λ
Sequence Observatory

6,949,689

3 × 557 × 4159
Deficient Odd Composite

Starting at 6,949,689, the Collatz iteration reaches 1 after 222 steps. The first transition is 20849068; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 557 × 4159
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,285,120
Proper Divisor Sum 2,335,431
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #6949661 ← → #6949697

Radix Representation

Decimal 6949689
Binary 11010100000101100111001 (23 bits)
Octal 0o32405471
Hexadecimal 0x6A0B39

Divisor Catalog (8)

1 3 557 1,671 4,159 12,477 2,316,563 6,949,689

Collatz Trajectory (222 steps to reach 1)

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

6,949,689 20,849,068 10,424,534 5,212,267 15,636,802 7,818,401 23,455,204 11,727,602 5,863,801 17,591,404 8,795,702 4,397,851 13,193,554 6,596,777 19,790,332 9,895,166 4,947,583 14,842,750 7,421,375 22,264,126 11,132,063 33,396,190 16,698,095 50,094,286 25,047,143 75,141,430 37,570,715 112,712,146 56,356,073 169,068,220 84,534,110 42,267,055 126,801,166 63,400,583 190,201,750 95,100,875 285,302,626 142,651,313 427,953,940 213,976,970 106,988,485 320,965,456 160,482,728 80,241,364 40,120,682 20,060,341 60,181,024 30,090,512 15,045,256 7,522,628 3,761,314 1,880,657 5,641,972 2,820,986 1,410,493 4,231,480 2,115,740 1,057,870 528,935 1,586,806

More profiles

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