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58,625,360

24 × 5 × 732817
Abundant Even Composite

58,625,360 factors as 2^4 × 5 × 732817. Its 20 positive divisors give a proper-divisor sum of 77,678,788, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 732817
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 136,304,148
Proper Divisor Sum 77,678,788
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #58625267 ← → #58625381

Radix Representation

Decimal 58625360
Binary 11011111101000110101010000 (26 bits)
Octal 0o337506520
Hexadecimal 0x37E8D50

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 732,817 1,465,634 2,931,268 3,664,085 5,862,536 7,328,170 11,725,072 14,656,340 29,312,680 58,625,360

Collatz Trajectory (88 steps to reach 1)

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

58,625,360 29,312,680 14,656,340 7,328,170 3,664,085 10,992,256 5,496,128 2,748,064 1,374,032 687,016 343,508 171,754 85,877 257,632 128,816 64,408 32,204 16,102 8,051 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

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