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Atlas › Integer Profiles › Node 9,566,396

9,566,396

22 × 7 × 149 × 2293
Abundant Even Composite

9,566,396 factors as 2^2 × 7 × 149 × 2293. Its 24 positive divisors give a proper-divisor sum of 9,703,204, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 149 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,269,600
Proper Divisor Sum 9,703,204
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9566377 ← → #9566399

Radix Representation

Decimal 9566396
Binary 100100011111100010111100 (24 bits)
Octal 0o44374274
Hexadecimal 0x91F8BC

Divisor Catalog (24)

1 2 4 7 14 28 149 298 596 1,043 2,086 2,293 4,172 4,586 9,172 16,051 32,102 64,204 341,657 683,314 1,366,628 2,391,599 4,783,198 9,566,396

Collatz Trajectory (238 steps to reach 1)

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

9,566,396 4,783,198 2,391,599 7,174,798 3,587,399 10,762,198 5,381,099 16,143,298 8,071,649 24,214,948 12,107,474 6,053,737 18,161,212 9,080,606 4,540,303 13,620,910 6,810,455 20,431,366 10,215,683 30,647,050 15,323,525 45,970,576 22,985,288 11,492,644 5,746,322 2,873,161 8,619,484 4,309,742 2,154,871 6,464,614 3,232,307 9,696,922 4,848,461 14,545,384 7,272,692 3,636,346 1,818,173 5,454,520 2,727,260 1,363,630 681,815 2,045,446 1,022,723 3,068,170 1,534,085 4,602,256 2,301,128 1,150,564 575,282 287,641 862,924 431,462 215,731 647,194 323,597 970,792 485,396 242,698 121,349 364,048

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