λ
Prime Ledger

3,590,750

2 × 53 × 53 × 271
Deficient Even Composite

3,590,750 has the prime decomposition 2 × 5^3 × 53 × 271. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 53 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,873,984
Proper Divisor Sum 3,283,234
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3590707 ← → #3590759

Radix Representation

Decimal 3590750
Binary 1101101100101001011110 (22 bits)
Octal 0o15545136
Hexadecimal 0x36CA5E

Divisor Catalog (32)

1 2 5 10 25 50 53 106 125 250 265 271 530 542 1,325 1,355 2,650 2,710 6,625 6,775 13,250 13,550 14,363 28,726 33,875 67,750 71,815 143,630 359,075 718,150 1,795,375 3,590,750

Collatz Trajectory (234 steps to reach 1)

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

3,590,750 1,795,375 5,386,126 2,693,063 8,079,190 4,039,595 12,118,786 6,059,393 18,178,180 9,089,090 4,544,545 13,633,636 6,816,818 3,408,409 10,225,228 5,112,614 2,556,307 7,668,922 3,834,461 11,503,384 5,751,692 2,875,846 1,437,923 4,313,770 2,156,885 6,470,656 3,235,328 1,617,664 808,832 404,416 202,208 101,104 50,552 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781

More profiles

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