λ
Sequence Observatory

8,327,289

3 × 1451 × 1913
Deficient Odd Composite

Starting at 8,327,289, the Collatz iteration reaches 1 after 186 steps. The first transition is 24981868; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1451 × 1913
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,116,512
Proper Divisor Sum 2,789,223
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8327287 ← → #8327299

Radix Representation

Decimal 8327289
Binary 11111110001000001111001 (23 bits)
Octal 0o37610171
Hexadecimal 0x7F1079

Divisor Catalog (8)

1 3 1,451 1,913 4,353 5,739 2,775,763 8,327,289

Collatz Trajectory (186 steps to reach 1)

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

8,327,289 24,981,868 12,490,934 6,245,467 18,736,402 9,368,201 28,104,604 14,052,302 7,026,151 21,078,454 10,539,227 31,617,682 15,808,841 47,426,524 23,713,262 11,856,631 35,569,894 17,784,947 53,354,842 26,677,421 80,032,264 40,016,132 20,008,066 10,004,033 30,012,100 15,006,050 7,503,025 22,509,076 11,254,538 5,627,269 16,881,808 8,440,904 4,220,452 2,110,226 1,055,113 3,165,340 1,582,670 791,335 2,374,006 1,187,003 3,561,010 1,780,505 5,341,516 2,670,758 1,335,379 4,006,138 2,003,069 6,009,208 3,004,604 1,502,302 751,151 2,253,454 1,126,727 3,380,182 1,690,091 5,070,274 2,535,137 7,605,412 3,802,706 1,901,353

More profiles

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