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Atlas › Integer Profiles › Node 58,500,656

58,500,656

24 × 29 × 126079
Abundant Even Composite

58,500,656 factors as 2^4 × 29 × 126079. Its 20 positive divisors give a proper-divisor sum of 58,753,744, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 126079
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 117,254,400
Proper Divisor Sum 58,753,744
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #58500649 ← → #58500691

Radix Representation

Decimal 58500656
Binary 11011111001010011000110000 (26 bits)
Octal 0o337123060
Hexadecimal 0x37CA630

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 126,079 252,158 504,316 1,008,632 2,017,264 3,656,291 7,312,582 14,625,164 29,250,328 58,500,656

Collatz Trajectory (207 steps to reach 1)

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

58,500,656 29,250,328 14,625,164 7,312,582 3,656,291 10,968,874 5,484,437 16,453,312 8,226,656 4,113,328 2,056,664 1,028,332 514,166 257,083 771,250 385,625 1,156,876 578,438 289,219 867,658 433,829 1,301,488 650,744 325,372 162,686 81,343 244,030 122,015 366,046 183,023 549,070 274,535 823,606 411,803 1,235,410 617,705 1,853,116 926,558 463,279 1,389,838 694,919 2,084,758 1,042,379 3,127,138 1,563,569 4,690,708 2,345,354 1,172,677 3,518,032 1,759,016 879,508 439,754 219,877 659,632 329,816 164,908 82,454 41,227 123,682 61,841

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