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Atlas › Integer Profiles › Node 36,918,805

36,918,805

5 × 73 × 11 × 19 × 103
Deficient Odd Composite

36,918,805 factors as 5 × 7^3 × 11 × 19 × 103. Its 64 positive divisors give a proper-divisor sum of 22,985,195, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 5 × 7^3 × 11 × 19 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 59,904,000
Proper Divisor Sum 22,985,195
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36918803 ← → #36918839

Radix Representation

Decimal 36918805
Binary 10001100110101011000010101 (26 bits)
Octal 0o214653025
Hexadecimal 0x2335615

Divisor Catalog (60 of 64)

1 5 7 11 19 35 49 55 77 95 103 133 209 245 343 385 515 539 665 721 931 1,045 1,133 1,463 1,715 1,957 2,695 3,605 3,773 4,655 5,047 5,665 6,517 7,315 7,931 9,785 10,241 13,699 18,865 21,527 25,235 32,585 35,329 39,655 51,205 55,517 68,495 71,687 95,893 107,635 150,689 176,645 277,585 358,435 388,619 479,465 671,251 753,445 1,054,823 1,943,095

Collatz Trajectory (183 steps to reach 1)

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

36,918,805 110,756,416 55,378,208 27,689,104 13,844,552 6,922,276 3,461,138 1,730,569 5,191,708 2,595,854 1,297,927 3,893,782 1,946,891 5,840,674 2,920,337 8,761,012 4,380,506 2,190,253 6,570,760 3,285,380 1,642,690 821,345 2,464,036 1,232,018 616,009 1,848,028 924,014 462,007 1,386,022 693,011 2,079,034 1,039,517 3,118,552 1,559,276 779,638 389,819 1,169,458 584,729 1,754,188 877,094 438,547 1,315,642 657,821 1,973,464 986,732 493,366 246,683 740,050 370,025 1,110,076 555,038 277,519 832,558 416,279 1,248,838 624,419 1,873,258 936,629 2,809,888 1,404,944

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