λ
Ratio Atlas

38,005,503

3 × 509 × 24889
Deficient Odd Composite

38,005,503 factors as 3 × 509 × 24889. Its 8 positive divisors give a proper-divisor sum of 12,770,097, so this integer is deficient. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 3 × 509 × 24889
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 50,775,600
Proper Divisor Sum 12,770,097
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #38005493 ← → #38005511

Radix Representation

Decimal 38005503
Binary 10010000111110101011111111 (26 bits)
Octal 0o220765377
Hexadecimal 0x243EAFF

Divisor Catalog (8)

Collatz Trajectory (302 steps to reach 1)

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

38,005,503 114,016,510 57,008,255 171,024,766 85,512,383 256,537,150 128,268,575 384,805,726 192,402,863 577,208,590 288,604,295 865,812,886 432,906,443 1,298,719,330 649,359,665 1,948,078,996 974,039,498 487,019,749 1,461,059,248 730,529,624 365,264,812 182,632,406 91,316,203 273,948,610 136,974,305 410,922,916 205,461,458 102,730,729 308,192,188 154,096,094 77,048,047 231,144,142 115,572,071 346,716,214 173,358,107 520,074,322 260,037,161 780,111,484 390,055,742 195,027,871 585,083,614 292,541,807 877,625,422 438,812,711 1,316,438,134 658,219,067 1,974,657,202 987,328,601 2,961,985,804 1,480,992,902 740,496,451 2,221,489,354 1,110,744,677 3,332,234,032 1,666,117,016 833,058,508 416,529,254 208,264,627 624,793,882 312,396,941

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