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Atlas › Integer Profiles › Node 56,569,864

56,569,864

23 × 13 × 127 × 4283
Abundant Even Composite

56,569,864 factors as 2^3 × 13 × 127 × 4283. Its 32 positive divisors give a proper-divisor sum of 58,584,056, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 127 × 4283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,153,920
Proper Divisor Sum 58,584,056
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #56569847 ← → #56569867

Radix Representation

Decimal 56569864
Binary 11010111110011000000001000 (26 bits)
Octal 0o327630010
Hexadecimal 0x35F3008

Divisor Catalog (32)

1 2 4 8 13 26 52 104 127 254 508 1,016 1,651 3,302 4,283 6,604 8,566 13,208 17,132 34,264 55,679 111,358 222,716 445,432 543,941 1,087,882 2,175,764 4,351,528 7,071,233 14,142,466 28,284,932 56,569,864

Collatz Trajectory (300 steps to reach 1)

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

56,569,864 28,284,932 14,142,466 7,071,233 21,213,700 10,606,850 5,303,425 15,910,276 7,955,138 3,977,569 11,932,708 5,966,354 2,983,177 8,949,532 4,474,766 2,237,383 6,712,150 3,356,075 10,068,226 5,034,113 15,102,340 7,551,170 3,775,585 11,326,756 5,663,378 2,831,689 8,495,068 4,247,534 2,123,767 6,371,302 3,185,651 9,556,954 4,778,477 14,335,432 7,167,716 3,583,858 1,791,929 5,375,788 2,687,894 1,343,947 4,031,842 2,015,921 6,047,764 3,023,882 1,511,941 4,535,824 2,267,912 1,133,956 566,978 283,489 850,468 425,234 212,617 637,852 318,926 159,463 478,390 239,195 717,586 358,793

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