λ
Sequence Observatory

8,719,685

5 × 13 × 163 × 823
Deficient Odd Composite

Starting at 8,719,685, the Collatz iteration reaches 1 after 212 steps. The first transition is 26159056; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 163 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,351,424
Proper Divisor Sum 2,631,739
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8719681 ← → #8719699

Radix Representation

Decimal 8719685
Binary 100001010000110101000101 (24 bits)
Octal 0o41206505
Hexadecimal 0x850D45

Divisor Catalog (16)

1 5 13 65 163 815 823 2,119 4,115 10,595 10,699 53,495 134,149 670,745 1,743,937 8,719,685

Collatz Trajectory (212 steps to reach 1)

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

8,719,685 26,159,056 13,079,528 6,539,764 3,269,882 1,634,941 4,904,824 2,452,412 1,226,206 613,103 1,839,310 919,655 2,758,966 1,379,483 4,138,450 2,069,225 6,207,676 3,103,838 1,551,919 4,655,758 2,327,879 6,983,638 3,491,819 10,475,458 5,237,729 15,713,188 7,856,594 3,928,297 11,784,892 5,892,446 2,946,223 8,838,670 4,419,335 13,258,006 6,629,003 19,887,010 9,943,505 29,830,516 14,915,258 7,457,629 22,372,888 11,186,444 5,593,222 2,796,611 8,389,834 4,194,917 12,584,752 6,292,376 3,146,188 1,573,094 786,547 2,359,642 1,179,821 3,539,464 1,769,732 884,866 442,433 1,327,300 663,650 331,825

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