623,180

2² × 5 × 31159

623,180 factors as 2^2 × 5 × 31159. Its 12 positive divisors give a proper-divisor sum of 685,540, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31159

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,308,720

Proper Divisor Sum 685,540

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #623171 ← → #623209

Radix Representation

Decimal	623180
Binary	10011000001001001100 (20 bits)
Octal	0o2301114
Hexadecimal	0x9824C

Divisor Catalog (12)

1 2 4 5 10 20 31,159 62,318 124,636 155,795 311,590 623,180

Collatz Trajectory (234 steps to reach 1)

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

623,180 311,590 155,795 467,386 233,693 701,080 350,540 175,270 87,635 262,906 131,453 394,360 197,180 98,590 49,295 147,886 73,943 221,830 110,915 332,746 166,373 499,120 249,560 124,780 62,390 31,195 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723

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