λ
Integer Codex

530,307

34 × 6547
Deficient Odd Composite

For 530,307, the 10 positive divisors have a total of 792,308. Removing 530,307 leaves 262,001, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 6547
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 792,308
Proper Divisor Sum 262,001
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #530303 ← → #530329

Radix Representation

Decimal 530307
Binary 10000001011110000011 (20 bits)
Octal 0o2013603
Hexadecimal 0x81783

Divisor Catalog (10)

1 3 9 27 81 6,547 19,641 58,923 176,769 530,307

Collatz Trajectory (120 steps to reach 1)

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

530,307 1,590,922 795,461 2,386,384 1,193,192 596,596 298,298 149,149 447,448 223,724 111,862 55,931 167,794 83,897 251,692 125,846 62,923 188,770 94,385 283,156 141,578 70,789 212,368 106,184 53,092 26,546 13,273 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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