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8,426,800

24 × 52 × 21067
Abundant Even Composite

8,426,800 factors as 2^4 × 5^2 × 21067. Its 30 positive divisors give a proper-divisor sum of 11,819,548, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 21067
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 20,246,348
Proper Divisor Sum 11,819,548
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8426797 ← → #8426801

Radix Representation

Decimal 8426800
Binary 100000001001010100110000 (24 bits)
Octal 0o40112460
Hexadecimal 0x809530

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 21,067 42,134 84,268 105,335 168,536 210,670 337,072 421,340 526,675 842,680 1,053,350 1,685,360 2,106,700 4,213,400 8,426,800

Collatz Trajectory (129 steps to reach 1)

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

8,426,800 4,213,400 2,106,700 1,053,350 526,675 1,580,026 790,013 2,370,040 1,185,020 592,510 296,255 888,766 444,383 1,333,150 666,575 1,999,726 999,863 2,999,590 1,499,795 4,499,386 2,249,693 6,749,080 3,374,540 1,687,270 843,635 2,530,906 1,265,453 3,796,360 1,898,180 949,090 474,545 1,423,636 711,818 355,909 1,067,728 533,864 266,932 133,466 66,733 200,200 100,100 50,050 25,025 75,076 37,538 18,769 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458

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