λ
Sequence Observatory

7,109,751

3 × 11 × 215447
Deficient Odd Composite

Starting at 7,109,751, the Collatz iteration reaches 1 after 160 steps. The first transition is 21329254; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 215447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,341,504
Proper Divisor Sum 3,231,753
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7109747 ← → #7109779

Radix Representation

Decimal 7109751
Binary 11011000111110001110111 (23 bits)
Octal 0o33076167
Hexadecimal 0x6C7C77

Divisor Catalog (8)

1 3 11 33 215,447 646,341 2,369,917 7,109,751

Collatz Trajectory (160 steps to reach 1)

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

7,109,751 21,329,254 10,664,627 31,993,882 15,996,941 47,990,824 23,995,412 11,997,706 5,998,853 17,996,560 8,998,280 4,499,140 2,249,570 1,124,785 3,374,356 1,687,178 843,589 2,530,768 1,265,384 632,692 316,346 158,173 474,520 237,260 118,630 59,315 177,946 88,973 266,920 133,460 66,730 33,365 100,096 50,048 25,024 12,512 6,256 3,128 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214

More profiles

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