λ
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468,264

23 × 3 × 109 × 179
Abundant Even Composite

468,264 factors as 2^3 × 3 × 109 × 179. Its 32 positive divisors give a proper-divisor sum of 719,736, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 109 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,188,000
Proper Divisor Sum 719,736
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #468253 ← → #468271

Radix Representation

Decimal 468264
Binary 1110010010100101000 (19 bits)
Octal 0o1622450
Hexadecimal 0x72528

Divisor Catalog (32)

1 2 3 4 6 8 12 24 109 179 218 327 358 436 537 654 716 872 1,074 1,308 1,432 2,148 2,616 4,296 19,511 39,022 58,533 78,044 117,066 156,088 234,132 468,264

Collatz Trajectory (63 steps to reach 1)

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

468,264 234,132 117,066 58,533 175,600 87,800 43,900 21,950 10,975 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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