31,132,829

7 × 13 × 97 × 3527

31,132,829 factors as 7 × 13 × 97 × 3527. Its 16 positive divisors give a proper-divisor sum of 7,590,499, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 7 × 13 × 97 × 3527

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 38,723,328

Proper Divisor Sum 7,590,499

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #31132819 ← → #31132841

Radix Representation

Decimal	31132829
Binary	1110110110000110010011101 (25 bits)
Octal	0o166606235
Hexadecimal	0x1DB0C9D

Divisor Catalog (16)

1 7 13 91 97 679 1,261 3,527 8,827 24,689 45,851 320,957 342,119 2,394,833 4,447,547 31,132,829

Collatz Trajectory (180 steps to reach 1)

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

31,132,829 93,398,488 46,699,244 23,349,622 11,674,811 35,024,434 17,512,217 52,536,652 26,268,326 13,134,163 39,402,490 19,701,245 59,103,736 29,551,868 14,775,934 7,387,967 22,163,902 11,081,951 33,245,854 16,622,927 49,868,782 24,934,391 74,803,174 37,401,587 112,204,762 56,102,381 168,307,144 84,153,572 42,076,786 21,038,393 63,115,180 31,557,590 15,778,795 47,336,386 23,668,193 71,004,580 35,502,290 17,751,145 53,253,436 26,626,718 13,313,359 39,940,078 19,970,039 59,910,118 29,955,059 89,865,178 44,932,589 134,797,768 67,398,884 33,699,442 16,849,721 50,549,164 25,274,582 12,637,291 37,911,874 18,955,937 56,867,812 28,433,906 14,216,953 42,650,860

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