36,917,032

2³ × 31 × 148859

36,917,032 factors as 2^3 × 31 × 148859. Its 16 positive divisors give a proper-divisor sum of 34,535,768, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 148859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 71,452,800

Proper Divisor Sum 34,535,768

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #36917021 ← → #36917059

Radix Representation

Decimal	36917032
Binary	10001100110100111100101000 (26 bits)
Octal	0o214647450
Hexadecimal	0x2334F28

Divisor Catalog (16)

1 2 4 8 31 62 124 248 148,859 297,718 595,436 1,190,872 4,614,629 9,229,258 18,458,516 36,917,032

Collatz Trajectory (196 steps to reach 1)

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

36,917,032 18,458,516 9,229,258 4,614,629 13,843,888 6,921,944 3,460,972 1,730,486 865,243 2,595,730 1,297,865 3,893,596 1,946,798 973,399 2,920,198 1,460,099 4,380,298 2,190,149 6,570,448 3,285,224 1,642,612 821,306 410,653 1,231,960 615,980 307,990 153,995 461,986 230,993 692,980 346,490 173,245 519,736 259,868 129,934 64,967 194,902 97,451 292,354 146,177 438,532 219,266 109,633 328,900 164,450 82,225 246,676 123,338 61,669 185,008 92,504 46,252 23,126 11,563 34,690 17,345 52,036 26,018 13,009 39,028

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