λ
Sequence Observatory

6,159,728

24 × 367 × 1049
Deficient Even Composite

Starting at 6,159,728, the Collatz iteration reaches 1 after 227 steps. The first transition is 3079864; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 367 × 1049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,978,400
Proper Divisor Sum 5,818,672
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6159721 ← → #6159757

Radix Representation

Decimal 6159728
Binary 10111011111110101110000 (23 bits)
Octal 0o27376560
Hexadecimal 0x5DFD70

Divisor Catalog (20)

1 2 4 8 16 367 734 1,049 1,468 2,098 2,936 4,196 5,872 8,392 16,784 384,983 769,966 1,539,932 3,079,864 6,159,728

Collatz Trajectory (227 steps to reach 1)

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

6,159,728 3,079,864 1,539,932 769,966 384,983 1,154,950 577,475 1,732,426 866,213 2,598,640 1,299,320 649,660 324,830 162,415 487,246 243,623 730,870 365,435 1,096,306 548,153 1,644,460 822,230 411,115 1,233,346 616,673 1,850,020 925,010 462,505 1,387,516 693,758 346,879 1,040,638 520,319 1,560,958 780,479 2,341,438 1,170,719 3,512,158 1,756,079 5,268,238 2,634,119 7,902,358 3,951,179 11,853,538 5,926,769 17,780,308 8,890,154 4,445,077 13,335,232 6,667,616 3,333,808 1,666,904 833,452 416,726 208,363 625,090 312,545 937,636 468,818 234,409

More profiles

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