571,095

3² × 5 × 7³ × 37

Starting at 571,095, the Collatz iteration reaches 1 after 128 steps. The first transition is 1713286; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7^3 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,185,600

Proper Divisor Sum 614,505

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #571093 ← → #571099

Radix Representation

Decimal	571095
Binary	10001011011011010111 (20 bits)
Octal	0o2133327
Hexadecimal	0x8B6D7

Divisor Catalog (48)

1 3 5 7 9 15 21 35 37 45 49 63 105 111 147 185 245 259 315 333 343 441 555 735 777 1,029 1,295 1,665 1,715 1,813 2,205 2,331 3,087 3,885 5,145 5,439 9,065 11,655 12,691 15,435 16,317 27,195 38,073 63,455 81,585 114,219 190,365 571,095

Collatz Trajectory (128 steps to reach 1)

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

571,095 1,713,286 856,643 2,569,930 1,284,965 3,854,896 1,927,448 963,724 481,862 240,931 722,794 361,397 1,084,192 542,096 271,048 135,524 67,762 33,881 101,644 50,822 25,411 76,234 38,117 114,352 57,176 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748

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