439,425

3⁴ × 5² × 7 × 31

439,425 is odd and not a perfect square. Its factorization is 3^4 × 5^2 × 7 × 31 and its 60 divisors sum to 960,256.

Prime Factor Structure

Factorization String 3^4 × 5^2 × 7 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 960,256

Proper Divisor Sum 520,831

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #439421 ← → #439427

Radix Representation

Decimal	439425
Binary	1101011010010000001 (19 bits)
Octal	0o1532201
Hexadecimal	0x6B481

Divisor Catalog (60)

1 3 5 7 9 15 21 25 27 31 35 45 63 75 81 93 105 135 155 175 189 217 225 279 315 405 465 525 567 651 675 775 837 945 1,085 1,395 1,575 1,953 2,025 2,325 2,511 2,835 3,255 4,185 4,725 5,425 5,859 6,975 9,765 12,555 14,175 16,275 17,577 20,925 29,295 48,825 62,775 87,885 146,475 439,425

Collatz Trajectory (156 steps to reach 1)

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

439,425 1,318,276 659,138 329,569 988,708 494,354 247,177 741,532 370,766 185,383 556,150 278,075 834,226 417,113 1,251,340 625,670 312,835 938,506 469,253 1,407,760 703,880 351,940 175,970 87,985 263,956 131,978 65,989 197,968 98,984 49,492 24,746 12,373 37,120 18,560 9,280 4,640 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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