λ
Sequence Observatory

1,637,949

3 × 29 × 67 × 281
Deficient Odd Composite

Starting at 1,637,949, the Collatz iteration reaches 1 after 176 steps. The first transition is 4913848; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 67 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,301,120
Proper Divisor Sum 663,171
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1637927 ← → #1637963

Radix Representation

Decimal 1637949
Binary 110001111111000111101 (21 bits)
Octal 0o6177075
Hexadecimal 0x18FE3D

Divisor Catalog (16)

1 3 29 67 87 201 281 843 1,943 5,829 8,149 18,827 24,447 56,481 545,983 1,637,949

Collatz Trajectory (176 steps to reach 1)

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

1,637,949 4,913,848 2,456,924 1,228,462 614,231 1,842,694 921,347 2,764,042 1,382,021 4,146,064 2,073,032 1,036,516 518,258 259,129 777,388 388,694 194,347 583,042 291,521 874,564 437,282 218,641 655,924 327,962 163,981 491,944 245,972 122,986 61,493 184,480 92,240 46,120 23,060 11,530 5,765 17,296 8,648 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290

More profiles

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