83,046,262

2 × 13² × 277 × 887

83,046,262 factors as 2 × 13^2 × 277 × 887. Its 24 positive divisors give a proper-divisor sum of 52,482,074, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 277 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 135,528,336

Proper Divisor Sum 52,482,074

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #83046253 ← → #83046281

Radix Representation

Decimal	83046262
Binary	100111100110010111101110110 (27 bits)
Octal	0o474627566
Hexadecimal	0x4F32F76

Divisor Catalog (24)

Collatz Trajectory (117 steps to reach 1)

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

83,046,262 41,523,131 124,569,394 62,284,697 186,854,092 93,427,046 46,713,523 140,140,570 70,070,285 210,210,856 105,105,428 52,552,714 26,276,357 78,829,072 39,414,536 19,707,268 9,853,634 4,926,817 14,780,452 7,390,226 3,695,113 11,085,340 5,542,670 2,771,335 8,314,006 4,157,003 12,471,010 6,235,505 18,706,516 9,353,258 4,676,629 14,029,888 7,014,944 3,507,472 1,753,736 876,868 438,434 219,217 657,652 328,826 164,413 493,240 246,620 123,310 61,655 184,966 92,483 277,450 138,725 416,176 208,088 104,044 52,022 26,011 78,034 39,017 117,052 58,526 29,263 87,790

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