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Atlas › Integer Profiles › Node 36,917,188

36,917,188

22 × 72 × 11 × 17123
Abundant Even Composite

36,917,188 factors as 2^2 × 7^2 × 11 × 17123. Its 36 positive divisors give a proper-divisor sum of 45,072,524, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11 × 17123
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 81,989,712
Proper Divisor Sum 45,072,524
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36917161 ← → #36917189

Radix Representation

Decimal 36917188
Binary 10001100110100111111000100 (26 bits)
Octal 0o214647704
Hexadecimal 0x2334FC4

Divisor Catalog (36)

1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1,078 2,156 17,123 34,246 68,492 119,861 188,353 239,722 376,706 479,444 753,412 839,027 1,318,471 1,678,054 2,636,942 3,356,108 5,273,884 9,229,297 18,458,594 36,917,188

Collatz Trajectory (214 steps to reach 1)

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

36,917,188 18,458,594 9,229,297 27,687,892 13,843,946 6,921,973 20,765,920 10,382,960 5,191,480 2,595,740 1,297,870 648,935 1,946,806 973,403 2,920,210 1,460,105 4,380,316 2,190,158 1,095,079 3,285,238 1,642,619 4,927,858 2,463,929 7,391,788 3,695,894 1,847,947 5,543,842 2,771,921 8,315,764 4,157,882 2,078,941 6,236,824 3,118,412 1,559,206 779,603 2,338,810 1,169,405 3,508,216 1,754,108 877,054 438,527 1,315,582 657,791 1,973,374 986,687 2,960,062 1,480,031 4,440,094 2,220,047 6,660,142 3,330,071 9,990,214 4,995,107 14,985,322 7,492,661 22,477,984 11,238,992 5,619,496 2,809,748 1,404,874

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