λ
Sequence Observatory

2,203,985

5 × 7 × 62971
Deficient Odd Composite

Starting at 2,203,985, the Collatz iteration reaches 1 after 117 steps. The first transition is 6611956; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 62971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,022,656
Proper Divisor Sum 818,671
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2203973 ← → #2203997

Radix Representation

Decimal 2203985
Binary 1000011010000101010001 (22 bits)
Octal 0o10320521
Hexadecimal 0x21A151

Divisor Catalog (8)

1 5 7 35 62,971 314,855 440,797 2,203,985

Collatz Trajectory (117 steps to reach 1)

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

2,203,985 6,611,956 3,305,978 1,652,989 4,958,968 2,479,484 1,239,742 619,871 1,859,614 929,807 2,789,422 1,394,711 4,184,134 2,092,067 6,276,202 3,138,101 9,414,304 4,707,152 2,353,576 1,176,788 588,394 294,197 882,592 441,296 220,648 110,324 55,162 27,581 82,744 41,372 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981

More profiles

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