63,510

2 × 3 × 5 × 29 × 73

63,510 factors as 2 × 3 × 5 × 29 × 73. Its 32 positive divisors give a proper-divisor sum of 96,330, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 29 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 159,840

Proper Divisor Sum 96,330

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #63499 ← → #63521

Radix Representation

Decimal	63510
Binary	1111100000010110 (16 bits)
Octal	0o174026
Hexadecimal	0xF816

Divisor Catalog (32)

1 2 3 5 6 10 15 29 30 58 73 87 145 146 174 219 290 365 435 438 730 870 1,095 2,117 2,190 4,234 6,351 10,585 12,702 21,170 31,755 63,510

Collatz Trajectory (55 steps to reach 1)

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

63,510 31,755 95,266 47,633 142,900 71,450 35,725 107,176 53,588 26,794 13,397 40,192 20,096 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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