515,652

2² × 3 × 97 × 443

515,652 factors as 2^2 × 3 × 97 × 443. Its 24 positive divisors give a proper-divisor sum of 702,684, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 97 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,218,336

Proper Divisor Sum 702,684

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #515651 ← → #515653

Radix Representation

Decimal	515652
Binary	1111101111001000100 (19 bits)
Octal	0o1757104
Hexadecimal	0x7DE44

Divisor Catalog (24)

1 2 3 4 6 12 97 194 291 388 443 582 886 1,164 1,329 1,772 2,658 5,316 42,971 85,942 128,913 171,884 257,826 515,652

Collatz Trajectory (102 steps to reach 1)

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

515,652 257,826 128,913 386,740 193,370 96,685 290,056 145,028 72,514 36,257 108,772 54,386 27,193 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945 68,836 34,418 17,209 51,628 25,814 12,907 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274

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