λ
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Atlas › Integer Profiles › Node 31,645,754

31,645,754

2 × 7 × 19 × 271 × 439
Deficient Even Composite

31,645,754 factors as 2 × 7 × 19 × 271 × 439. Its 32 positive divisors give a proper-divisor sum of 25,800,646, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 271 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,446,400
Proper Divisor Sum 25,800,646
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31645729 ← → #31645759

Radix Representation

Decimal 31645754
Binary 1111000101110000000111010 (25 bits)
Octal 0o170560072
Hexadecimal 0x1E2E03A

Divisor Catalog (32)

1 2 7 14 19 38 133 266 271 439 542 878 1,897 3,073 3,794 5,149 6,146 8,341 10,298 16,682 36,043 58,387 72,086 116,774 118,969 237,938 832,783 1,665,566 2,260,411 4,520,822 15,822,877 31,645,754

Collatz Trajectory (149 steps to reach 1)

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

31,645,754 15,822,877 47,468,632 23,734,316 11,867,158 5,933,579 17,800,738 8,900,369 26,701,108 13,350,554 6,675,277 20,025,832 10,012,916 5,006,458 2,503,229 7,509,688 3,754,844 1,877,422 938,711 2,816,134 1,408,067 4,224,202 2,112,101 6,336,304 3,168,152 1,584,076 792,038 396,019 1,188,058 594,029 1,782,088 891,044 445,522 222,761 668,284 334,142 167,071 501,214 250,607 751,822 375,911 1,127,734 563,867 1,691,602 845,801 2,537,404 1,268,702 634,351 1,903,054 951,527 2,854,582 1,427,291 4,281,874 2,140,937 6,422,812 3,211,406 1,605,703 4,817,110 2,408,555 7,225,666

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