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Atlas › Integer Profiles › Node 43,826,596

43,826,596

22 × 11 × 71 × 14029
Deficient Even Composite

43,826,596 factors as 2^2 × 11 × 71 × 14029. Its 24 positive divisors give a proper-divisor sum of 41,026,844, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 71 × 14029
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 84,853,440
Proper Divisor Sum 41,026,844
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #43826567 ← → #43826617

Radix Representation

Decimal 43826596
Binary 10100111001011110110100100 (26 bits)
Octal 0o247136644
Hexadecimal 0x29CBDA4

Divisor Catalog (24)

1 2 4 11 22 44 71 142 284 781 1,562 3,124 14,029 28,058 56,116 154,319 308,638 617,276 996,059 1,992,118 3,984,236 10,956,649 21,913,298 43,826,596

Collatz Trajectory (111 steps to reach 1)

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

43,826,596 21,913,298 10,956,649 32,869,948 16,434,974 8,217,487 24,652,462 12,326,231 36,978,694 18,489,347 55,468,042 27,734,021 83,202,064 41,601,032 20,800,516 10,400,258 5,200,129 15,600,388 7,800,194 3,900,097 11,700,292 5,850,146 2,925,073 8,775,220 4,387,610 2,193,805 6,581,416 3,290,708 1,645,354 822,677 2,468,032 1,234,016 617,008 308,504 154,252 77,126 38,563 115,690 57,845 173,536 86,768 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723

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