λ
Sequence Observatory

8,082,879

3 × 7 × 151 × 2549
Deficient Odd Composite

Starting at 8,082,879, the Collatz iteration reaches 1 after 217 steps. The first transition is 24248638; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 151 × 2549
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,403,200
Proper Divisor Sum 4,320,321
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8082869 ← → #8082881

Radix Representation

Decimal 8082879
Binary 11110110101010110111111 (23 bits)
Octal 0o36652677
Hexadecimal 0x7B55BF

Divisor Catalog (16)

1 3 7 21 151 453 1,057 2,549 3,171 7,647 17,843 53,529 384,899 1,154,697 2,694,293 8,082,879

Collatz Trajectory (217 steps to reach 1)

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

8,082,879 24,248,638 12,124,319 36,372,958 18,186,479 54,559,438 27,279,719 81,839,158 40,919,579 122,758,738 61,379,369 184,138,108 92,069,054 46,034,527 138,103,582 69,051,791 207,155,374 103,577,687 310,733,062 155,366,531 466,099,594 233,049,797 699,149,392 349,574,696 174,787,348 87,393,674 43,696,837 131,090,512 65,545,256 32,772,628 16,386,314 8,193,157 24,579,472 12,289,736 6,144,868 3,072,434 1,536,217 4,608,652 2,304,326 1,152,163 3,456,490 1,728,245 5,184,736 2,592,368 1,296,184 648,092 324,046 162,023 486,070 243,035 729,106 364,553 1,093,660 546,830 273,415 820,246 410,123 1,230,370 615,185 1,845,556

More profiles

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