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Atlas › Integer Profiles › Node 40,666,916

40,666,916

22 × 19 × 31 × 41 × 421
Deficient Even Composite

40,666,916 factors as 2^2 × 19 × 31 × 41 × 421. Its 48 positive divisors give a proper-divisor sum of 38,736,604, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 31 × 41 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,403,520
Proper Divisor Sum 38,736,604
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #40666889 ← → #40666933

Radix Representation

Decimal 40666916
Binary 10011011001000011100100100 (26 bits)
Octal 0o233103444
Hexadecimal 0x26C8724

Divisor Catalog (48)

1 2 4 19 31 38 41 62 76 82 124 164 421 589 779 842 1,178 1,271 1,558 1,684 2,356 2,542 3,116 5,084 7,999 13,051 15,998 17,261 24,149 26,102 31,996 34,522 48,298 52,204 69,044 96,596 247,969 327,959 495,938 535,091 655,918 991,876 1,070,182 1,311,836 2,140,364 10,166,729 20,333,458 40,666,916

Collatz Trajectory (160 steps to reach 1)

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

40,666,916 20,333,458 10,166,729 30,500,188 15,250,094 7,625,047 22,875,142 11,437,571 34,312,714 17,156,357 51,469,072 25,734,536 12,867,268 6,433,634 3,216,817 9,650,452 4,825,226 2,412,613 7,237,840 3,618,920 1,809,460 904,730 452,365 1,357,096 678,548 339,274 169,637 508,912 254,456 127,228 63,614 31,807 95,422 47,711 143,134 71,567 214,702 107,351 322,054 161,027 483,082 241,541 724,624 362,312 181,156 90,578 45,289 135,868 67,934 33,967 101,902 50,951 152,854 76,427 229,282 114,641 343,924 171,962 85,981 257,944

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