λ
Sequence Observatory

8,085,291

3 × 1033 × 2609
Deficient Odd Composite

Starting at 8,085,291, the Collatz iteration reaches 1 after 124 steps. The first transition is 24255874; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1033 × 2609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,794,960
Proper Divisor Sum 2,709,669
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8085281 ← → #8085307

Radix Representation

Decimal 8085291
Binary 11110110101111100101011 (23 bits)
Octal 0o36657453
Hexadecimal 0x7B5F2B

Divisor Catalog (8)

1 3 1,033 2,609 3,099 7,827 2,695,097 8,085,291

Collatz Trajectory (124 steps to reach 1)

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

8,085,291 24,255,874 12,127,937 36,383,812 18,191,906 9,095,953 27,287,860 13,643,930 6,821,965 20,465,896 10,232,948 5,116,474 2,558,237 7,674,712 3,837,356 1,918,678 959,339 2,878,018 1,439,009 4,317,028 2,158,514 1,079,257 3,237,772 1,618,886 809,443 2,428,330 1,214,165 3,642,496 1,821,248 910,624 455,312 227,656 113,828 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549

More profiles

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