3,676,508

2² × 11 × 83557

3,676,508 factors as 2^2 × 11 × 83557. Its 12 positive divisors give a proper-divisor sum of 3,342,364, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 83557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,018,872

Proper Divisor Sum 3,342,364

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3676493 ← → #3676513

Radix Representation

Decimal	3676508
Binary	1110000001100101011100 (22 bits)
Octal	0o16014534
Hexadecimal	0x38195C

Divisor Catalog (12)

1 2 4 11 22 44 83,557 167,114 334,228 919,127 1,838,254 3,676,508

Collatz Trajectory (216 steps to reach 1)

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

3,676,508 1,838,254 919,127 2,757,382 1,378,691 4,136,074 2,068,037 6,204,112 3,102,056 1,551,028 775,514 387,757 1,163,272 581,636 290,818 145,409 436,228 218,114 109,057 327,172 163,586 81,793 245,380 122,690 61,345 184,036 92,018 46,009 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323

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