578,732

2² × 7 × 11 × 1879

578,732 factors as 2^2 × 7 × 11 × 1879. Its 24 positive divisors give a proper-divisor sum of 684,628, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 1879

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,263,360

Proper Divisor Sum 684,628

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #578729 ← → #578741

Radix Representation

Decimal	578732
Binary	10001101010010101100 (20 bits)
Octal	0o2152254
Hexadecimal	0x8D4AC

Divisor Catalog (24)

Collatz Trajectory (97 steps to reach 1)

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

578,732 289,366 144,683 434,050 217,025 651,076 325,538 162,769 488,308 244,154 122,077 366,232 183,116 91,558 45,779 137,338 68,669 206,008 103,004 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614

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