λ
Sequence Observatory

1,296,551

1296551
Deficient Odd Prime

Starting at 1,296,551, the Collatz iteration reaches 1 after 204 steps. The first transition is 3889654; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1296551
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,296,552
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1296523 ← → #1296557

Radix Representation

Decimal 1296551
Binary 100111100100010100111 (21 bits)
Octal 0o4744247
Hexadecimal 0x13C8A7

Divisor Catalog (2)

Collatz Trajectory (204 steps to reach 1)

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

1,296,551 3,889,654 1,944,827 5,834,482 2,917,241 8,751,724 4,375,862 2,187,931 6,563,794 3,281,897 9,845,692 4,922,846 2,461,423 7,384,270 3,692,135 11,076,406 5,538,203 16,614,610 8,307,305 24,921,916 12,460,958 6,230,479 18,691,438 9,345,719 28,037,158 14,018,579 42,055,738 21,027,869 63,083,608 31,541,804 15,770,902 7,885,451 23,656,354 11,828,177 35,484,532 17,742,266 8,871,133 26,613,400 13,306,700 6,653,350 3,326,675 9,980,026 4,990,013 14,970,040 7,485,020 3,742,510 1,871,255 5,613,766 2,806,883 8,420,650 4,210,325 12,630,976 6,315,488 3,157,744 1,578,872 789,436 394,718 197,359 592,078 296,039

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