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Atlas › Integer Profiles › Node 43,838,656

43,838,656

26 × 251 × 2729
Deficient Even Composite

43,838,656 factors as 2^6 × 251 × 2729. Its 28 positive divisors give a proper-divisor sum of 43,532,264, so this integer is deficient. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^6 × 251 × 2729
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 87,370,920
Proper Divisor Sum 43,532,264
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #43838653 ← → #43838659

Radix Representation

Decimal 43838656
Binary 10100111001110110011000000 (26 bits)
Octal 0o247166300
Hexadecimal 0x29CECC0

Divisor Catalog (28)

1 2 4 8 16 32 64 251 502 1,004 2,008 2,729 4,016 5,458 8,032 10,916 16,064 21,832 43,664 87,328 174,656 684,979 1,369,958 2,739,916 5,479,832 10,959,664 21,919,328 43,838,656

Collatz Trajectory (59 steps to reach 1)

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

43,838,656 21,919,328 10,959,664 5,479,832 2,739,916 1,369,958 684,979 2,054,938 1,027,469 3,082,408 1,541,204 770,602 385,301 1,155,904 577,952 288,976 144,488 72,244 36,122 18,061 54,184 27,092 13,546 6,773 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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