598,050

2 × 3³ × 5² × 443

Starting at 598,050, the Collatz iteration reaches 1 after 97 steps. The first transition is 299025; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,651,680

Proper Divisor Sum 1,053,630

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #598049 ← → #598051

Radix Representation

Decimal	598050
Binary	10010010000000100010 (20 bits)
Octal	0o2220042
Hexadecimal	0x92022

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 443 450 675 886 1,329 1,350 2,215 2,658 3,987 4,430 6,645 7,974 11,075 11,961 13,290 19,935 22,150 23,922 33,225 39,870 59,805 66,450 99,675 119,610 199,350 299,025 598,050

Collatz Trajectory (97 steps to reach 1)

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

598,050 299,025 897,076 448,538 224,269 672,808 336,404 168,202 84,101 252,304 126,152 63,076 31,538 15,769 47,308 23,654 11,827 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797

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