590,744

2³ × 7² × 11 × 137

590,744 factors as 2^3 × 7^2 × 11 × 137. Its 48 positive divisors give a proper-divisor sum of 825,136, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 11 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,415,880

Proper Divisor Sum 825,136

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #590741 ← → #590753

Radix Representation

Decimal	590744
Binary	10010000001110011000 (20 bits)
Octal	0o2201630
Hexadecimal	0x90398

Divisor Catalog (48)

1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 137 154 196 274 308 392 539 548 616 959 1,078 1,096 1,507 1,918 2,156 3,014 3,836 4,312 6,028 6,713 7,672 10,549 12,056 13,426 21,098 26,852 42,196 53,704 73,843 84,392 147,686 295,372 590,744

Collatz Trajectory (97 steps to reach 1)

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

590,744 295,372 147,686 73,843 221,530 110,765 332,296 166,148 83,074 41,537 124,612 62,306 31,153 93,460 46,730 23,365 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628

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