563,996

2² × 19 × 41 × 181

Starting at 563,996, the Collatz iteration reaches 1 after 58 steps. The first transition is 281998; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 41 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,070,160

Proper Divisor Sum 506,164

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #563987 ← → #563999

Radix Representation

Decimal	563996
Binary	10001001101100011100 (20 bits)
Octal	0o2115434
Hexadecimal	0x89B1C

Divisor Catalog (24)

1 2 4 19 38 41 76 82 164 181 362 724 779 1,558 3,116 3,439 6,878 7,421 13,756 14,842 29,684 140,999 281,998 563,996

Collatz Trajectory (58 steps to reach 1)

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

563,996 281,998 140,999 422,998 211,499 634,498 317,249 951,748 475,874 237,937 713,812 356,906 178,453 535,360 267,680 133,840 66,920 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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