460,470

2 × 3 × 5 × 15349

460,470 factors as 2 × 3 × 5 × 15349. Its 16 positive divisors give a proper-divisor sum of 644,730, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 15349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,105,200

Proper Divisor Sum 644,730

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #460463 ← → #460477

Radix Representation

Decimal	460470
Binary	1110000011010110110 (19 bits)
Octal	0o1603266
Hexadecimal	0x706B6

Divisor Catalog (16)

1 2 3 5 6 10 15 30 15,349 30,698 46,047 76,745 92,094 153,490 230,235 460,470

Collatz Trajectory (138 steps to reach 1)

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

460,470 230,235 690,706 345,353 1,036,060 518,030 259,015 777,046 388,523 1,165,570 582,785 1,748,356 874,178 437,089 1,311,268 655,634 327,817 983,452 491,726 245,863 737,590 368,795 1,106,386 553,193 1,659,580 829,790 414,895 1,244,686 622,343 1,867,030 933,515 2,800,546 1,400,273 4,200,820 2,100,410 1,050,205 3,150,616 1,575,308 787,654 393,827 1,181,482 590,741 1,772,224 886,112 443,056 221,528 110,764 55,382 27,691 83,074 41,537 124,612 62,306 31,153 93,460 46,730 23,365 70,096 35,048 17,524

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #460,469 Browse Full Index Next Integer #460,471 →