3,516,628

2² × 37 × 23761

3,516,628 factors as 2^2 × 37 × 23761. Its 12 positive divisors give a proper-divisor sum of 2,804,064, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 23761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,320,692

Proper Divisor Sum 2,804,064

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3516599 ← → #3516641

Radix Representation

Decimal	3516628
Binary	1101011010100011010100 (22 bits)
Octal	0o15324324
Hexadecimal	0x35A8D4

Divisor Catalog (12)

1 2 4 37 74 148 23,761 47,522 95,044 879,157 1,758,314 3,516,628

Collatz Trajectory (102 steps to reach 1)

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

3,516,628 1,758,314 879,157 2,637,472 1,318,736 659,368 329,684 164,842 82,421 247,264 123,632 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864

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