λ
Sequence Observatory

8,734,682

2 × 11 × 101 × 3931
Deficient Even Composite

Starting at 8,734,682, the Collatz iteration reaches 1 after 137 steps. The first transition is 4367341; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 101 × 3931
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,438,304
Proper Divisor Sum 5,703,622
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8734643 ← → #8734697

Radix Representation

Decimal 8734682
Binary 100001010100011111011010 (24 bits)
Octal 0o41243732
Hexadecimal 0x8547DA

Divisor Catalog (16)

1 2 11 22 101 202 1,111 2,222 3,931 7,862 43,241 86,482 397,031 794,062 4,367,341 8,734,682

Collatz Trajectory (137 steps to reach 1)

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

8,734,682 4,367,341 13,102,024 6,551,012 3,275,506 1,637,753 4,913,260 2,456,630 1,228,315 3,684,946 1,842,473 5,527,420 2,763,710 1,381,855 4,145,566 2,072,783 6,218,350 3,109,175 9,327,526 4,663,763 13,991,290 6,995,645 20,986,936 10,493,468 5,246,734 2,623,367 7,870,102 3,935,051 11,805,154 5,902,577 17,707,732 8,853,866 4,426,933 13,280,800 6,640,400 3,320,200 1,660,100 830,050 415,025 1,245,076 622,538 311,269 933,808 466,904 233,452 116,726 58,363 175,090 87,545 262,636 131,318 65,659 196,978 98,489 295,468 147,734 73,867 221,602 110,801 332,404

More profiles

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