λ
Sequence Observatory

8,260,435

5 × 37 × 44651
Deficient Odd Composite

Starting at 8,260,435, the Collatz iteration reaches 1 after 199 steps. The first transition is 24781306; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 44651
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,180,656
Proper Divisor Sum 1,920,221
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8260433 ← → #8260457

Radix Representation

Decimal 8260435
Binary 11111100000101101010011 (23 bits)
Octal 0o37405523
Hexadecimal 0x7E0B53

Divisor Catalog (8)

1 5 37 185 44,651 223,255 1,652,087 8,260,435

Collatz Trajectory (199 steps to reach 1)

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

8,260,435 24,781,306 12,390,653 37,171,960 18,585,980 9,292,990 4,646,495 13,939,486 6,969,743 20,909,230 10,454,615 31,363,846 15,681,923 47,045,770 23,522,885 70,568,656 35,284,328 17,642,164 8,821,082 4,410,541 13,231,624 6,615,812 3,307,906 1,653,953 4,961,860 2,480,930 1,240,465 3,721,396 1,860,698 930,349 2,791,048 1,395,524 697,762 348,881 1,046,644 523,322 261,661 784,984 392,492 196,246 98,123 294,370 147,185 441,556 220,778 110,389 331,168 165,584 82,792 41,396 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734

More profiles

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