51,324

2² × 3 × 7 × 13 × 47

51,324 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 13 × 47 and its 48 divisors sum to 150,528.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 150,528

Proper Divisor Sum 99,204

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #51307 ← → #51329

Radix Representation

Decimal	51324
Binary	1100100001111100 (16 bits)
Octal	0o144174
Hexadecimal	0xC87C

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 182 188 273 282 329 364 546 564 611 658 987 1,092 1,222 1,316 1,833 1,974 2,444 3,666 3,948 4,277 7,332 8,554 12,831 17,108 25,662 51,324

Collatz Trajectory (78 steps to reach 1)

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

51,324 25,662 12,831 38,494 19,247 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56

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