117,364

2² × 13 × 37 × 61

117,364 is even and not a perfect square. Its factorization is 2^2 × 13 × 37 × 61 and its 24 divisors sum to 230,888.

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 230,888

Proper Divisor Sum 113,524

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #117361 ← → #117371

Radix Representation

Decimal	117364
Binary	11100101001110100 (17 bits)
Octal	0o345164
Hexadecimal	0x1CA74

Divisor Catalog (24)

1 2 4 13 26 37 52 61 74 122 148 244 481 793 962 1,586 1,924 2,257 3,172 4,514 9,028 29,341 58,682 117,364

Collatz Trajectory (79 steps to reach 1)

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

117,364 58,682 29,341 88,024 44,012 22,006 11,003 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746

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