9951
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 3873
- 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
- 6360
- Möbius Function
- -1
- Radical
- 9951
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = (n^3 + 2*n)/3.at n=31A006527
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 33.at n=30A031531
- a(n) = (2*n+1)*(4*n^2+4*n+3)/3.at n=15A057813
- a(n) = A083149(n+1)/A083149(n).at n=9A083150
- Squarefree conductors of quintic fields.at n=14A085715
- a(n) = A082777(n+1)/A082777(n).at n=4A088772
- Number of different partitions of the set {1, 2, ..., n} into an even number of blocks such that each block contains at least 2 elements.at n=9A097763
- Expansion of (1+2*x+4*x^2+8*x^3+16*x^4)/(1-x-32*x^6).at n=13A098583
- Berend Jan van der Zwaag's conjectured complete list of numbers that start different "expanding periodic loops" under the mapping described in A053392 and A060630.at n=8A103117
- Numbers n such that (n + prime(n)), (n+1 + prime(n+1)), (n+2 + prime(n+2)) and (n+3 + prime(n+3)) are divisible by 5.at n=2A107582
- a(n) = largest composite number of n decimal digits that becomes prime by decreasing any one of the higher-order digits.at n=2A124113
- a(n) = (10*n+3)*(10*n+17).at n=9A152579
- Number of ways to partition a 2*n X 2 grid into 4 connected equal-area regions.at n=30A167238
- One third of product plus sum of three consecutive nonnegative integers; a(n)=(n+1)(n^2+2n+3)/3.at n=30A167875
- a(n) = n*(n+1)*(2*n+1)/6 - n*floor(n/2).at n=30A178946
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=15A179130
- Total number of repeated parts in all partitions of n.at n=24A194452
- Number of partitions p of n such that the m(M(p)) is a part, where m = multiplicity, M = the maximum multiplicity of the parts of p.at n=39A240538
- A double binomial sum.at n=5A249014
- Numbers n such that the sum of the divisors of n equals the third power of the sum of the digits of n.at n=6A259674