452,364

2² × 3 × 11 × 23 × 149

452,364 factors as 2^2 × 3 × 11 × 23 × 149. Its 48 positive divisors give a proper-divisor sum of 757,236, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 23 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,209,600

Proper Divisor Sum 757,236

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #452363 ← → #452377

Radix Representation

Decimal	452364
Binary	1101110011100001100 (19 bits)
Octal	0o1563414
Hexadecimal	0x6E70C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 149 253 276 298 447 506 596 759 894 1,012 1,518 1,639 1,788 3,036 3,278 3,427 4,917 6,556 6,854 9,834 10,281 13,708 19,668 20,562 37,697 41,124 75,394 113,091 150,788 226,182 452,364

Collatz Trajectory (138 steps to reach 1)

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

452,364 226,182 113,091 339,274 169,637 508,912 254,456 127,228 63,614 31,807 95,422 47,711 143,134 71,567 214,702 107,351 322,054 161,027 483,082 241,541 724,624 362,312 181,156 90,578 45,289 135,868 67,934 33,967 101,902 50,951 152,854 76,427 229,282 114,641 343,924 171,962 85,981 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870

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