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Atlas › Integer Profiles › Node 40,917,844

40,917,844

22 × 112 × 17 × 4973
Abundant Even Composite

40,917,844 factors as 2^2 × 11^2 × 17 × 4973. Its 36 positive divisors give a proper-divisor sum of 42,436,448, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 17 × 4973
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 83,354,292
Proper Divisor Sum 42,436,448
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #40917809 ← → #40917913

Radix Representation

Decimal 40917844
Binary 10011100000101101101010100 (26 bits)
Octal 0o234055524
Hexadecimal 0x2705B54

Divisor Catalog (36)

1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2,057 4,114 4,973 8,228 9,946 19,892 54,703 84,541 109,406 169,082 218,812 338,164 601,733 929,951 1,203,466 1,859,902 2,406,932 3,719,804 10,229,461 20,458,922 40,917,844

Collatz Trajectory (253 steps to reach 1)

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

40,917,844 20,458,922 10,229,461 30,688,384 15,344,192 7,672,096 3,836,048 1,918,024 959,012 479,506 239,753 719,260 359,630 179,815 539,446 269,723 809,170 404,585 1,213,756 606,878 303,439 910,318 455,159 1,365,478 682,739 2,048,218 1,024,109 3,072,328 1,536,164 768,082 384,041 1,152,124 576,062 288,031 864,094 432,047 1,296,142 648,071 1,944,214 972,107 2,916,322 1,458,161 4,374,484 2,187,242 1,093,621 3,280,864 1,640,432 820,216 410,108 205,054 102,527 307,582 153,791 461,374 230,687 692,062 346,031 1,038,094 519,047 1,557,142

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