λ
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Atlas › Integer Profiles › Node 36,925,174

36,925,174

2 × 11 × 13 × 41 × 47 × 67
Deficient Even Composite

36,925,174 factors as 2 × 11 × 13 × 41 × 47 × 67. Its 64 positive divisors give a proper-divisor sum of 32,167,178, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 41 × 47 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 69,092,352
Proper Divisor Sum 32,167,178
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36925171 ← → #36925193

Radix Representation

Decimal 36925174
Binary 10001100110110111011110110 (26 bits)
Octal 0o214667366
Hexadecimal 0x2336EF6

Divisor Catalog (60 of 64)

1 2 11 13 22 26 41 47 67 82 94 134 143 286 451 517 533 611 737 871 902 1,034 1,066 1,222 1,474 1,742 1,927 2,747 3,149 3,854 5,494 5,863 6,298 6,721 9,581 11,726 13,442 19,162 21,197 25,051 30,217 34,639 35,711 40,937 42,394 50,102 60,434 69,278 71,422 81,874 129,109 258,218 275,561 392,821 450,307 551,122 785,642 900,614 1,420,199 1,678,417

Collatz Trajectory (214 steps to reach 1)

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

36,925,174 18,462,587 55,387,762 27,693,881 83,081,644 41,540,822 20,770,411 62,311,234 31,155,617 93,466,852 46,733,426 23,366,713 70,100,140 35,050,070 17,525,035 52,575,106 26,287,553 78,862,660 39,431,330 19,715,665 59,146,996 29,573,498 14,786,749 44,360,248 22,180,124 11,090,062 5,545,031 16,635,094 8,317,547 24,952,642 12,476,321 37,428,964 18,714,482 9,357,241 28,071,724 14,035,862 7,017,931 21,053,794 10,526,897 31,580,692 15,790,346 7,895,173 23,685,520 11,842,760 5,921,380 2,960,690 1,480,345 4,441,036 2,220,518 1,110,259 3,330,778 1,665,389 4,996,168 2,498,084 1,249,042 624,521 1,873,564 936,782 468,391 1,405,174

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