λ
Sequence Observatory

6,015,944

23 × 11 × 137 × 499
Abundant Even Composite

Starting at 6,015,944, the Collatz iteration reaches 1 after 271 steps. The first transition is 3007972; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 137 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,420,000
Proper Divisor Sum 6,404,056
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6015931 ← → #6015967

Radix Representation

Decimal 6015944
Binary 10110111100101111001000 (23 bits)
Octal 0o26745710
Hexadecimal 0x5BCBC8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 137 274 499 548 998 1,096 1,507 1,996 3,014 3,992 5,489 6,028 10,978 12,056 21,956 43,912 68,363 136,726 273,452 546,904 751,993 1,503,986 3,007,972 6,015,944

Collatz Trajectory (271 steps to reach 1)

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

6,015,944 3,007,972 1,503,986 751,993 2,255,980 1,127,990 563,995 1,691,986 845,993 2,537,980 1,268,990 634,495 1,903,486 951,743 2,855,230 1,427,615 4,282,846 2,141,423 6,424,270 3,212,135 9,636,406 4,818,203 14,454,610 7,227,305 21,681,916 10,840,958 5,420,479 16,261,438 8,130,719 24,392,158 12,196,079 36,588,238 18,294,119 54,882,358 27,441,179 82,323,538 41,161,769 123,485,308 61,742,654 30,871,327 92,613,982 46,306,991 138,920,974 69,460,487 208,381,462 104,190,731 312,572,194 156,286,097 468,858,292 234,429,146 117,214,573 351,643,720 175,821,860 87,910,930 43,955,465 131,866,396 65,933,198 32,966,599 98,899,798 49,449,899

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