λ
Sequence Observatory

6,946,481

821 × 8461
Deficient Odd Composite

Starting at 6,946,481, the Collatz iteration reaches 1 after 72 steps. The first transition is 20839444; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 821 × 8461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,955,764
Proper Divisor Sum 9,283
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6946463 ← → #6946487

Radix Representation

Decimal 6946481
Binary 11010011111111010110001 (23 bits)
Octal 0o32377261
Hexadecimal 0x69FEB1

Divisor Catalog (4)

1 821 8,461 6,946,481

Collatz Trajectory (72 steps to reach 1)

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

6,946,481 20,839,444 10,419,722 5,209,861 15,629,584 7,814,792 3,907,396 1,953,698 976,849 2,930,548 1,465,274 732,637 2,197,912 1,098,956 549,478 274,739 824,218 412,109 1,236,328 618,164 309,082 154,541 463,624 231,812 115,906 57,953 173,860 86,930 43,465 130,396 65,198 32,599 97,798 48,899 146,698 73,349 220,048 110,024 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34

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