λ
Sequence Observatory

2,622,675

3 × 52 × 112 × 172
Deficient Odd Composite

Starting at 2,622,675, the Collatz iteration reaches 1 after 125 steps. The first transition is 7868026; the starting value is odd with 54 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 11^2 × 17^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 5,063,044
Proper Divisor Sum 2,440,369
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2622637 ← → #2622679

Radix Representation

Decimal 2622675
Binary 1010000000010011010011 (22 bits)
Octal 0o12002323
Hexadecimal 0x2804D3

Divisor Catalog (54)

1 3 5 11 15 17 25 33 51 55 75 85 121 165 187 255 275 289 363 425 561 605 825 867 935 1,275 1,445 1,815 2,057 2,805 3,025 3,179 4,335 4,675 6,171 7,225 9,075 9,537 10,285 14,025 15,895 21,675 30,855 34,969 47,685 51,425 79,475 104,907 154,275 174,845 238,425 524,535 874,225 2,622,675

Collatz Trajectory (125 steps to reach 1)

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

2,622,675 7,868,026 3,934,013 11,802,040 5,901,020 2,950,510 1,475,255 4,425,766 2,212,883 6,638,650 3,319,325 9,957,976 4,978,988 2,489,494 1,244,747 3,734,242 1,867,121 5,601,364 2,800,682 1,400,341 4,201,024 2,100,512 1,050,256 525,128 262,564 131,282 65,641 196,924 98,462 49,231 147,694 73,847 221,542 110,771 332,314 166,157 498,472 249,236 124,618 62,309 186,928 93,464 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774

More profiles

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