508,105

5 × 13 × 7817

508,105 factors as 5 × 13 × 7817. Its 8 positive divisors give a proper-divisor sum of 148,607, so this integer is deficient. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 5 × 13 × 7817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 656,712

Proper Divisor Sum 148,607

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #508103 ← → #508129

Radix Representation

Decimal	508105
Binary	1111100000011001001 (19 bits)
Octal	0o1740311
Hexadecimal	0x7C0C9

Divisor Catalog (8)

1 5 13 65 7,817 39,085 101,621 508,105

Collatz Trajectory (58 steps to reach 1)

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

508,105 1,524,316 762,158 381,079 1,143,238 571,619 1,714,858 857,429 2,572,288 1,286,144 643,072 321,536 160,768 80,384 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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