439,725

3 × 5² × 11 × 13 × 41

439,725 factors as 3 × 5^2 × 11 × 13 × 41. Its 48 positive divisors give a proper-divisor sum of 435,219, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 13 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 874,944

Proper Divisor Sum 435,219

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #439723 ← → #439729

Radix Representation

Decimal	439725
Binary	1101011010110101101 (19 bits)
Octal	0o1532655
Hexadecimal	0x6B5AD

Divisor Catalog (48)

1 3 5 11 13 15 25 33 39 41 55 65 75 123 143 165 195 205 275 325 429 451 533 615 715 825 975 1,025 1,353 1,599 2,145 2,255 2,665 3,075 3,575 5,863 6,765 7,995 10,725 11,275 13,325 17,589 29,315 33,825 39,975 87,945 146,575 439,725

Collatz Trajectory (99 steps to reach 1)

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

439,725 1,319,176 659,588 329,794 164,897 494,692 247,346 123,673 371,020 185,510 92,755 278,266 139,133 417,400 208,700 104,350 52,175 156,526 78,263 234,790 117,395 352,186 176,093 528,280 264,140 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718 27,859 83,578 41,789 125,368 62,684 31,342 15,671 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420

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