5267
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5520
- Proper Divisor Sum (Aliquot Sum)
- 253
- 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
- 5016
- Möbius Function
- 1
- Radical
- 5267
- 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
- 41
- Smith Number
- no
- 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
- Coordination sequence T5 for Zeolite Code MFI.at n=46A008168
- Coordination sequence T4 for Zeolite Code NON.at n=44A008215
- Powers of fifth root of 3 rounded to nearest integer.at n=39A018121
- Powers of fifth root of 3 rounded up.at n=39A018122
- Number of partitions of n that do not contain 7 as a part.at n=31A027341
- Numbers k such that k^2 is palindromic in base 8.at n=34A029805
- Decimal part of n-th root of a(n) starts with digit 2.at n=45A034079
- Number of partitions satisfying 0 < cn(2,5) + cn(3,5).at n=30A039897
- Numbers having three 2's in base 8.at n=36A043431
- Numbers k such that 181*2^k-1 is prime.at n=33A050842
- Engel expansion of Sum_{k>=0} 1/(2 + k)^k.at n=9A063185
- Composite numbers k such that the continued fraction for k/m contains no 2 for any 1 <= m <= k.at n=19A082409
- Semiprimes k=p*q such that the polynomial (1+x)^k (mod k) has p+q nonzero terms.at n=29A116926
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 0110-1111-0110 pattern in any orientation.at n=23A146922
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=5, k=1 and l=-1.at n=6A176832
- Number of ordered triples (w,x,y) with all terms in {-n,...,-1,1,...,n} and w+3x+3y>0.at n=11A211625
- Shifts 10 places left under Euler transform with a(0)=0 and a(n)=1 for n<10.at n=35A218027
- Number of partitions of n such that no part is a sum of two other parts.at n=40A236912
- Number of strict partitions of 2n having an ordering of the parts in which no two neighboring parts have the same parity.at n=30A239882
- Number of partitions p of n such that the multiplicity of 2*min(p) is a part.at n=34A240496