13124
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24444
- Proper Divisor Sum (Aliquot Sum)
- 11320
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6144
- Möbius Function
- 0
- Radical
- 6562
- Omega Function (Ω)
- 4
- 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
- 76
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 8 positive 7th powers.at n=39A003375
- Numbers that are the sum of 4 nonzero 8th powers.at n=9A003382
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=42A004112
- Numbers that are the sum of at most 4 nonzero 8th powers.at n=27A004877
- a(n) = (n^3 + 2*n)/3.at n=34A006527
- a(0) = 1, a(n) = 18*n^2 + 2 for n>0.at n=27A010008
- Numbers k such that k^2 is palindromic in base 3.at n=44A029984
- Numbers k such that k^2 is palindromic in base 9.at n=18A029994
- Numbers whose set of base-16 digits is {3,4}.at n=17A032840
- Base-9 palindromes that start with 2.at n=20A043029
- Sin(n) decreases monotonically to -1.at n=23A046964
- Numbers k such that 291*2^k + 1 is prime.at n=30A053362
- a(0)=1; a(n) is the smallest integer > a(n-1) such that sin(a(n)) is closer to an integer (here 0 or -1) than sin(a(n-1)).at n=22A079037
- a(n) = 8*n^2 + 8*n + 4.at n=40A108099
- a(0)=4, a(n) = 3*a(n-1) - 4.at n=8A115099
- Numbers k such that k^3 divides 3^(k^2) - 1.at n=33A129211
- Eigentriangle read by rows, T(n,k) = A123932(n-k+1)*A046717(k).at n=52A144034
- a(n) = 625*n - 1.at n=20A158374
- Base 4 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-4 digits, for some k.at n=32A162219
- One third of product plus sum of three consecutive nonnegative integers; a(n)=(n+1)(n^2+2n+3)/3.at n=33A167875