λ
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Atlas › Integer Profiles › Node 36,959,175

36,959,175

32 × 52 × 11 × 109 × 137
Deficient Odd Composite

36,959,175 factors as 3^2 × 5^2 × 11 × 109 × 137. Its 72 positive divisors give a proper-divisor sum of 36,451,305, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 109 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 73,410,480
Proper Divisor Sum 36,451,305
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36959171 ← → #36959177

Radix Representation

Decimal 36959175
Binary 10001100111111001111000111 (26 bits)
Octal 0o214771707
Hexadecimal 0x233F3C7

Divisor Catalog (60 of 72)

1 3 5 9 11 15 25 33 45 55 75 99 109 137 165 225 275 327 411 495 545 685 825 981 1,199 1,233 1,507 1,635 2,055 2,475 2,725 3,425 3,597 4,521 4,905 5,995 6,165 7,535 8,175 10,275 10,791 13,563 14,933 17,985 22,605 24,525 29,975 30,825 37,675 44,799 53,955 67,815 74,665 89,925 113,025 134,397 164,263 223,995 269,775 339,075

Collatz Trajectory (227 steps to reach 1)

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

36,959,175 110,877,526 55,438,763 166,316,290 83,158,145 249,474,436 124,737,218 62,368,609 187,105,828 93,552,914 46,776,457 140,329,372 70,164,686 35,082,343 105,247,030 52,623,515 157,870,546 78,935,273 236,805,820 118,402,910 59,201,455 177,604,366 88,802,183 266,406,550 133,203,275 399,609,826 199,804,913 599,414,740 299,707,370 149,853,685 449,561,056 224,780,528 112,390,264 56,195,132 28,097,566 14,048,783 42,146,350 21,073,175 63,219,526 31,609,763 94,829,290 47,414,645 142,243,936 71,121,968 35,560,984 17,780,492 8,890,246 4,445,123 13,335,370 6,667,685 20,003,056 10,001,528 5,000,764 2,500,382 1,250,191 3,750,574 1,875,287 5,625,862 2,812,931 8,438,794

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