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Atlas › Integer Profiles › Node 36,925,175

36,925,175

52 × 72 × 43 × 701
Deficient Odd Composite

36,925,175 factors as 5^2 × 7^2 × 43 × 701. Its 36 positive divisors give a proper-divisor sum of 17,653,921, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 43 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 54,579,096
Proper Divisor Sum 17,653,921
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #36925171 ← → #36925193

Radix Representation

Decimal 36925175
Binary 10001100110110111011110111 (26 bits)
Octal 0o214667367
Hexadecimal 0x2336EF7

Divisor Catalog (36)

1 5 7 25 35 43 49 175 215 245 301 701 1,075 1,225 1,505 2,107 3,505 4,907 7,525 10,535 17,525 24,535 30,143 34,349 52,675 122,675 150,715 171,745 211,001 753,575 858,725 1,055,005 1,477,007 5,275,025 7,385,035 36,925,175

Collatz Trajectory (214 steps to reach 1)

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

36,925,175 110,775,526 55,387,763 166,163,290 83,081,645 249,244,936 124,622,468 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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