λ
Ratio Atlas

31,629,343

29 × 103 × 10589
Deficient Odd Composite

31,629,343 factors as 29 × 103 × 10589. Its 8 positive divisors give a proper-divisor sum of 1,411,457, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 29 × 103 × 10589
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 33,040,800
Proper Divisor Sum 1,411,457
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #31629341 ← → #31629349

Radix Representation

Decimal 31629343
Binary 1111000101010000000011111 (25 bits)
Octal 0o170520037
Hexadecimal 0x1E2A01F

Divisor Catalog (8)

Collatz Trajectory (126 steps to reach 1)

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

31,629,343 94,888,030 47,444,015 142,332,046 71,166,023 213,498,070 106,749,035 320,247,106 160,123,553 480,370,660 240,185,330 120,092,665 360,277,996 180,138,998 90,069,499 270,208,498 135,104,249 405,312,748 202,656,374 101,328,187 303,984,562 151,992,281 455,976,844 227,988,422 113,994,211 341,982,634 170,991,317 512,973,952 256,486,976 128,243,488 64,121,744 32,060,872 16,030,436 8,015,218 4,007,609 12,022,828 6,011,414 3,005,707 9,017,122 4,508,561 13,525,684 6,762,842 3,381,421 10,144,264 5,072,132 2,536,066 1,268,033 3,804,100 1,902,050 951,025 2,853,076 1,426,538 713,269 2,139,808 1,069,904 534,952 267,476 133,738 66,869 200,608

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