18,467,688

2³ × 3 × 769487

18,467,688 factors as 2^3 × 3 × 769487. Its 16 positive divisors give a proper-divisor sum of 27,701,592, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 769487

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 46,169,280

Proper Divisor Sum 27,701,592

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #18467629 ← → #18467707

Radix Representation

Decimal	18467688
Binary	1000110011100101101101000 (25 bits)
Octal	0o106345550
Hexadecimal	0x119CB68

Divisor Catalog (16)

1 2 3 4 6 8 12 24 769,487 1,538,974 2,308,461 3,077,948 4,616,922 6,155,896 9,233,844 18,467,688

Collatz Trajectory (133 steps to reach 1)

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

18,467,688 9,233,844 4,616,922 2,308,461 6,925,384 3,462,692 1,731,346 865,673 2,597,020 1,298,510 649,255 1,947,766 973,883 2,921,650 1,460,825 4,382,476 2,191,238 1,095,619 3,286,858 1,643,429 4,930,288 2,465,144 1,232,572 616,286 308,143 924,430 462,215 1,386,646 693,323 2,079,970 1,039,985 3,119,956 1,559,978 779,989 2,339,968 1,169,984 584,992 292,496 146,248 73,124 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254

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