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Atlas › Integer Profiles › Node 55,880,972

55,880,972

22 × 72 × 17 × 31 × 541
Abundant Even Composite

55,880,972 factors as 2^2 × 7^2 × 17 × 31 × 541. Its 72 positive divisors give a proper-divisor sum of 68,683,636, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 17 × 31 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 124,564,608
Proper Divisor Sum 68,683,636
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #55880971 ← → #55881031

Radix Representation

Decimal 55880972
Binary 11010101001010110100001100 (26 bits)
Octal 0o325126414
Hexadecimal 0x354AD0C

Divisor Catalog (60 of 72)

1 2 4 7 14 17 28 31 34 49 62 68 98 119 124 196 217 238 434 476 527 541 833 868 1,054 1,082 1,519 1,666 2,108 2,164 3,038 3,332 3,689 3,787 6,076 7,378 7,574 9,197 14,756 15,148 16,771 18,394 25,823 26,509 33,542 36,788 51,646 53,018 64,379 67,084 103,292 106,036 117,397 128,758 234,794 257,516 285,107 450,653 469,588 570,214

Collatz Trajectory (163 steps to reach 1)

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

55,880,972 27,940,486 13,970,243 41,910,730 20,955,365 62,866,096 31,433,048 15,716,524 7,858,262 3,929,131 11,787,394 5,893,697 17,681,092 8,840,546 4,420,273 13,260,820 6,630,410 3,315,205 9,945,616 4,972,808 2,486,404 1,243,202 621,601 1,864,804 932,402 466,201 1,398,604 699,302 349,651 1,048,954 524,477 1,573,432 786,716 393,358 196,679 590,038 295,019 885,058 442,529 1,327,588 663,794 331,897 995,692 497,846 248,923 746,770 373,385 1,120,156 560,078 280,039 840,118 420,059 1,260,178 630,089 1,890,268 945,134 472,567 1,417,702 708,851 2,126,554

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