37,459,474

2 × 13 × 29 × 49681

37,459,474 factors as 2 × 13 × 29 × 49681. Its 16 positive divisors give a proper-divisor sum of 25,139,846, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 49681

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 62,599,320

Proper Divisor Sum 25,139,846

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #37459453 ← → #37459489

Radix Representation

Decimal	37459474
Binary	10001110111001011000010010 (26 bits)
Octal	0o216713022
Hexadecimal	0x23B9612

Divisor Catalog (16)

1 2 13 26 29 58 377 754 49,681 99,362 645,853 1,291,706 1,440,749 2,881,498 18,729,737 37,459,474

Collatz Trajectory (134 steps to reach 1)

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

37,459,474 18,729,737 56,189,212 28,094,606 14,047,303 42,141,910 21,070,955 63,212,866 31,606,433 94,819,300 47,409,650 23,704,825 71,114,476 35,557,238 17,778,619 53,335,858 26,667,929 80,003,788 40,001,894 20,000,947 60,002,842 30,001,421 90,004,264 45,002,132 22,501,066 11,250,533 33,751,600 16,875,800 8,437,900 4,218,950 2,109,475 6,328,426 3,164,213 9,492,640 4,746,320 2,373,160 1,186,580 593,290 296,645 889,936 444,968 222,484 111,242 55,621 166,864 83,432 41,716 20,858 10,429 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601

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