λ
Sequence Observatory

8,917,691

8917691
Deficient Odd Prime

Starting at 8,917,691, the Collatz iteration reaches 1 after 181 steps. The first transition is 26753074; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8917691
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,917,692
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8917681 ← → #8917693

Radix Representation

Decimal 8917691
Binary 100010000001001010111011 (24 bits)
Octal 0o42011273
Hexadecimal 0x8812BB

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

8,917,691 26,753,074 13,376,537 40,129,612 20,064,806 10,032,403 30,097,210 15,048,605 45,145,816 22,572,908 11,286,454 5,643,227 16,929,682 8,464,841 25,394,524 12,697,262 6,348,631 19,045,894 9,522,947 28,568,842 14,284,421 42,853,264 21,426,632 10,713,316 5,356,658 2,678,329 8,034,988 4,017,494 2,008,747 6,026,242 3,013,121 9,039,364 4,519,682 2,259,841 6,779,524 3,389,762 1,694,881 5,084,644 2,542,322 1,271,161 3,813,484 1,906,742 953,371 2,860,114 1,430,057 4,290,172 2,145,086 1,072,543 3,217,630 1,608,815 4,826,446 2,413,223 7,239,670 3,619,835 10,859,506 5,429,753 16,289,260 8,144,630 4,072,315 12,216,946

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