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Atlas › Integer Profiles › Node 8,680,356

8,680,356

22 × 32 × 41 × 5881
Abundant Even Composite

8,680,356 factors as 2^2 × 3^2 × 41 × 5881. Its 36 positive divisors give a proper-divisor sum of 13,800,648, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 41 × 5881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,481,004
Proper Divisor Sum 13,800,648
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8680337 ← → #8680369

Radix Representation

Decimal 8680356
Binary 100001000111001110100100 (24 bits)
Octal 0o41071644
Hexadecimal 0x8473A4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1,476 5,881 11,762 17,643 23,524 35,286 52,929 70,572 105,858 211,716 241,121 482,242 723,363 964,484 1,446,726 2,170,089 2,893,452 4,340,178 8,680,356

Collatz Trajectory (119 steps to reach 1)

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

8,680,356 4,340,178 2,170,089 6,510,268 3,255,134 1,627,567 4,882,702 2,441,351 7,324,054 3,662,027 10,986,082 5,493,041 16,479,124 8,239,562 4,119,781 12,359,344 6,179,672 3,089,836 1,544,918 772,459 2,317,378 1,158,689 3,476,068 1,738,034 869,017 2,607,052 1,303,526 651,763 1,955,290 977,645 2,932,936 1,466,468 733,234 366,617 1,099,852 549,926 274,963 824,890 412,445 1,237,336 618,668 309,334 154,667 464,002 232,001 696,004 348,002 174,001 522,004 261,002 130,501 391,504 195,752 97,876 48,938 24,469 73,408 36,704 18,352 9,176

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