4,041,729

3² × 239 × 1879

4,041,729 is odd and not a perfect square. Its factorization is 3^2 × 239 × 1879 and its 12 divisors sum to 5,865,600.

Prime Factor Structure

Factorization String 3^2 × 239 × 1879

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,865,600

Proper Divisor Sum 1,823,871

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4041691 ← → #4041731

Radix Representation

Decimal	4041729
Binary	1111011010110000000001 (22 bits)
Octal	0o17326001
Hexadecimal	0x3DAC01

Divisor Catalog (12)

1 3 9 239 717 1,879 2,151 5,637 16,911 449,081 1,347,243 4,041,729

Collatz Trajectory (84 steps to reach 1)

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

4,041,729 12,125,188 6,062,594 3,031,297 9,093,892 4,546,946 2,273,473 6,820,420 3,410,210 1,705,105 5,115,316 2,557,658 1,278,829 3,836,488 1,918,244 959,122 479,561 1,438,684 719,342 359,671 1,079,014 539,507 1,618,522 809,261 2,427,784 1,213,892 606,946 303,473 910,420 455,210 227,605 682,816 341,408 170,704 85,352 42,676 21,338 10,669 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713

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