λ
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Atlas › Integer Profiles › Node 56,876,300

56,876,300

22 × 52 × 13 × 67 × 653
Abundant Even Composite

56,876,300 factors as 2^2 × 5^2 × 13 × 67 × 653. Its 72 positive divisors give a proper-divisor sum of 78,229,636, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 67 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 135,105,936
Proper Divisor Sum 78,229,636
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #56876299 ← → #56876333

Radix Representation

Decimal 56876300
Binary 11011000111101110100001100 (26 bits)
Octal 0o330756414
Hexadecimal 0x363DD0C

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 260 268 325 335 650 653 670 871 1,300 1,306 1,340 1,675 1,742 2,612 3,265 3,350 3,484 4,355 6,530 6,700 8,489 8,710 13,060 16,325 16,978 17,420 21,775 32,650 33,956 42,445 43,550 43,751 65,300 84,890 87,100 87,502 169,780 175,004 212,225 218,755 424,450 437,510 568,763 848,900

Collatz Trajectory (269 steps to reach 1)

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

56,876,300 28,438,150 14,219,075 42,657,226 21,328,613 63,985,840 31,992,920 15,996,460 7,998,230 3,999,115 11,997,346 5,998,673 17,996,020 8,998,010 4,499,005 13,497,016 6,748,508 3,374,254 1,687,127 5,061,382 2,530,691 7,592,074 3,796,037 11,388,112 5,694,056 2,847,028 1,423,514 711,757 2,135,272 1,067,636 533,818 266,909 800,728 400,364 200,182 100,091 300,274 150,137 450,412 225,206 112,603 337,810 168,905 506,716 253,358 126,679 380,038 190,019 570,058 285,029 855,088 427,544 213,772 106,886 53,443 160,330 80,165 240,496 120,248 60,124

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