580,401

3² × 64489

580,401 factors as 3^2 × 64489. Its 6 positive divisors give a proper-divisor sum of 257,969, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 64489

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 838,370

Proper Divisor Sum 257,969

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #580381 ← → #580409

Radix Representation

Decimal	580401
Binary	10001101101100110001 (20 bits)
Octal	0o2155461
Hexadecimal	0x8DB31

Divisor Catalog (6)

1 3 9 64,489 193,467 580,401

Collatz Trajectory (97 steps to reach 1)

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

580,401 1,741,204 870,602 435,301 1,305,904 652,952 326,476 163,238 81,619 244,858 122,429 367,288 183,644 91,822 45,911 137,734 68,867 206,602 103,301 309,904 154,952 77,476 38,738 19,369 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614

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