590,916

2² × 3 × 23 × 2141

Starting at 590,916, the Collatz iteration reaches 1 after 97 steps. The first transition is 295458; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 2141

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,439,424

Proper Divisor Sum 848,508

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #590899 ← → #590921

Radix Representation

Decimal	590916
Binary	10010000010001000100 (20 bits)
Octal	0o2202104
Hexadecimal	0x90444

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 2,141 4,282 6,423 8,564 12,846 25,692 49,243 98,486 147,729 196,972 295,458 590,916

Collatz Trajectory (97 steps to reach 1)

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

590,916 295,458 147,729 443,188 221,594 110,797 332,392 166,196 83,098 41,549 124,648 62,324 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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