513,068

2² × 29 × 4423

For 513,068, the 12 positive divisors have a total of 929,040. Removing 513,068 leaves 415,972, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 29 × 4423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 929,040

Proper Divisor Sum 415,972

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #513067 ← → #513083

Radix Representation

Decimal	513068
Binary	1111101010000101100 (19 bits)
Octal	0o1752054
Hexadecimal	0x7D42C

Divisor Catalog (12)

1 2 4 29 58 116 4,423 8,846 17,692 128,267 256,534 513,068

Collatz Trajectory (182 steps to reach 1)

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

513,068 256,534 128,267 384,802 192,401 577,204 288,602 144,301 432,904 216,452 108,226 54,113 162,340 81,170 40,585 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752 1,405,876 702,938

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