37,901,476

2² × 757 × 12517

37,901,476 factors as 2^2 × 757 × 12517. Its 12 positive divisors give a proper-divisor sum of 28,519,032, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 757 × 12517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 66,420,508

Proper Divisor Sum 28,519,032

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #37901459 ← → #37901497

Radix Representation

Decimal	37901476
Binary	10010000100101010010100100 (26 bits)
Octal	0o220452244
Hexadecimal	0x24254A4

Divisor Catalog (12)

1 2 4 757 1,514 3,028 12,517 25,034 50,068 9,475,369 18,950,738 37,901,476

Collatz Trajectory (209 steps to reach 1)

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

37,901,476 18,950,738 9,475,369 28,426,108 14,213,054 7,106,527 21,319,582 10,659,791 31,979,374 15,989,687 47,969,062 23,984,531 71,953,594 35,976,797 107,930,392 53,965,196 26,982,598 13,491,299 40,473,898 20,236,949 60,710,848 30,355,424 15,177,712 7,588,856 3,794,428 1,897,214 948,607 2,845,822 1,422,911 4,268,734 2,134,367 6,403,102 3,201,551 9,604,654 4,802,327 14,406,982 7,203,491 21,610,474 10,805,237 32,415,712 16,207,856 8,103,928 4,051,964 2,025,982 1,012,991 3,038,974 1,519,487 4,558,462 2,279,231 6,837,694 3,418,847 10,256,542 5,128,271 15,384,814 7,692,407 23,077,222 11,538,611 34,615,834 17,307,917 51,923,752

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