λ
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Atlas › Integer Profiles › Node 56,282,964

56,282,964

22 × 3 × 83 × 56509
Abundant Even Composite

56,282,964 factors as 2^2 × 3 × 83 × 56509. Its 24 positive divisors give a proper-divisor sum of 76,628,556, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 83 × 56509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 132,911,520
Proper Divisor Sum 76,628,556
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #56282929 ← → #56282969

Radix Representation

Decimal 56282964
Binary 11010110101100111101010100 (26 bits)
Octal 0o326547524
Hexadecimal 0x35ACF54

Divisor Catalog (24)

1 2 3 4 6 12 83 166 249 332 498 996 56,509 113,018 169,527 226,036 339,054 678,108 4,690,247 9,380,494 14,070,741 18,760,988 28,141,482 56,282,964

Collatz Trajectory (106 steps to reach 1)

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

56,282,964 28,141,482 14,070,741 42,212,224 21,106,112 10,553,056 5,276,528 2,638,264 1,319,132 659,566 329,783 989,350 494,675 1,484,026 742,013 2,226,040 1,113,020 556,510 278,255 834,766 417,383 1,252,150 626,075 1,878,226 939,113 2,817,340 1,408,670 704,335 2,113,006 1,056,503 3,169,510 1,584,755 4,754,266 2,377,133 7,131,400 3,565,700 1,782,850 891,425 2,674,276 1,337,138 668,569 2,005,708 1,002,854 501,427 1,504,282 752,141 2,256,424 1,128,212 564,106 282,053 846,160 423,080 211,540 105,770 52,885 158,656 79,328 39,664 19,832 9,916

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