λ
Sequence Observatory

6,091,113

3 × 7 × 23 × 12611
Deficient Odd Composite

Starting at 6,091,113, the Collatz iteration reaches 1 after 227 steps. The first transition is 18273340; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 12611
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,686,016
Proper Divisor Sum 3,594,903
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6091109 ← → #6091207

Radix Representation

Decimal 6091113
Binary 10111001111000101101001 (23 bits)
Octal 0o27170551
Hexadecimal 0x5CF169

Divisor Catalog (16)

1 3 7 21 23 69 161 483 12,611 37,833 88,277 264,831 290,053 870,159 2,030,371 6,091,113

Collatz Trajectory (227 steps to reach 1)

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

6,091,113 18,273,340 9,136,670 4,568,335 13,705,006 6,852,503 20,557,510 10,278,755 30,836,266 15,418,133 46,254,400 23,127,200 11,563,600 5,781,800 2,890,900 1,445,450 722,725 2,168,176 1,084,088 542,044 271,022 135,511 406,534 203,267 609,802 304,901 914,704 457,352 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821

More profiles

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