31,197,464

2³ × 103 × 37861

31,197,464 factors as 2^3 × 103 × 37861. Its 16 positive divisors give a proper-divisor sum of 27,867,256, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 103 × 37861

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,064,720

Proper Divisor Sum 27,867,256

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #31197457 ← → #31197469

Radix Representation

Decimal	31197464
Binary	1110111000000100100011000 (25 bits)
Octal	0o167004430
Hexadecimal	0x1DC0918

Divisor Catalog (16)

1 2 4 8 103 206 412 824 37,861 75,722 151,444 302,888 3,899,683 7,799,366 15,598,732 31,197,464

Collatz Trajectory (188 steps to reach 1)

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

31,197,464 15,598,732 7,799,366 3,899,683 11,699,050 5,849,525 17,548,576 8,774,288 4,387,144 2,193,572 1,096,786 548,393 1,645,180 822,590 411,295 1,233,886 616,943 1,850,830 925,415 2,776,246 1,388,123 4,164,370 2,082,185 6,246,556 3,123,278 1,561,639 4,684,918 2,342,459 7,027,378 3,513,689 10,541,068 5,270,534 2,635,267 7,905,802 3,952,901 11,858,704 5,929,352 2,964,676 1,482,338 741,169 2,223,508 1,111,754 555,877 1,667,632 833,816 416,908 208,454 104,227 312,682 156,341 469,024 234,512 117,256 58,628 29,314 14,657 43,972 21,986 10,993 32,980

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