467,016

2³ × 3 × 11 × 29 × 61

467,016 factors as 2^3 × 3 × 11 × 29 × 61. Its 64 positive divisors give a proper-divisor sum of 872,184, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 29 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,339,200

Proper Divisor Sum 872,184

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #467009 ← → #467017

Radix Representation

Decimal	467016
Binary	1110010000001001000 (19 bits)
Octal	0o1620110
Hexadecimal	0x72048

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 29 33 44 58 61 66 87 88 116 122 132 174 183 232 244 264 319 348 366 488 638 671 696 732 957 1,276 1,342 1,464 1,769 1,914 2,013 2,552 2,684 3,538 3,828 4,026 5,307 5,368 7,076 7,656 8,052 10,614 14,152 16,104 19,459 21,228 38,918 42,456 58,377 77,836

Collatz Trajectory (107 steps to reach 1)

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

467,016 233,508 116,754 58,377 175,132 87,566 43,783 131,350 65,675 197,026 98,513 295,540 147,770 73,885 221,656 110,828 55,414 27,707 83,122 41,561 124,684 62,342 31,171 93,514 46,757 140,272 70,136 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968

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