581,399

7 × 13 × 6389

Starting at 581,399, the Collatz iteration reaches 1 after 190 steps. The first transition is 1744198; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 6389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 715,680

Proper Divisor Sum 134,281

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #581393 ← → #581407

Radix Representation

Decimal	581399
Binary	10001101111100010111 (20 bits)
Octal	0o2157427
Hexadecimal	0x8DF17

Divisor Catalog (8)

1 7 13 91 6,389 44,723 83,057 581,399

Collatz Trajectory (190 steps to reach 1)

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

581,399 1,744,198 872,099 2,616,298 1,308,149 3,924,448 1,962,224 981,112 490,556 245,278 122,639 367,918 183,959 551,878 275,939 827,818 413,909 1,241,728 620,864 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860

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