λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,115,255

32,115,255

3 × 5 × 73 × 139 × 211
Deficient Odd Composite

32,115,255 factors as 3 × 5 × 73 × 139 × 211. Its 32 positive divisors give a proper-divisor sum of 20,596,425, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 3 × 5 × 73 × 139 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 52,711,680
Proper Divisor Sum 20,596,425
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #32115253 ← → #32115257

Radix Representation

Decimal 32115255
Binary 1111010100000101000110111 (25 bits)
Octal 0o172405067
Hexadecimal 0x1EA0A37

Divisor Catalog (32)

1 3 5 15 73 139 211 219 365 417 633 695 1,055 1,095 2,085 3,165 10,147 15,403 29,329 30,441 46,209 50,735 77,015 87,987 146,645 152,205 231,045 439,935 2,141,017 6,423,051 10,705,085 32,115,255

Collatz Trajectory (281 steps to reach 1)

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

32,115,255 96,345,766 48,172,883 144,518,650 72,259,325 216,777,976 108,388,988 54,194,494 27,097,247 81,291,742 40,645,871 121,937,614 60,968,807 182,906,422 91,453,211 274,359,634 137,179,817 411,539,452 205,769,726 102,884,863 308,654,590 154,327,295 462,981,886 231,490,943 694,472,830 347,236,415 1,041,709,246 520,854,623 1,562,563,870 781,281,935 2,343,845,806 1,171,922,903 3,515,768,710 1,757,884,355 5,273,653,066 2,636,826,533 7,910,479,600 3,955,239,800 1,977,619,900 988,809,950 494,404,975 1,483,214,926 741,607,463 2,224,822,390 1,112,411,195 3,337,233,586 1,668,616,793 5,005,850,380 2,502,925,190 1,251,462,595 3,754,387,786 1,877,193,893 5,631,581,680 2,815,790,840 1,407,895,420 703,947,710 351,973,855 1,055,921,566 527,960,783 1,583,882,350

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