459,342

2 × 3² × 13² × 151

459,342 factors as 2 × 3^2 × 13^2 × 151. Its 36 positive divisors give a proper-divisor sum of 625,482, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13^2 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,084,824

Proper Divisor Sum 625,482

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #459341 ← → #459343

Radix Representation

Decimal	459342
Binary	1110000001001001110 (19 bits)
Octal	0o1601116
Hexadecimal	0x7024E

Divisor Catalog (36)

1 2 3 6 9 13 18 26 39 78 117 151 169 234 302 338 453 507 906 1,014 1,359 1,521 1,963 2,718 3,042 3,926 5,889 11,778 17,667 25,519 35,334 51,038 76,557 153,114 229,671 459,342

Collatz Trajectory (200 steps to reach 1)

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

459,342 229,671 689,014 344,507 1,033,522 516,761 1,550,284 775,142 387,571 1,162,714 581,357 1,744,072 872,036 436,018 218,009 654,028 327,014 163,507 490,522 245,261 735,784 367,892 183,946 91,973 275,920 137,960 68,980 34,490 17,245 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974

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