513,113

263 × 1951

513,113 factors as 263 × 1951. Its 4 positive divisors give a proper-divisor sum of 2,215, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 263 × 1951

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 515,328

Proper Divisor Sum 2,215

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #513109 ← → #513131

Radix Representation

Decimal	513113
Binary	1111101010001011001 (19 bits)
Octal	0o1752131
Hexadecimal	0x7D459

Divisor Catalog (4)

1 263 1,951 513,113

Collatz Trajectory (226 steps to reach 1)

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

513,113 1,539,340 769,670 384,835 1,154,506 577,253 1,731,760 865,880 432,940 216,470 108,235 324,706 162,353 487,060 243,530 121,765 365,296 182,648 91,324 45,662 22,831 68,494 34,247 102,742 51,371 154,114 77,057 231,172 115,586 57,793 173,380 86,690 43,345 130,036 65,018 32,509 97,528 48,764 24,382 12,191 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721 185,164 92,582 46,291 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178

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