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Atlas › Integer Profiles › Node 58,956,092

58,956,092

22 × 13 × 89 × 12739
Deficient Even Composite

58,956,092 factors as 2^2 × 13 × 89 × 12739. Its 24 positive divisors give a proper-divisor sum of 53,410,708, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 89 × 12739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 112,366,800
Proper Divisor Sum 53,410,708
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #58956091 ← → #58956109

Radix Representation

Decimal 58956092
Binary 11100000111001100100111100 (26 bits)
Octal 0o340714474
Hexadecimal 0x383993C

Divisor Catalog (24)

1 2 4 13 26 52 89 178 356 1,157 2,314 4,628 12,739 25,478 50,956 165,607 331,214 662,428 1,133,771 2,267,542 4,535,084 14,739,023 29,478,046 58,956,092

Collatz Trajectory (145 steps to reach 1)

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

58,956,092 29,478,046 14,739,023 44,217,070 22,108,535 66,325,606 33,162,803 99,488,410 49,744,205 149,232,616 74,616,308 37,308,154 18,654,077 55,962,232 27,981,116 13,990,558 6,995,279 20,985,838 10,492,919 31,478,758 15,739,379 47,218,138 23,609,069 70,827,208 35,413,604 17,706,802 8,853,401 26,560,204 13,280,102 6,640,051 19,920,154 9,960,077 29,880,232 14,940,116 7,470,058 3,735,029 11,205,088 5,602,544 2,801,272 1,400,636 700,318 350,159 1,050,478 525,239 1,575,718 787,859 2,363,578 1,181,789 3,545,368 1,772,684 886,342 443,171 1,329,514 664,757 1,994,272 997,136 498,568 249,284 124,642 62,321

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