563,768

2³ × 19 × 3709

Starting at 563,768, the Collatz iteration reaches 1 after 159 steps. The first transition is 281884; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 3709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,113,000

Proper Divisor Sum 549,232

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #563747 ← → #563777

Radix Representation

Decimal	563768
Binary	10001001101000111000 (20 bits)
Octal	0o2115070
Hexadecimal	0x89A38

Divisor Catalog (16)

1 2 4 8 19 38 76 152 3,709 7,418 14,836 29,672 70,471 140,942 281,884 563,768

Collatz Trajectory (159 steps to reach 1)

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

563,768 281,884 140,942 70,471 211,414 105,707 317,122 158,561 475,684 237,842 118,921 356,764 178,382 89,191 267,574 133,787 401,362 200,681 602,044 301,022 150,511 451,534 225,767 677,302 338,651 1,015,954 507,977 1,523,932 761,966 380,983 1,142,950 571,475 1,714,426 857,213 2,571,640 1,285,820 642,910 321,455 964,366 482,183 1,446,550 723,275 2,169,826 1,084,913 3,254,740 1,627,370 813,685 2,441,056 1,220,528 610,264 305,132 152,566 76,283 228,850 114,425 343,276 171,638 85,819 257,458 128,729

← Previous Integer #563,767 Browse Full Index Next Integer #563,769 →