590,880

2⁵ × 3 × 5 × 1231

590,880 factors as 2^5 × 3 × 5 × 1231. Its 48 positive divisors give a proper-divisor sum of 1,271,904, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 1231

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,862,784

Proper Divisor Sum 1,271,904

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #590867 ← → #590899

Radix Representation

Decimal	590880
Binary	10010000010000100000 (20 bits)
Octal	0o2202040
Hexadecimal	0x90420

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1,231 2,462 3,693 4,924 6,155 7,386 9,848 12,310 14,772 18,465 19,696 24,620 29,544 36,930 39,392 49,240 59,088 73,860 98,480 118,176 147,720 196,960 295,440 590,880

Collatz Trajectory (97 steps to reach 1)

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

590,880 295,440 147,720 73,860 36,930 18,465 55,396 27,698 13,849 41,548 20,774 10,387 31,162 15,581 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 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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