λ
Sequence Observatory

2,947,151

23 × 97 × 1321
Deficient Odd Composite

Starting at 2,947,151, the Collatz iteration reaches 1 after 244 steps. The first transition is 8841454; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 97 × 1321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,109,344
Proper Divisor Sum 162,193
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2947127 ← → #2947157

Radix Representation

Decimal 2947151
Binary 1011001111100001001111 (22 bits)
Octal 0o13174117
Hexadecimal 0x2CF84F

Divisor Catalog (8)

1 23 97 1,321 2,231 30,383 128,137 2,947,151

Collatz Trajectory (244 steps to reach 1)

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

2,947,151 8,841,454 4,420,727 13,262,182 6,631,091 19,893,274 9,946,637 29,839,912 14,919,956 7,459,978 3,729,989 11,189,968 5,594,984 2,797,492 1,398,746 699,373 2,098,120 1,049,060 524,530 262,265 786,796 393,398 196,699 590,098 295,049 885,148 442,574 221,287 663,862 331,931 995,794 497,897 1,493,692 746,846 373,423 1,120,270 560,135 1,680,406 840,203 2,520,610 1,260,305 3,780,916 1,890,458 945,229 2,835,688 1,417,844 708,922 354,461 1,063,384 531,692 265,846 132,923 398,770 199,385 598,156 299,078 149,539 448,618 224,309 672,928

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