7,640,012

2² × 31 × 61613

7,640,012 factors as 2^2 × 31 × 61613. Its 12 positive divisors give a proper-divisor sum of 6,161,524, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 61613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,801,536

Proper Divisor Sum 6,161,524

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7639999 ← → #7640023

Radix Representation

Decimal	7640012
Binary	11101001001001111001100 (23 bits)
Octal	0o35111714
Hexadecimal	0x7493CC

Divisor Catalog (12)

1 2 4 31 62 124 61,613 123,226 246,452 1,910,003 3,820,006 7,640,012

Collatz Trajectory (217 steps to reach 1)

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

7,640,012 3,820,006 1,910,003 5,730,010 2,865,005 8,595,016 4,297,508 2,148,754 1,074,377 3,223,132 1,611,566 805,783 2,417,350 1,208,675 3,626,026 1,813,013 5,439,040 2,719,520 1,359,760 679,880 339,940 169,970 84,985 254,956 127,478 63,739 191,218 95,609 286,828 143,414 71,707 215,122 107,561 322,684 161,342 80,671 242,014 121,007 363,022 181,511 544,534 272,267 816,802 408,401 1,225,204 612,602 306,301 918,904 459,452 229,726 114,863 344,590 172,295 516,886 258,443 775,330 387,665 1,162,996 581,498 290,749

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