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3,979,665

33 × 5 × 41 × 719
Deficient Odd Composite

3,979,665 factors as 3^3 × 5 × 41 × 719. Its 32 positive divisors give a proper-divisor sum of 3,277,935, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 41 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 3,277,935
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3979663 ← → #3979669

Radix Representation

Decimal 3979665
Binary 1111001011100110010001 (22 bits)
Octal 0o17134621
Hexadecimal 0x3CB991

Divisor Catalog (32)

1 3 5 9 15 27 41 45 123 135 205 369 615 719 1,107 1,845 2,157 3,595 5,535 6,471 10,785 19,413 29,479 32,355 88,437 97,065 147,395 265,311 442,185 795,933 1,326,555 3,979,665

Collatz Trajectory (66 steps to reach 1)

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

3,979,665 11,938,996 5,969,498 2,984,749 8,954,248 4,477,124 2,238,562 1,119,281 3,357,844 1,678,922 839,461 2,518,384 1,259,192 629,596 314,798 157,399 472,198 236,099 708,298 354,149 1,062,448 531,224 265,612 132,806 66,403 199,210 99,605 298,816 149,408 74,704 37,352 18,676 9,338 4,669 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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