λ
Sequence Observatory

8,067,484

22 × 349 × 5779
Deficient Even Composite

Starting at 8,067,484, the Collatz iteration reaches 1 after 199 steps. The first transition is 4033742; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 349 × 5779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,161,000
Proper Divisor Sum 6,093,516
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8067467 ← → #8067491

Radix Representation

Decimal 8067484
Binary 11110110001100110011100 (23 bits)
Octal 0o36614634
Hexadecimal 0x7B199C

Divisor Catalog (12)

1 2 4 349 698 1,396 5,779 11,558 23,116 2,016,871 4,033,742 8,067,484

Collatz Trajectory (199 steps to reach 1)

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

8,067,484 4,033,742 2,016,871 6,050,614 3,025,307 9,075,922 4,537,961 13,613,884 6,806,942 3,403,471 10,210,414 5,105,207 15,315,622 7,657,811 22,973,434 11,486,717 34,460,152 17,230,076 8,615,038 4,307,519 12,922,558 6,461,279 19,383,838 9,691,919 29,075,758 14,537,879 43,613,638 21,806,819 65,420,458 32,710,229 98,130,688 49,065,344 24,532,672 12,266,336 6,133,168 3,066,584 1,533,292 766,646 383,323 1,149,970 574,985 1,724,956 862,478 431,239 1,293,718 646,859 1,940,578 970,289 2,910,868 1,455,434 727,717 2,183,152 1,091,576 545,788 272,894 136,447 409,342 204,671 614,014 307,007

More profiles

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