618,608

2⁴ × 23 × 41²

618,608 factors as 2^4 × 23 × 41^2. Its 30 positive divisors give a proper-divisor sum of 663,304, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 41^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 1,281,912

Proper Divisor Sum 663,304

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #618593 ← → #618619

Radix Representation

Decimal	618608
Binary	10010111000001110000 (20 bits)
Octal	0o2270160
Hexadecimal	0x97070

Divisor Catalog (30)

1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1,681 1,886 3,362 3,772 6,724 7,544 13,448 15,088 26,896 38,663 77,326 154,652 309,304 618,608

Collatz Trajectory (141 steps to reach 1)

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

618,608 309,304 154,652 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926

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