λ
Prime Ledger

7,155,249

3 × 17 × 307 × 457
Deficient Odd Composite

7,155,249 has the prime decomposition 3 × 17 × 307 × 457. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 307 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,156,608
Proper Divisor Sum 3,001,359
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7155217 ← → #7155271

Radix Representation

Decimal 7155249
Binary 11011010010111000110001 (23 bits)
Octal 0o33227061
Hexadecimal 0x6D2E31

Divisor Catalog (16)

1 3 17 51 307 457 921 1,371 5,219 7,769 15,657 23,307 140,299 420,897 2,385,083 7,155,249

Collatz Trajectory (98 steps to reach 1)

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

7,155,249 21,465,748 10,732,874 5,366,437 16,099,312 8,049,656 4,024,828 2,012,414 1,006,207 3,018,622 1,509,311 4,527,934 2,263,967 6,791,902 3,395,951 10,187,854 5,093,927 15,281,782 7,640,891 22,922,674 11,461,337 34,384,012 17,192,006 8,596,003 25,788,010 12,894,005 38,682,016 19,341,008 9,670,504 4,835,252 2,417,626 1,208,813 3,626,440 1,813,220 906,610 453,305 1,359,916 679,958 339,979 1,019,938 509,969 1,529,908 764,954 382,477 1,147,432 573,716 286,858 143,429 430,288 215,144 107,572 53,786 26,893 80,680 40,340 20,170 10,085 30,256 15,128 7,564

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