609,648

2⁴ × 3 × 13 × 977

609,648 factors as 2^4 × 3 × 13 × 977. Its 40 positive divisors give a proper-divisor sum of 1,088,160, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 977

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,697,808

Proper Divisor Sum 1,088,160

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #609641 ← → #609673

Radix Representation

Decimal	609648
Binary	10010100110101110000 (20 bits)
Octal	0o2246560
Hexadecimal	0x94D70

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 977 1,954 2,931 3,908 5,862 7,816 11,724 12,701 15,632 23,448 25,402 38,103 46,896 50,804 76,206 101,608 152,412 203,216 304,824 609,648

Collatz Trajectory (203 steps to reach 1)

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

609,648 304,824 152,412 76,206 38,103 114,310 57,155 171,466 85,733 257,200 128,600 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218

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