λ
Sequence Observatory

5,078,469

3 × 11 × 23 × 6691
Deficient Odd Composite

Starting at 5,078,469, the Collatz iteration reaches 1 after 131 steps. The first transition is 15235408; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 23 × 6691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,709,184
Proper Divisor Sum 2,630,715
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5078459 ← → #5078501

Radix Representation

Decimal 5078469
Binary 10011010111110111000101 (23 bits)
Octal 0o23276705
Hexadecimal 0x4D7DC5

Divisor Catalog (16)

1 3 11 23 33 69 253 759 6,691 20,073 73,601 153,893 220,803 461,679 1,692,823 5,078,469

Collatz Trajectory (131 steps to reach 1)

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

5,078,469 15,235,408 7,617,704 3,808,852 1,904,426 952,213 2,856,640 1,428,320 714,160 357,080 178,540 89,270 44,635 133,906 66,953 200,860 100,430 50,215 150,646 75,323 225,970 112,985 338,956 169,478 84,739 254,218 127,109 381,328 190,664 95,332 47,666 23,833 71,500 35,750 17,875 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218

More profiles

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