59,637,873

3 × 23² × 37579

59,637,873 factors as 3 × 23^2 × 37579. Its 12 positive divisors give a proper-divisor sum of 23,489,087, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 3 × 23^2 × 37579

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 83,126,960

Proper Divisor Sum 23,489,087

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #59637869 ← → #59637889

Radix Representation

Decimal	59637873
Binary	11100011100000000001110001 (26 bits)
Octal	0o343400161
Hexadecimal	0x38E0071

Divisor Catalog (12)

1 3 23 69 529 1,587 37,579 112,737 864,317 2,592,951 19,879,291 59,637,873

Collatz Trajectory (70 steps to reach 1)

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

59,637,873 178,913,620 89,456,810 44,728,405 134,185,216 67,092,608 33,546,304 16,773,152 8,386,576 4,193,288 2,096,644 1,048,322 524,161 1,572,484 786,242 393,121 1,179,364 589,682 294,841 884,524 442,262 221,131 663,394 331,697 995,092 497,546 248,773 746,320 373,160 186,580 93,290 46,645 139,936 69,968 34,984 17,492 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52

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