λ
Harmonic Matrix

508,017

3 × 169339
Deficient Odd Composite

508,017 has digital root 3. The neighboring primes are 508009 and 508019; its proper-divisor sum differs from the starting integer by -338,674.

Prime Factor Structure

Factorization String 3 × 169339
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 677,360
Proper Divisor Sum 169,343
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #508009 ← → #508019

Radix Representation

Decimal 508017
Binary 1111100000001110001 (19 bits)
Octal 0o1740161
Hexadecimal 0x7C071

Divisor Catalog (4)

1 3 169,339 508,017

Collatz Trajectory (58 steps to reach 1)

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

508,017 1,524,052 762,026 381,013 1,143,040 571,520 285,760 142,880 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 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

More profiles

← Previous Integer #508,016 Browse Full Index Next Integer #508,018 →