404,439

3 × 7 × 19259

404,439 is odd and not a perfect square. Its factorization is 3 × 7 × 19259 and its 8 divisors sum to 616,320.

Prime Factor Structure

Factorization String 3 × 7 × 19259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 616,320

Proper Divisor Sum 211,881

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #404431 ← → #404449

Radix Representation

Decimal	404439
Binary	1100010101111010111 (19 bits)
Octal	0o1425727
Hexadecimal	0x62BD7

Divisor Catalog (8)

1 3 7 21 19,259 57,777 134,813 404,439

Collatz Trajectory (205 steps to reach 1)

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

404,439 1,213,318 606,659 1,819,978 909,989 2,729,968 1,364,984 682,492 341,246 170,623 511,870 255,935 767,806 383,903 1,151,710 575,855 1,727,566 863,783 2,591,350 1,295,675 3,887,026 1,943,513 5,830,540 2,915,270 1,457,635 4,372,906 2,186,453 6,559,360 3,279,680 1,639,840 819,920 409,960 204,980 102,490 51,245 153,736 76,868 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567

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