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Atlas › Integer Profiles › Node 40,945,265

40,945,265

5 × 17 × 31 × 41 × 379
Deficient Odd Composite

40,945,265 factors as 5 × 17 × 31 × 41 × 379. Its 32 positive divisors give a proper-divisor sum of 14,212,495, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 5 × 17 × 31 × 41 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,157,760
Proper Divisor Sum 14,212,495
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #40945259 ← → #40945279

Radix Representation

Decimal 40945265
Binary 10011100001100011001110001 (26 bits)
Octal 0o234143161
Hexadecimal 0x270C671

Divisor Catalog (32)

1 5 17 31 41 85 155 205 379 527 697 1,271 1,895 2,635 3,485 6,355 6,443 11,749 15,539 21,607 32,215 58,745 77,695 108,035 199,733 264,163 481,709 998,665 1,320,815 2,408,545 8,189,053 40,945,265

Collatz Trajectory (116 steps to reach 1)

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

40,945,265 122,835,796 61,417,898 30,708,949 92,126,848 46,063,424 23,031,712 11,515,856 5,757,928 2,878,964 1,439,482 719,741 2,159,224 1,079,612 539,806 269,903 809,710 404,855 1,214,566 607,283 1,821,850 910,925 2,732,776 1,366,388 683,194 341,597 1,024,792 512,396 256,198 128,099 384,298 192,149 576,448 288,224 144,112 72,056 36,028 18,014 9,007 27,022 13,511 40,534 20,267 60,802 30,401 91,204 45,602 22,801 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216

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