563,983

7 × 23 × 31 × 113

563,983 has digital root 7. The neighboring primes are 563971 and 563987; its proper-divisor sum differs from the starting integer by -427,550.

Prime Factor Structure

Factorization String 7 × 23 × 31 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 700,416

Proper Divisor Sum 136,433

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #563971 ← → #563987

Radix Representation

Decimal	563983
Binary	10001001101100001111 (20 bits)
Octal	0o2115417
Hexadecimal	0x89B0F

Divisor Catalog (16)

1 7 23 31 113 161 217 713 791 2,599 3,503 4,991 18,193 24,521 80,569 563,983

Collatz Trajectory (58 steps to reach 1)

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

563,983 1,691,950 845,975 2,537,926 1,268,963 3,806,890 1,903,445 5,710,336 2,855,168 1,427,584 713,792 356,896 178,448 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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