λ
Ratio Atlas

40,475,263

19 × 683 × 3119
Deficient Odd Composite

40,475,263 factors as 19 × 683 × 3119. Its 8 positive divisors give a proper-divisor sum of 2,206,337, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 19 × 683 × 3119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 42,681,600
Proper Divisor Sum 2,206,337
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40475261 ← → #40475273

Radix Representation

Decimal 40475263
Binary 10011010011001101001111111 (26 bits)
Octal 0o232315177
Hexadecimal 0x2699A7F

Divisor Catalog (8)

Collatz Trajectory (209 steps to reach 1)

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

40,475,263 121,425,790 60,712,895 182,138,686 91,069,343 273,208,030 136,604,015 409,812,046 204,906,023 614,718,070 307,359,035 922,077,106 461,038,553 1,383,115,660 691,557,830 345,778,915 1,037,336,746 518,668,373 1,556,005,120 778,002,560 389,001,280 194,500,640 97,250,320 48,625,160 24,312,580 12,156,290 6,078,145 18,234,436 9,117,218 4,558,609 13,675,828 6,837,914 3,418,957 10,256,872 5,128,436 2,564,218 1,282,109 3,846,328 1,923,164 961,582 480,791 1,442,374 721,187 2,163,562 1,081,781 3,245,344 1,622,672 811,336 405,668 202,834 101,417 304,252 152,126 76,063 228,190 114,095 342,286 171,143 513,430 256,715

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