8,629,631

251 × 34381

8,629,631 factors as 251 × 34381. Its 4 positive divisors give a proper-divisor sum of 34,633, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 251 × 34381

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,664,264

Proper Divisor Sum 34,633

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8629613 ← → #8629637

Radix Representation

Decimal	8629631
Binary	100000111010110101111111 (24 bits)
Octal	0o40726577
Hexadecimal	0x83AD7F

Divisor Catalog (4)

1 251 34,381 8,629,631

Collatz Trajectory (274 steps to reach 1)

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

8,629,631 25,888,894 12,944,447 38,833,342 19,416,671 58,250,014 29,125,007 87,375,022 43,687,511 131,062,534 65,531,267 196,593,802 98,296,901 294,890,704 147,445,352 73,722,676 36,861,338 18,430,669 55,292,008 27,646,004 13,823,002 6,911,501 20,734,504 10,367,252 5,183,626 2,591,813 7,775,440 3,887,720 1,943,860 971,930 485,965 1,457,896 728,948 364,474 182,237 546,712 273,356 136,678 68,339 205,018 102,509 307,528 153,764 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414

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