41,002,375

5³ × 29 × 11311

41,002,375 factors as 5^3 × 29 × 11311. Its 16 positive divisors give a proper-divisor sum of 11,937,785, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 5^3 × 29 × 11311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 52,940,160

Proper Divisor Sum 11,937,785

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #41002369 ← → #41002387

Radix Representation

Decimal	41002375
Binary	10011100011010010110000111 (26 bits)
Octal	0o234322607
Hexadecimal	0x271A587

Divisor Catalog (16)

1 5 25 29 125 145 725 3,625 11,311 56,555 282,775 328,019 1,413,875 1,640,095 8,200,475 41,002,375

Collatz Trajectory (77 steps to reach 1)

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

41,002,375 123,007,126 61,503,563 184,510,690 92,255,345 276,766,036 138,383,018 69,191,509 207,574,528 103,787,264 51,893,632 25,946,816 12,973,408 6,486,704 3,243,352 1,621,676 810,838 405,419 1,216,258 608,129 1,824,388 912,194 456,097 1,368,292 684,146 342,073 1,026,220 513,110 256,555 769,666 384,833 1,154,500 577,250 288,625 865,876 432,938 216,469 649,408 324,704 162,352 81,176 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205

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