31,123,761

3 × 23 × 451069

31,123,761 factors as 3 × 23 × 451069. Its 8 positive divisors give a proper-divisor sum of 12,178,959, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 3 × 23 × 451069

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 43,302,720

Proper Divisor Sum 12,178,959

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #31123727 ← → #31123789

Radix Representation

Decimal	31123761
Binary	1110110101110100100110001 (25 bits)
Octal	0o166564461
Hexadecimal	0x1DAE931

Divisor Catalog (8)

1 3 23 69 451,069 1,353,207 10,374,587 31,123,761

Collatz Trajectory (157 steps to reach 1)

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

31,123,761 93,371,284 46,685,642 23,342,821 70,028,464 35,014,232 17,507,116 8,753,558 4,376,779 13,130,338 6,565,169 19,695,508 9,847,754 4,923,877 14,771,632 7,385,816 3,692,908 1,846,454 923,227 2,769,682 1,384,841 4,154,524 2,077,262 1,038,631 3,115,894 1,557,947 4,673,842 2,336,921 7,010,764 3,505,382 1,752,691 5,258,074 2,629,037 7,887,112 3,943,556 1,971,778 985,889 2,957,668 1,478,834 739,417 2,218,252 1,109,126 554,563 1,663,690 831,845 2,495,536 1,247,768 623,884 311,942 155,971 467,914 233,957 701,872 350,936 175,468 87,734 43,867 131,602 65,801 197,404

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