16961
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19392
- Proper Divisor Sum (Aliquot Sum)
- 2431
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14532
- Möbius Function
- 1
- Radical
- 16961
- 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
- 110
- 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) = n*(11*n^2 - 5)/6.at n=21A004467
- a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=32A006004
- Palindromic and divisible by 7.at n=42A045642
- a(n) is the odd-length palindrome whose digits up to the center are those of n and whose center digit is equal to the digital root of the product of the factorial of n and the reverse of n.at n=15A082941
- a(n) = 997*n + 1009.at n=16A100776
- Concatenation of palindrome k and its 10's complement is prime.at n=40A108537
- Palindromic composites such that some digit permutation is prime.at n=42A119378
- Number of binary strings of length n with equal numbers of 00100 and 10101 substrings.at n=15A164242
- Palindromic mountain numbers.at n=33A173070
- Palindromic Ulam numbers.at n=30A173542
- Expansion of A(x) satisfying A(A(x)) = x+2x^2+4x^3.at n=13A220110
- Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2).at n=40A241734
- Numbers n such that the decimal number concat(5,n) is a square.at n=31A273360
- a(n) is the smallest positive integer such that n*a(n) contains n+a(n) as a substring. If no such number exists then a(n) = -1.at n=68A339144