λ
Prime Ledger

5,511,375

33 × 53 × 23 × 71
Deficient Odd Composite

5,511,375 has the prime decomposition 3^3 × 5^3 × 23 × 71. Its 4 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5^3 × 23 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,782,720
Proper Divisor Sum 5,271,345
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5511347 ← → #5511377

Radix Representation

Decimal 5511375
Binary 10101000001100011001111 (23 bits)
Octal 0o25014317
Hexadecimal 0x5418CF

Divisor Catalog (60 of 64)

1 3 5 9 15 23 25 27 45 69 71 75 115 125 135 207 213 225 345 355 375 575 621 639 675 1,035 1,065 1,125 1,633 1,725 1,775 1,917 2,875 3,105 3,195 3,375 4,899 5,175 5,325 8,165 8,625 8,875 9,585 14,697 15,525 15,975 24,495 25,875 26,625 40,825 44,091 47,925 73,485 77,625 79,875 122,475 204,125 220,455 239,625 367,425

Collatz Trajectory (170 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,511,375 16,534,126 8,267,063 24,801,190 12,400,595 37,201,786 18,600,893 55,802,680 27,901,340 13,950,670 6,975,335 20,926,006 10,463,003 31,389,010 15,694,505 47,083,516 23,541,758 11,770,879 35,312,638 17,656,319 52,968,958 26,484,479 79,453,438 39,726,719 119,180,158 59,590,079 178,770,238 89,385,119 268,155,358 134,077,679 402,233,038 201,116,519 603,349,558 301,674,779 905,024,338 452,512,169 1,357,536,508 678,768,254 339,384,127 1,018,152,382 509,076,191 1,527,228,574 763,614,287 2,290,842,862 1,145,421,431 3,436,264,294 1,718,132,147 5,154,396,442 2,577,198,221 7,731,594,664 3,865,797,332 1,932,898,666 966,449,333 2,899,348,000 1,449,674,000 724,837,000 362,418,500 181,209,250 90,604,625 271,813,876

More profiles

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