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3,926,745

33 × 5 × 17 × 29 × 59
Deficient Odd Composite

3,926,745 factors as 3^3 × 5 × 17 × 29 × 59. Its 64 positive divisors give a proper-divisor sum of 3,849,255, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 17 × 29 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,776,000
Proper Divisor Sum 3,849,255
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3926737 ← → #3926759

Radix Representation

Decimal 3926745
Binary 1110111110101011011001 (22 bits)
Octal 0o16765331
Hexadecimal 0x3BEAD9

Divisor Catalog (60 of 64)

1 3 5 9 15 17 27 29 45 51 59 85 87 135 145 153 177 255 261 295 435 459 493 531 765 783 885 1,003 1,305 1,479 1,593 1,711 2,295 2,465 2,655 3,009 3,915 4,437 5,015 5,133 7,395 7,965 8,555 9,027 13,311 15,045 15,399 22,185 25,665 27,081 29,087 45,135 46,197 66,555 76,995 87,261 135,405 145,435 230,985 261,783

Collatz Trajectory (66 steps to reach 1)

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

3,926,745 11,780,236 5,890,118 2,945,059 8,835,178 4,417,589 13,252,768 6,626,384 3,313,192 1,656,596 828,298 414,149 1,242,448 621,224 310,612 155,306 77,653 232,960 116,480 58,240 29,120 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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