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Atlas › Integer Profiles › Node 8,367,456

8,367,456

25 × 3 × 43 × 2027
Abundant Even Composite

8,367,456 factors as 2^5 × 3 × 43 × 2027. Its 48 positive divisors give a proper-divisor sum of 14,119,008, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 43 × 2027
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,486,464
Proper Divisor Sum 14,119,008
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8367397 ← → #8367517

Radix Representation

Decimal 8367456
Binary 11111111010110101100000 (23 bits)
Octal 0o37726540
Hexadecimal 0x7FAD60

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1,032 1,376 2,027 2,064 4,054 4,128 6,081 8,108 12,162 16,216 24,324 32,432 48,648 64,864 87,161 97,296 174,322 194,592 261,483 348,644 522,966 697,288 1,045,932 1,394,576 2,091,864 2,789,152 4,183,728 8,367,456

Collatz Trajectory (168 steps to reach 1)

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

8,367,456 4,183,728 2,091,864 1,045,932 522,966 261,483 784,450 392,225 1,176,676 588,338 294,169 882,508 441,254 220,627 661,882 330,941 992,824 496,412 248,206 124,103 372,310 186,155 558,466 279,233 837,700 418,850 209,425 628,276 314,138 157,069 471,208 235,604 117,802 58,901 176,704 88,352 44,176 22,088 11,044 5,522 2,761 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41

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