37,183,025

5² × 11 × 135211

37,183,025 factors as 5^2 × 11 × 135211. Its 12 positive divisors give a proper-divisor sum of 13,115,839, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 135211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 50,298,864

Proper Divisor Sum 13,115,839

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #37183021 ← → #37183031

Radix Representation

Decimal	37183025
Binary	10001101110101111000110001 (26 bits)
Octal	0o215657061
Hexadecimal	0x2375E31

Divisor Catalog (12)

1 5 11 25 55 275 135,211 676,055 1,487,321 3,380,275 7,436,605 37,183,025

Collatz Trajectory (165 steps to reach 1)

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

37,183,025 111,549,076 55,774,538 27,887,269 83,661,808 41,830,904 20,915,452 10,457,726 5,228,863 15,686,590 7,843,295 23,529,886 11,764,943 35,294,830 17,647,415 52,942,246 26,471,123 79,413,370 39,706,685 119,120,056 59,560,028 29,780,014 14,890,007 44,670,022 22,335,011 67,005,034 33,502,517 100,507,552 50,253,776 25,126,888 12,563,444 6,281,722 3,140,861 9,422,584 4,711,292 2,355,646 1,177,823 3,533,470 1,766,735 5,300,206 2,650,103 7,950,310 3,975,155 11,925,466 5,962,733 17,888,200 8,944,100 4,472,050 2,236,025 6,708,076 3,354,038 1,677,019 5,031,058 2,515,529 7,546,588 3,773,294 1,886,647 5,659,942 2,829,971 8,489,914

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