2461
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2592
- Proper Divisor Sum (Aliquot Sum)
- 131
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2332
- Möbius Function
- 1
- Radical
- 2461
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of terms in a symmetrical determinant: a(n) = n*a(n-1) - (n-1)*(n-2)*a(n-3)/2.at n=7A002135
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=40A005448
- Coloring a circuit with 4 colors.at n=8A006342
- Coordination sequence T2 for Zeolite Code AFY.at n=41A008030
- Coordination sequence T1 for Zeolite Code MOR.at n=32A008182
- Coordination sequence T3 for Zeolite Code CON.at n=35A009870
- Coordination sequence T7 for Zeolite Code CON.at n=35A009874
- Numbers n such that phi(n + 9) | sigma(n) for n not congruent to 0 (mod 3).at n=42A015849
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=0A020431
- Fibonacci sequence beginning 5, 14.at n=12A022139
- Numbers n such that in n^3 the parity of digits alternates.at n=21A030159
- Positions of records in A030717.at n=49A030722
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=2A031808
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=7A031899
- Numbers whose set of base-9 digits is {3,4}.at n=15A032833
- Fractional part of square root of a(n) starts with 6: first term of runs.at n=47A034112
- a(n) = ceiling((n + 1/2)^3).at n=12A034131
- Multiplicity of highest weight (or singular) vectors associated with character chi_121 of Monster module.at n=35A034509
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 3).at n=39A035537
- Digit sum of composite odd number equals digit sum of juxtaposition of its prime factors (counted with multiplicity).at n=42A036925