31,168,017

3³ × 179 × 6449

31,168,017 factors as 3^3 × 179 × 6449. Its 16 positive divisors give a proper-divisor sum of 15,271,983, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^3 × 179 × 6449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 46,440,000

Proper Divisor Sum 15,271,983

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #31168009 ← → #31168031

Radix Representation

Decimal	31168017
Binary	1110110111001011000010001 (25 bits)
Octal	0o166713021
Hexadecimal	0x1DB9611

Divisor Catalog (16)

1 3 9 27 179 537 1,611 4,833 6,449 19,347 58,041 174,123 1,154,371 3,463,113 10,389,339 31,168,017

Collatz Trajectory (95 steps to reach 1)

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

31,168,017 93,504,052 46,752,026 23,376,013 70,128,040 35,064,020 17,532,010 8,766,005 26,298,016 13,149,008 6,574,504 3,287,252 1,643,626 821,813 2,465,440 1,232,720 616,360 308,180 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917

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