590,700

2² × 3 × 5² × 11 × 179

Starting at 590,700, the Collatz iteration reaches 1 after 234 steps. The first transition is 295350; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,874,880

Proper Divisor Sum 1,284,180

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #590669 ← → #590713

Radix Representation

Decimal	590700
Binary	10010000001101101100 (20 bits)
Octal	0o2201554
Hexadecimal	0x9036C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 179 220 275 300 330 358 537 550 660 716 825 895 1,074 1,100 1,650 1,790 1,969 2,148 2,685 3,300 3,580 3,938 4,475 5,370 5,907 7,876 8,950 9,845 10,740 11,814 13,425 17,900 19,690 23,628

Collatz Trajectory (234 steps to reach 1)

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

590,700 295,350 147,675 443,026 221,513 664,540 332,270 166,135 498,406 249,203 747,610 373,805 1,121,416 560,708 280,354 140,177 420,532 210,266 105,133 315,400 157,700 78,850 39,425 118,276 59,138 29,569 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748

← Previous Integer #590,699 Browse Full Index Next Integer #590,701 →