λ
Sequence Observatory

8,178,969

3 × 673 × 4051
Deficient Odd Composite

Starting at 8,178,969, the Collatz iteration reaches 1 after 93 steps. The first transition is 24536908; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 673 × 4051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,924,192
Proper Divisor Sum 2,745,223
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8178959 ← → #8178977

Radix Representation

Decimal 8178969
Binary 11111001100110100011001 (23 bits)
Octal 0o37146431
Hexadecimal 0x7CCD19

Divisor Catalog (8)

1 3 673 2,019 4,051 12,153 2,726,323 8,178,969

Collatz Trajectory (93 steps to reach 1)

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

8,178,969 24,536,908 12,268,454 6,134,227 18,402,682 9,201,341 27,604,024 13,802,012 6,901,006 3,450,503 10,351,510 5,175,755 15,527,266 7,763,633 23,290,900 11,645,450 5,822,725 17,468,176 8,734,088 4,367,044 2,183,522 1,091,761 3,275,284 1,637,642 818,821 2,456,464 1,228,232 614,116 307,058 153,529 460,588 230,294 115,147 345,442 172,721 518,164 259,082 129,541 388,624 194,312 97,156 48,578 24,289 72,868 36,434 18,217 54,652 27,326 13,663 40,990 20,495 61,486 30,743 92,230 46,115 138,346 69,173 207,520 103,760 51,880

More profiles

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