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Atlas › Integer Profiles › Node 8,094,888

8,094,888

23 × 32 × 112429
Abundant Even Composite

8,094,888 factors as 2^3 × 3^2 × 112429. Its 24 positive divisors give a proper-divisor sum of 13,828,962, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 112429
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,923,850
Proper Divisor Sum 13,828,962
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8094887 ← → #8094901

Radix Representation

Decimal 8094888
Binary 11110111000010010101000 (23 bits)
Octal 0o36702250
Hexadecimal 0x7B84A8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 112,429 224,858 337,287 449,716 674,574 899,432 1,011,861 1,349,148 2,023,722 2,698,296 4,047,444 8,094,888

Collatz Trajectory (137 steps to reach 1)

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

8,094,888 4,047,444 2,023,722 1,011,861 3,035,584 1,517,792 758,896 379,448 189,724 94,862 47,431 142,294 71,147 213,442 106,721 320,164 160,082 80,041 240,124 120,062 60,031 180,094 90,047 270,142 135,071 405,214 202,607 607,822 303,911 911,734 455,867 1,367,602 683,801 2,051,404 1,025,702 512,851 1,538,554 769,277 2,307,832 1,153,916 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619 2,920,858 1,460,429 4,381,288 2,190,644 1,095,322 547,661 1,642,984 821,492 410,746 205,373 616,120 308,060

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