λ
Sequence Observatory

8,110,807

29 × 37 × 7559
Deficient Odd Composite

Starting at 8,110,807, the Collatz iteration reaches 1 after 93 steps. The first transition is 24332422; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 37 × 7559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,618,400
Proper Divisor Sum 507,593
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8110793 ← → #8110813

Radix Representation

Decimal 8110807
Binary 11110111100001011010111 (23 bits)
Octal 0o36741327
Hexadecimal 0x7BC2D7

Divisor Catalog (8)

1 29 37 1,073 7,559 219,211 279,683 8,110,807

Collatz Trajectory (93 steps to reach 1)

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

8,110,807 24,332,422 12,166,211 36,498,634 18,249,317 54,747,952 27,373,976 13,686,988 6,843,494 3,421,747 10,265,242 5,132,621 15,397,864 7,698,932 3,849,466 1,924,733 5,774,200 2,887,100 1,443,550 721,775 2,165,326 1,082,663 3,247,990 1,623,995 4,871,986 2,435,993 7,307,980 3,653,990 1,826,995 5,480,986 2,740,493 8,221,480 4,110,740 2,055,370 1,027,685 3,083,056 1,541,528 770,764 385,382 192,691 578,074 289,037 867,112 433,556 216,778 108,389 325,168 162,584 81,292 40,646 20,323 60,970 30,485 91,456 45,728 22,864 11,432 5,716 2,858 1,429

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