513,010

2 × 5 × 29² × 61

513,010 factors as 2 × 5 × 29^2 × 61. Its 24 positive divisors give a proper-divisor sum of 459,026, so this integer is deficient. The Collatz stopping time is 332 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29^2 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 972,036

Proper Divisor Sum 459,026

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #513001 ← → #513013

Radix Representation

Decimal	513010
Binary	1111101001111110010 (19 bits)
Octal	0o1751762
Hexadecimal	0x7D3F2

Divisor Catalog (24)

1 2 5 10 29 58 61 122 145 290 305 610 841 1,682 1,769 3,538 4,205 8,410 8,845 17,690 51,301 102,602 256,505 513,010

Collatz Trajectory (332 steps to reach 1)

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

513,010 256,505 769,516 384,758 192,379 577,138 288,569 865,708 432,854 216,427 649,282 324,641 973,924 486,962 243,481 730,444 365,222 182,611 547,834 273,917 821,752 410,876 205,438 102,719 308,158 154,079 462,238 231,119 693,358 346,679 1,040,038 520,019 1,560,058 780,029 2,340,088 1,170,044 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931

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