λ
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Atlas › Integer Profiles › Node 36,929,529

36,929,529

32 × 7 × 13 × 67 × 673
Deficient Odd Composite

36,929,529 factors as 3^2 × 7 × 13 × 67 × 673. Its 48 positive divisors give a proper-divisor sum of 29,801,863, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 67 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 66,731,392
Proper Divisor Sum 29,801,863
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36929449 ← → #36929531

Radix Representation

Decimal 36929529
Binary 10001100110111111111111001 (26 bits)
Octal 0o214677771
Hexadecimal 0x2337FF9

Divisor Catalog (48)

1 3 7 9 13 21 39 63 67 91 117 201 273 469 603 673 819 871 1,407 2,019 2,613 4,221 4,711 6,057 6,097 7,839 8,749 14,133 18,291 26,247 42,399 45,091 54,873 61,243 78,741 135,273 183,729 315,637 405,819 551,187 586,183 946,911 1,758,549 2,840,733 4,103,281 5,275,647 12,309,843 36,929,529

Collatz Trajectory (165 steps to reach 1)

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

36,929,529 110,788,588 55,394,294 27,697,147 83,091,442 41,545,721 124,637,164 62,318,582 31,159,291 93,477,874 46,738,937 140,216,812 70,108,406 35,054,203 105,162,610 52,581,305 157,743,916 78,871,958 39,435,979 118,307,938 59,153,969 177,461,908 88,730,954 44,365,477 133,096,432 66,548,216 33,274,108 16,637,054 8,318,527 24,955,582 12,477,791 37,433,374 18,716,687 56,150,062 28,075,031 84,225,094 42,112,547 126,337,642 63,168,821 189,506,464 94,753,232 47,376,616 23,688,308 11,844,154 5,922,077 17,766,232 8,883,116 4,441,558 2,220,779 6,662,338 3,331,169 9,993,508 4,996,754 2,498,377 7,495,132 3,747,566 1,873,783 5,621,350 2,810,675 8,432,026

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