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Atlas › Integer Profiles › Node 32,130,684

32,130,684

22 × 32 × 139 × 6421
Abundant Even Composite

32,130,684 factors as 2^2 × 3^2 × 139 × 6421. Its 36 positive divisors give a proper-divisor sum of 49,685,596, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 139 × 6421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 81,816,280
Proper Divisor Sum 49,685,596
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32130671 ← → #32130727

Radix Representation

Decimal 32130684
Binary 1111010100100011001111100 (25 bits)
Octal 0o172443174
Hexadecimal 0x1EA467C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 139 278 417 556 834 1,251 1,668 2,502 5,004 6,421 12,842 19,263 25,684 38,526 57,789 77,052 115,578 231,156 892,519 1,785,038 2,677,557 3,570,076 5,355,114 8,032,671 10,710,228 16,065,342 32,130,684

Collatz Trajectory (232 steps to reach 1)

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

32,130,684 16,065,342 8,032,671 24,098,014 12,049,007 36,147,022 18,073,511 54,220,534 27,110,267 81,330,802 40,665,401 121,996,204 60,998,102 30,499,051 91,497,154 45,748,577 137,245,732 68,622,866 34,311,433 102,934,300 51,467,150 25,733,575 77,200,726 38,600,363 115,801,090 57,900,545 173,701,636 86,850,818 43,425,409 130,276,228 65,138,114 32,569,057 97,707,172 48,853,586 24,426,793 73,280,380 36,640,190 18,320,095 54,960,286 27,480,143 82,440,430 41,220,215 123,660,646 61,830,323 185,490,970 92,745,485 278,236,456 139,118,228 69,559,114 34,779,557 104,338,672 52,169,336 26,084,668 13,042,334 6,521,167 19,563,502 9,781,751 29,345,254 14,672,627 44,017,882

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