λ
Sequence Observatory

1,258,993

1258993
Deficient Odd Prime

Starting at 1,258,993, the Collatz iteration reaches 1 after 54 steps. The first transition is 3776980; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1258993
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,258,994
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1258973 ← → #1259017

Radix Representation

Decimal 1258993
Binary 100110011010111110001 (21 bits)
Octal 0o4632761
Hexadecimal 0x1335F1

Divisor Catalog (2)

1 1,258,993

Collatz Trajectory (54 steps to reach 1)

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

1,258,993 3,776,980 1,888,490 944,245 2,832,736 1,416,368 708,184 354,092 177,046 88,523 265,570 132,785 398,356 199,178 99,589 298,768 149,384 74,692 37,346 18,673 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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