581,324

2² × 19 × 7649

581,324 has digital root 5. The neighboring primes are 581323 and 581333; its proper-divisor sum differs from the starting integer by -91,648.

Prime Factor Structure

Factorization String 2^2 × 19 × 7649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,071,000

Proper Divisor Sum 489,676

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #581323 ← → #581333

Radix Representation

Decimal	581324
Binary	10001101111011001100 (20 bits)
Octal	0o2157314
Hexadecimal	0x8DECC

Divisor Catalog (12)

1 2 4 19 38 76 7,649 15,298 30,596 145,331 290,662 581,324

Collatz Trajectory (71 steps to reach 1)

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

581,324 290,662 145,331 435,994 217,997 653,992 326,996 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106

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