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Atlas › Integer Profiles › Node 40,916,628

40,916,628

22 × 32 × 79 × 14387
Abundant Even Composite

40,916,628 factors as 2^2 × 3^2 × 79 × 14387. Its 36 positive divisors give a proper-divisor sum of 63,828,012, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 79 × 14387
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 104,744,640
Proper Divisor Sum 63,828,012
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #40916611 ← → #40916639

Radix Representation

Decimal 40916628
Binary 10011100000101011010010100 (26 bits)
Octal 0o234053224
Hexadecimal 0x2705694

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1,422 2,844 14,387 28,774 43,161 57,548 86,322 129,483 172,644 258,966 517,932 1,136,573 2,273,146 3,409,719 4,546,292 6,819,438 10,229,157 13,638,876 20,458,314 40,916,628

Collatz Trajectory (222 steps to reach 1)

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

40,916,628 20,458,314 10,229,157 30,687,472 15,343,736 7,671,868 3,835,934 1,917,967 5,753,902 2,876,951 8,630,854 4,315,427 12,946,282 6,473,141 19,419,424 9,709,712 4,854,856 2,427,428 1,213,714 606,857 1,820,572 910,286 455,143 1,365,430 682,715 2,048,146 1,024,073 3,072,220 1,536,110 768,055 2,304,166 1,152,083 3,456,250 1,728,125 5,184,376 2,592,188 1,296,094 648,047 1,944,142 972,071 2,916,214 1,458,107 4,374,322 2,187,161 6,561,484 3,280,742 1,640,371 4,921,114 2,460,557 7,381,672 3,690,836 1,845,418 922,709 2,768,128 1,384,064 692,032 346,016 173,008 86,504 43,252

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