λ
Sequence Observatory

3,111,807

3 × 811 × 1279
Deficient Odd Composite

Starting at 3,111,807, the Collatz iteration reaches 1 after 182 steps. The first transition is 9335422; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 811 × 1279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,157,440
Proper Divisor Sum 1,045,633
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3111803 ← → #3111809

Radix Representation

Decimal 3111807
Binary 1011110111101101111111 (22 bits)
Octal 0o13675577
Hexadecimal 0x2F7B7F

Divisor Catalog (8)

1 3 811 1,279 2,433 3,837 1,037,269 3,111,807

Collatz Trajectory (182 steps to reach 1)

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

3,111,807 9,335,422 4,667,711 14,003,134 7,001,567 21,004,702 10,502,351 31,507,054 15,753,527 47,260,582 23,630,291 70,890,874 35,445,437 106,336,312 53,168,156 26,584,078 13,292,039 39,876,118 19,938,059 59,814,178 29,907,089 89,721,268 44,860,634 22,430,317 67,290,952 33,645,476 16,822,738 8,411,369 25,234,108 12,617,054 6,308,527 18,925,582 9,462,791 28,388,374 14,194,187 42,582,562 21,291,281 63,873,844 31,936,922 15,968,461 47,905,384 23,952,692 11,976,346 5,988,173 17,964,520 8,982,260 4,491,130 2,245,565 6,736,696 3,368,348 1,684,174 842,087 2,526,262 1,263,131 3,789,394 1,894,697 5,684,092 2,842,046 1,421,023 4,263,070

More profiles

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