λ
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Atlas › Integer Profiles › Node 32,477,710

32,477,710

2 × 5 × 107 × 127 × 239
Deficient Even Composite

32,477,710 factors as 2 × 5 × 107 × 127 × 239. Its 32 positive divisors give a proper-divisor sum of 27,241,970, so this integer is deficient. The Collatz stopping time is 294 steps.

Prime Factor Structure

Factorization String 2 × 5 × 107 × 127 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,719,680
Proper Divisor Sum 27,241,970
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #32477689 ← → #32477713

Radix Representation

Decimal 32477710
Binary 1111011111001001000001110 (25 bits)
Octal 0o173711016
Hexadecimal 0x1EF920E

Divisor Catalog (32)

1 2 5 10 107 127 214 239 254 478 535 635 1,070 1,195 1,270 2,390 13,589 25,573 27,178 30,353 51,146 60,706 67,945 127,865 135,890 151,765 255,730 303,530 3,247,771 6,495,542 16,238,855 32,477,710

Collatz Trajectory (294 steps to reach 1)

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

32,477,710 16,238,855 48,716,566 24,358,283 73,074,850 36,537,425 109,612,276 54,806,138 27,403,069 82,209,208 41,104,604 20,552,302 10,276,151 30,828,454 15,414,227 46,242,682 23,121,341 69,364,024 34,682,012 17,341,006 8,670,503 26,011,510 13,005,755 39,017,266 19,508,633 58,525,900 29,262,950 14,631,475 43,894,426 21,947,213 65,841,640 32,920,820 16,460,410 8,230,205 24,690,616 12,345,308 6,172,654 3,086,327 9,258,982 4,629,491 13,888,474 6,944,237 20,832,712 10,416,356 5,208,178 2,604,089 7,812,268 3,906,134 1,953,067 5,859,202 2,929,601 8,788,804 4,394,402 2,197,201 6,591,604 3,295,802 1,647,901 4,943,704 2,471,852 1,235,926

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