λ
Sequence Observatory

6,008,827

11 × 167 × 3271
Deficient Odd Composite

Starting at 6,008,827, the Collatz iteration reaches 1 after 196 steps. The first transition is 18026482; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 167 × 3271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,596,352
Proper Divisor Sum 587,525
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6008813 ← → #6008833

Radix Representation

Decimal 6008827
Binary 10110111010111111111011 (23 bits)
Octal 0o26727773
Hexadecimal 0x5BAFFB

Divisor Catalog (8)

1 11 167 1,837 3,271 35,981 546,257 6,008,827

Collatz Trajectory (196 steps to reach 1)

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

6,008,827 18,026,482 9,013,241 27,039,724 13,519,862 6,759,931 20,279,794 10,139,897 30,419,692 15,209,846 7,604,923 22,814,770 11,407,385 34,222,156 17,111,078 8,555,539 25,666,618 12,833,309 38,499,928 19,249,964 9,624,982 4,812,491 14,437,474 7,218,737 21,656,212 10,828,106 5,414,053 16,242,160 8,121,080 4,060,540 2,030,270 1,015,135 3,045,406 1,522,703 4,568,110 2,284,055 6,852,166 3,426,083 10,278,250 5,139,125 15,417,376 7,708,688 3,854,344 1,927,172 963,586 481,793 1,445,380 722,690 361,345 1,084,036 542,018 271,009 813,028 406,514 203,257 609,772 304,886 152,443 457,330 228,665

More profiles

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