3,647,472

2⁴ × 3 × 75989

3,647,472 factors as 2^4 × 3 × 75989. Its 20 positive divisors give a proper-divisor sum of 5,775,288, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 75989

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,422,760

Proper Divisor Sum 5,775,288

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3647461 ← → #3647477

Radix Representation

Decimal	3647472
Binary	1101111010011111110000 (22 bits)
Octal	0o15723760
Hexadecimal	0x37A7F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 75,989 151,978 227,967 303,956 455,934 607,912 911,868 1,215,824 1,823,736 3,647,472

Collatz Trajectory (128 steps to reach 1)

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

3,647,472 1,823,736 911,868 455,934 227,967 683,902 341,951 1,025,854 512,927 1,538,782 769,391 2,308,174 1,154,087 3,462,262 1,731,131 5,193,394 2,596,697 7,790,092 3,895,046 1,947,523 5,842,570 2,921,285 8,763,856 4,381,928 2,190,964 1,095,482 547,741 1,643,224 821,612 410,806 205,403 616,210 308,105 924,316 462,158 231,079 693,238 346,619 1,039,858 519,929 1,559,788 779,894 389,947 1,169,842 584,921 1,754,764 877,382 438,691 1,316,074 658,037 1,974,112 987,056 493,528 246,764 123,382 61,691 185,074 92,537 277,612 138,806

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