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Atlas › Integer Profiles › Node 32,920,432

32,920,432

24 × 17 × 127 × 953
Abundant Even Composite

32,920,432 factors as 2^4 × 17 × 127 × 953. Its 40 positive divisors give a proper-divisor sum of 35,218,064, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 127 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 68,138,496
Proper Divisor Sum 35,218,064
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #32920409 ← → #32920439

Radix Representation

Decimal 32920432
Binary 1111101100101001101110000 (25 bits)
Octal 0o175451560
Hexadecimal 0x1F65370

Divisor Catalog (40)

1 2 4 8 16 17 34 68 127 136 254 272 508 953 1,016 1,906 2,032 2,159 3,812 4,318 7,624 8,636 15,248 16,201 17,272 32,402 34,544 64,804 121,031 129,608 242,062 259,216 484,124 968,248 1,936,496 2,057,527 4,115,054 8,230,108 16,460,216 32,920,432

Collatz Trajectory (263 steps to reach 1)

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

32,920,432 16,460,216 8,230,108 4,115,054 2,057,527 6,172,582 3,086,291 9,258,874 4,629,437 13,888,312 6,944,156 3,472,078 1,736,039 5,208,118 2,604,059 7,812,178 3,906,089 11,718,268 5,859,134 2,929,567 8,788,702 4,394,351 13,183,054 6,591,527 19,774,582 9,887,291 29,661,874 14,830,937 44,492,812 22,246,406 11,123,203 33,369,610 16,684,805 50,054,416 25,027,208 12,513,604 6,256,802 3,128,401 9,385,204 4,692,602 2,346,301 7,038,904 3,519,452 1,759,726 879,863 2,639,590 1,319,795 3,959,386 1,979,693 5,939,080 2,969,540 1,484,770 742,385 2,227,156 1,113,578 556,789 1,670,368 835,184 417,592 208,796

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