7,648,996

2² × 59 × 32411

7,648,996 factors as 2^2 × 59 × 32411. Its 12 positive divisors give a proper-divisor sum of 5,964,044, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 32411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,613,040

Proper Divisor Sum 5,964,044

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #7648987 ← → #7649003

Radix Representation

Decimal	7648996
Binary	11101001011011011100100 (23 bits)
Octal	0o35133344
Hexadecimal	0x74B6E4

Divisor Catalog (12)

1 2 4 59 118 236 32,411 64,822 129,644 1,912,249 3,824,498 7,648,996

Collatz Trajectory (85 steps to reach 1)

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

7,648,996 3,824,498 1,912,249 5,736,748 2,868,374 1,434,187 4,302,562 2,151,281 6,453,844 3,226,922 1,613,461 4,840,384 2,420,192 1,210,096 605,048 302,524 151,262 75,631 226,894 113,447 340,342 170,171 510,514 255,257 765,772 382,886 191,443 574,330 287,165 861,496 430,748 215,374 107,687 323,062 161,531 484,594 242,297 726,892 363,446 181,723 545,170 272,585 817,756 408,878 204,439 613,318 306,659 919,978 459,989 1,379,968 689,984 344,992 172,496 86,248 43,124 21,562 10,781 32,344 16,172 8,086

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