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Atlas › Integer Profiles › Node 32,076,088

32,076,088

23 × 11 × 29 × 12569
Abundant Even Composite

32,076,088 factors as 2^3 × 11 × 29 × 12569. Its 32 positive divisors give a proper-divisor sum of 35,801,912, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 29 × 12569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,878,000
Proper Divisor Sum 35,801,912
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #32076073 ← → #32076089

Radix Representation

Decimal 32076088
Binary 1111010010111000100111000 (25 bits)
Octal 0o172270470
Hexadecimal 0x1E97138

Divisor Catalog (32)

1 2 4 8 11 22 29 44 58 88 116 232 319 638 1,276 2,552 12,569 25,138 50,276 100,552 138,259 276,518 364,501 553,036 729,002 1,106,072 1,458,004 2,916,008 4,009,511 8,019,022 16,038,044 32,076,088

Collatz Trajectory (64 steps to reach 1)

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

32,076,088 16,038,044 8,019,022 4,009,511 12,028,534 6,014,267 18,042,802 9,021,401 27,064,204 13,532,102 6,766,051 20,298,154 10,149,077 30,447,232 15,223,616 7,611,808 3,805,904 1,902,952 951,476 475,738 237,869 713,608 356,804 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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