10967
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11976
- Proper Divisor Sum (Aliquot Sum)
- 1009
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9960
- Möbius Function
- 1
- Radical
- 10967
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- a(n) = Fibonacci(n) + n.at n=21A002062
- Multiplicity of highest weight (or singular) vectors associated with character chi_49 of Monster module.at n=40A034437
- Number of partitions of n into parts not of the form 13k, 13k+2 or 13k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 5 are greater than 1.at n=41A035950
- Numbers whose base-5 representation contains exactly three 2's and three 3's.at n=12A045277
- Numbers n such that 265*2^n-1 is prime.at n=23A050891
- Number of positive integers <= 2^n of form 3 x^2 + 3 y^2.at n=17A054161
- Numbers n such that n+2*prime(n) is a perfect square.at n=29A104776
- Records in A111229.at n=31A111270
- Semiprimes of the form Fibonacci(k) + k.at n=6A173684
- Number of days after Mar 01 00 such that the date written the format MMDDYY (American standard, short) is palindromic.at n=10A210894
- Take apart the sides of each of the integer-sided triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way.at n=26A308233
- Semiprimes in A072226.at n=50A317299
- Sum of the fifth largest parts of the partitions of n into 9 squarefree parts.at n=53A326528
- Starts of runs of 3 consecutive factorial base Niven numbers (A118363).at n=8A328206