4261
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
- 2
- Divisor Sum
- 4262
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4260
- Möbius Function
- -1
- Radical
- 4261
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 77
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 585
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form 2*k^2 + 29.at n=40A007641
- Smallest odd number expressible in at least n ways as p+2*m^2 where p is 1 or a prime and m >= 0.at n=33A007697
- Coordination sequence for Paracelsian.at n=44A008260
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=38A017845
- Numbers n such that n is a substring of its square when both are written in base 2.at n=42A018826
- Numbers n such that n is a substring of its square (both n and n squared in base 4) (written in base 10).at n=21A018828
- Discriminants of quintic fields with 4 complex conjugates.at n=15A023685
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=40A024809
- In base 11, a(n) = sum of digits of Lucas(a(n)).at n=36A025491
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=7A031812
- Lower prime of a difference of 10 between consecutive primes.at n=56A031928
- Numbers with exactly five distinct base-8 digits.at n=5A031985
- Primes of form x^2+95*y^2.at n=30A033206
- Primes p such that both p-2 and 2p-1 are prime.at n=29A038869
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=32A039894
- Denominators of continued fraction convergents to sqrt(73).at n=9A041129
- Denominators of continued fraction convergents to sqrt(292).at n=7A041549
- Denominators of continued fraction convergents to sqrt(657).at n=11A042263
- Numbers n such that prime(n) - sigma(n) - phi(n) = prime(n+1) - sigma(n+1) - phi(n+1), where sigma(n) = sum of divisors of n.at n=41A048783
- Recip transform of 2*(1 + x^6)-1/(1-x).at n=7A049160