468,692

2² × 7 × 19 × 881

468,692 factors as 2^2 × 7 × 19 × 881. Its 24 positive divisors give a proper-divisor sum of 519,148, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 987,840

Proper Divisor Sum 519,148

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #468691 ← → #468697

Radix Representation

Decimal	468692
Binary	1110010011011010100 (19 bits)
Octal	0o1623324
Hexadecimal	0x726D4

Divisor Catalog (24)

1 2 4 7 14 19 28 38 76 133 266 532 881 1,762 3,524 6,167 12,334 16,739 24,668 33,478 66,956 117,173 234,346 468,692

Collatz Trajectory (169 steps to reach 1)

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

468,692 234,346 117,173 351,520 175,760 87,880 43,940 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496

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