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Atlas › Integer Profiles › Node 32,596,886

32,596,886

2 × 7 × 41 × 109 × 521
Deficient Even Composite

32,596,886 factors as 2 × 7 × 41 × 109 × 521. Its 32 positive divisors give a proper-divisor sum of 25,282,474, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 109 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,879,360
Proper Divisor Sum 25,282,474
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #32596877 ← → #32596979

Radix Representation

Decimal 32596886
Binary 1111100010110001110010110 (25 bits)
Octal 0o174261626
Hexadecimal 0x1F16396

Divisor Catalog (32)

1 2 7 14 41 82 109 218 287 521 574 763 1,042 1,526 3,647 4,469 7,294 8,938 21,361 31,283 42,722 56,789 62,566 113,578 149,527 299,054 397,523 795,046 2,328,349 4,656,698 16,298,443 32,596,886

Collatz Trajectory (113 steps to reach 1)

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

32,596,886 16,298,443 48,895,330 24,447,665 73,342,996 36,671,498 18,335,749 55,007,248 27,503,624 13,751,812 6,875,906 3,437,953 10,313,860 5,156,930 2,578,465 7,735,396 3,867,698 1,933,849 5,801,548 2,900,774 1,450,387 4,351,162 2,175,581 6,526,744 3,263,372 1,631,686 815,843 2,447,530 1,223,765 3,671,296 1,835,648 917,824 458,912 229,456 114,728 57,364 28,682 14,341 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750

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