λ
Sequence Observatory

7,862,801

7862801
Deficient Odd Prime

Starting at 7,862,801, the Collatz iteration reaches 1 after 67 steps. The first transition is 23588404; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7862801
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,862,802
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7862797 ← → #7862819

Radix Representation

Decimal 7862801
Binary 11101111111101000010001 (23 bits)
Octal 0o35775021
Hexadecimal 0x77FA11

Divisor Catalog (2)

Collatz Trajectory (67 steps to reach 1)

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

7,862,801 23,588,404 11,794,202 5,897,101 17,691,304 8,845,652 4,422,826 2,211,413 6,634,240 3,317,120 1,658,560 829,280 414,640 207,320 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

More profiles

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