455,076

2² × 3² × 12641

455,076 factors as 2^2 × 3^2 × 12641. Its 18 positive divisors give a proper-divisor sum of 695,346, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 12641

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,150,422

Proper Divisor Sum 695,346

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #455053 ← → #455093

Radix Representation

Decimal	455076
Binary	1101111000110100100 (19 bits)
Octal	0o1570644
Hexadecimal	0x6F1A4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 12,641 25,282 37,923 50,564 75,846 113,769 151,692 227,538 455,076

Collatz Trajectory (200 steps to reach 1)

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

455,076 227,538 113,769 341,308 170,654 85,327 255,982 127,991 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240 91,120 45,560 22,780 11,390 5,695 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332

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