λ
Sequence Observatory

6,391,131

3 × 1051 × 2027
Deficient Odd Composite

Starting at 6,391,131, the Collatz iteration reaches 1 after 121 steps. The first transition is 19173394; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1051 × 2027
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,533,824
Proper Divisor Sum 2,142,693
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6391129 ← → #6391157

Radix Representation

Decimal 6391131
Binary 11000011000010101011011 (23 bits)
Octal 0o30302533
Hexadecimal 0x61855B

Divisor Catalog (8)

1 3 1,051 2,027 3,153 6,081 2,130,377 6,391,131

Collatz Trajectory (121 steps to reach 1)

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

6,391,131 19,173,394 9,586,697 28,760,092 14,380,046 7,190,023 21,570,070 10,785,035 32,355,106 16,177,553 48,532,660 24,266,330 12,133,165 36,399,496 18,199,748 9,099,874 4,549,937 13,649,812 6,824,906 3,412,453 10,237,360 5,118,680 2,559,340 1,279,670 639,835 1,919,506 959,753 2,879,260 1,439,630 719,815 2,159,446 1,079,723 3,239,170 1,619,585 4,858,756 2,429,378 1,214,689 3,644,068 1,822,034 911,017 2,733,052 1,366,526 683,263 2,049,790 1,024,895 3,074,686 1,537,343 4,612,030 2,306,015 6,918,046 3,459,023 10,377,070 5,188,535 15,565,606 7,782,803 23,348,410 11,674,205 35,022,616 17,511,308 8,755,654

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