λ
Sequence Observatory

6,205,969

7 × 112 × 17 × 431
Deficient Odd Composite

Starting at 6,205,969, the Collatz iteration reaches 1 after 77 steps. The first transition is 18617908; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 11^2 × 17 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,273,664
Proper Divisor Sum 2,067,695
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6205967 ← → #6206017

Radix Representation

Decimal 6205969
Binary 10111101011001000010001 (23 bits)
Octal 0o27531021
Hexadecimal 0x5EB211

Divisor Catalog (24)

1 7 11 17 77 119 121 187 431 847 1,309 2,057 3,017 4,741 7,327 14,399 33,187 51,289 52,151 80,597 365,057 564,179 886,567 6,205,969

Collatz Trajectory (77 steps to reach 1)

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

6,205,969 18,617,908 9,308,954 4,654,477 13,963,432 6,981,716 3,490,858 1,745,429 5,236,288 2,618,144 1,309,072 654,536 327,268 163,634 81,817 245,452 122,726 61,363 184,090 92,045 276,136 138,068 69,034 34,517 103,552 51,776 25,888 12,944 6,472 3,236 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

More profiles

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