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Atlas › Integer Profiles › Node 40,650,982

40,650,982

2 × 23 × 29 × 31 × 983
Deficient Even Composite

40,650,982 factors as 2 × 23 × 29 × 31 × 983. Its 32 positive divisors give a proper-divisor sum of 27,363,098, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2 × 23 × 29 × 31 × 983
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,014,080
Proper Divisor Sum 27,363,098
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40650931 ← → #40650989

Radix Representation

Decimal 40650982
Binary 10011011000100100011100110 (26 bits)
Octal 0o233044346
Hexadecimal 0x26C48E6

Divisor Catalog (32)

1 2 23 29 31 46 58 62 667 713 899 983 1,334 1,426 1,798 1,966 20,677 22,609 28,507 30,473 41,354 45,218 57,014 60,946 655,661 700,879 883,717 1,311,322 1,401,758 1,767,434 20,325,491 40,650,982

Collatz Trajectory (284 steps to reach 1)

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

40,650,982 20,325,491 60,976,474 30,488,237 91,464,712 45,732,356 22,866,178 11,433,089 34,299,268 17,149,634 8,574,817 25,724,452 12,862,226 6,431,113 19,293,340 9,646,670 4,823,335 14,470,006 7,235,003 21,705,010 10,852,505 32,557,516 16,278,758 8,139,379 24,418,138 12,209,069 36,627,208 18,313,604 9,156,802 4,578,401 13,735,204 6,867,602 3,433,801 10,301,404 5,150,702 2,575,351 7,726,054 3,863,027 11,589,082 5,794,541 17,383,624 8,691,812 4,345,906 2,172,953 6,518,860 3,259,430 1,629,715 4,889,146 2,444,573 7,333,720 3,666,860 1,833,430 916,715 2,750,146 1,375,073 4,125,220 2,062,610 1,031,305 3,093,916 1,546,958

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