37,501,348

2² × 71 × 132047

37,501,348 factors as 2^2 × 71 × 132047. Its 12 positive divisors give a proper-divisor sum of 29,050,844, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 71 × 132047

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 66,552,192

Proper Divisor Sum 29,050,844

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #37501333 ← → #37501349

Radix Representation

Decimal	37501348
Binary	10001111000011100110100100 (26 bits)
Octal	0o217034644
Hexadecimal	0x23C39A4

Divisor Catalog (12)

1 2 4 71 142 284 132,047 264,094 528,188 9,375,337 18,750,674 37,501,348

Collatz Trajectory (134 steps to reach 1)

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

37,501,348 18,750,674 9,375,337 28,126,012 14,063,006 7,031,503 21,094,510 10,547,255 31,641,766 15,820,883 47,462,650 23,731,325 71,193,976 35,596,988 17,798,494 8,899,247 26,697,742 13,348,871 40,046,614 20,023,307 60,069,922 30,034,961 90,104,884 45,052,442 22,526,221 67,578,664 33,789,332 16,894,666 8,447,333 25,342,000 12,671,000 6,335,500 3,167,750 1,583,875 4,751,626 2,375,813 7,127,440 3,563,720 1,781,860 890,930 445,465 1,336,396 668,198 334,099 1,002,298 501,149 1,503,448 751,724 375,862 187,931 563,794 281,897 845,692 422,846 211,423 634,270 317,135 951,406 475,703 1,427,110

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