32,016,132

2² × 3² × 889337

32,016,132 factors as 2^2 × 3^2 × 889337. Its 18 positive divisors give a proper-divisor sum of 48,913,626, so this integer is abundant. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 889337

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 80,929,758

Proper Divisor Sum 48,913,626

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #32016107 ← → #32016133

Radix Representation

Decimal	32016132
Binary	1111010001000011100000100 (25 bits)
Octal	0o172103404
Hexadecimal	0x1E88704

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 889,337 1,778,674 2,668,011 3,557,348 5,336,022 8,004,033 10,672,044 16,008,066 32,016,132

Collatz Trajectory (307 steps to reach 1)

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

32,016,132 16,008,066 8,004,033 24,012,100 12,006,050 6,003,025 18,009,076 9,004,538 4,502,269 13,506,808 6,753,404 3,376,702 1,688,351 5,065,054 2,532,527 7,597,582 3,798,791 11,396,374 5,698,187 17,094,562 8,547,281 25,641,844 12,820,922 6,410,461 19,231,384 9,615,692 4,807,846 2,403,923 7,211,770 3,605,885 10,817,656 5,408,828 2,704,414 1,352,207 4,056,622 2,028,311 6,084,934 3,042,467 9,127,402 4,563,701 13,691,104 6,845,552 3,422,776 1,711,388 855,694 427,847 1,283,542 641,771 1,925,314 962,657 2,887,972 1,443,986 721,993 2,165,980 1,082,990 541,495 1,624,486 812,243 2,436,730 1,218,365

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