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Atlas › Integer Profiles › Node 59,298,560

59,298,560

28 × 5 × 46327
Abundant Even Composite

59,298,560 factors as 2^8 × 5 × 46327. Its 36 positive divisors give a proper-divisor sum of 82,743,088, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^8 × 5 × 46327
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 142,041,648
Proper Divisor Sum 82,743,088
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #59298559 ← → #59298571

Radix Representation

Decimal 59298560
Binary 11100010001101001100000000 (26 bits)
Octal 0o342151400
Hexadecimal 0x388D300

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1,280 46,327 92,654 185,308 231,635 370,616 463,270 741,232 926,540 1,482,464 1,853,080 2,964,928 3,706,160 5,929,856 7,412,320 11,859,712 14,824,640 29,649,280 59,298,560

Collatz Trajectory (176 steps to reach 1)

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

59,298,560 29,649,280 14,824,640 7,412,320 3,706,160 1,853,080 926,540 463,270 231,635 694,906 347,453 1,042,360 521,180 260,590 130,295 390,886 195,443 586,330 293,165 879,496 439,748 219,874 109,937 329,812 164,906 82,453 247,360 123,680 61,840 30,920 15,460 7,730 3,865 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744

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