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Atlas › Integer Profiles › Node 55,368,736

55,368,736

25 × 192 × 4793
Abundant Even Composite

55,368,736 factors as 2^5 × 19^2 × 4793. Its 36 positive divisors give a proper-divisor sum of 59,701,646, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^5 × 19^2 × 4793
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 115,070,382
Proper Divisor Sum 59,701,646
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #55368713 ← → #55368787

Radix Representation

Decimal 55368736
Binary 11010011001101110000100000 (26 bits)
Octal 0o323156040
Hexadecimal 0x34CDC20

Divisor Catalog (36)

1 2 4 8 16 19 32 38 76 152 304 361 608 722 1,444 2,888 4,793 5,776 9,586 11,552 19,172 38,344 76,688 91,067 153,376 182,134 364,268 728,536 1,457,072 1,730,273 2,914,144 3,460,546 6,921,092 13,842,184 27,684,368 55,368,736

Collatz Trajectory (225 steps to reach 1)

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

55,368,736 27,684,368 13,842,184 6,921,092 3,460,546 1,730,273 5,190,820 2,595,410 1,297,705 3,893,116 1,946,558 973,279 2,919,838 1,459,919 4,379,758 2,189,879 6,569,638 3,284,819 9,854,458 4,927,229 14,781,688 7,390,844 3,695,422 1,847,711 5,543,134 2,771,567 8,314,702 4,157,351 12,472,054 6,236,027 18,708,082 9,354,041 28,062,124 14,031,062 7,015,531 21,046,594 10,523,297 31,569,892 15,784,946 7,892,473 23,677,420 11,838,710 5,919,355 17,758,066 8,879,033 26,637,100 13,318,550 6,659,275 19,977,826 9,988,913 29,966,740 14,983,370 7,491,685 22,475,056 11,237,528 5,618,764 2,809,382 1,404,691 4,214,074 2,107,037

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