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Atlas › Integer Profiles › Node 36,936,945

36,936,945

33 × 5 × 419 × 653
Deficient Odd Composite

36,936,945 factors as 3^3 × 5 × 419 × 653. Its 32 positive divisors give a proper-divisor sum of 28,986,255, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 419 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,923,200
Proper Divisor Sum 28,986,255
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36936943 ← → #36936947

Radix Representation

Decimal 36936945
Binary 10001100111001110011110001 (26 bits)
Octal 0o214716361
Hexadecimal 0x2339CF1

Divisor Catalog (32)

1 3 5 9 15 27 45 135 419 653 1,257 1,959 2,095 3,265 3,771 5,877 6,285 9,795 11,313 17,631 18,855 29,385 56,565 88,155 273,607 820,821 1,368,035 2,462,463 4,104,105 7,387,389 12,312,315 36,936,945

Collatz Trajectory (108 steps to reach 1)

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

36,936,945 110,810,836 55,405,418 27,702,709 83,108,128 41,554,064 20,777,032 10,388,516 5,194,258 2,597,129 7,791,388 3,895,694 1,947,847 5,843,542 2,921,771 8,765,314 4,382,657 13,147,972 6,573,986 3,286,993 9,860,980 4,930,490 2,465,245 7,395,736 3,697,868 1,848,934 924,467 2,773,402 1,386,701 4,160,104 2,080,052 1,040,026 520,013 1,560,040 780,020 390,010 195,005 585,016 292,508 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046

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