λ
Sequence Observatory

8,012,511

32 × 13 × 68483
Deficient Odd Composite

Starting at 8,012,511, the Collatz iteration reaches 1 after 116 steps. The first transition is 24037534; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 68483
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,464,088
Proper Divisor Sum 4,451,577
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8012483 ← → #8012519

Radix Representation

Decimal 8012511
Binary 11110100100001011011111 (23 bits)
Octal 0o36441337
Hexadecimal 0x7A42DF

Divisor Catalog (12)

1 3 9 13 39 117 68,483 205,449 616,347 890,279 2,670,837 8,012,511

Collatz Trajectory (116 steps to reach 1)

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

8,012,511 24,037,534 12,018,767 36,056,302 18,028,151 54,084,454 27,042,227 81,126,682 40,563,341 121,690,024 60,845,012 30,422,506 15,211,253 45,633,760 22,816,880 11,408,440 5,704,220 2,852,110 1,426,055 4,278,166 2,139,083 6,417,250 3,208,625 9,625,876 4,812,938 2,406,469 7,219,408 3,609,704 1,804,852 902,426 451,213 1,353,640 676,820 338,410 169,205 507,616 253,808 126,904 63,452 31,726 15,863 47,590 23,795 71,386 35,693 107,080 53,540 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471

More profiles

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