7,684,548

2² × 3 × 41 × 15619

7,684,548 factors as 2^2 × 3 × 41 × 15619. Its 24 positive divisors give a proper-divisor sum of 10,684,572, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 15619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,369,120

Proper Divisor Sum 10,684,572

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7684529 ← → #7684549

Radix Representation

Decimal	7684548
Binary	11101010100000111000100 (23 bits)
Octal	0o35240704
Hexadecimal	0x7541C4

Divisor Catalog (24)

Collatz Trajectory (186 steps to reach 1)

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

7,684,548 3,842,274 1,921,137 5,763,412 2,881,706 1,440,853 4,322,560 2,161,280 1,080,640 540,320 270,160 135,080 67,540 33,770 16,885 50,656 25,328 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788

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