586,557

3² × 65173

586,557 factors as 3^2 × 65173. Its 6 positive divisors give a proper-divisor sum of 260,705, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 3^2 × 65173

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 847,262

Proper Divisor Sum 260,705

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #586543 ← → #586567

Radix Representation

Decimal	586557
Binary	10001111001100111101 (20 bits)
Octal	0o2171475
Hexadecimal	0x8F33D

Divisor Catalog (6)

1 3 9 65,173 195,519 586,557

Collatz Trajectory (221 steps to reach 1)

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

586,557 1,759,672 879,836 439,918 219,959 659,878 329,939 989,818 494,909 1,484,728 742,364 371,182 185,591 556,774 278,387 835,162 417,581 1,252,744 626,372 313,186 156,593 469,780 234,890 117,445 352,336 176,168 88,084 44,042 22,021 66,064 33,032 16,516 8,258 4,129 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354

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