λ
Integer Codex

8,694,608

24 × 13 × 41801
Abundant Even Composite

For 8,694,608, the 20 positive divisors have a total of 18,142,068. Removing 8,694,608 leaves 9,447,460, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 13 × 41801
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,142,068
Proper Divisor Sum 9,447,460
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8694607 ← → #8694613

Radix Representation

Decimal 8694608
Binary 100001001010101101010000 (24 bits)
Octal 0o41125520
Hexadecimal 0x84AB50

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 41,801 83,602 167,204 334,408 543,413 668,816 1,086,826 2,173,652 4,347,304 8,694,608

Collatz Trajectory (119 steps to reach 1)

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

8,694,608 4,347,304 2,173,652 1,086,826 543,413 1,630,240 815,120 407,560 203,780 101,890 50,945 152,836 76,418 38,209 114,628 57,314 28,657 85,972 42,986 21,493 64,480 32,240 16,120 8,060 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534

More profiles

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