12937
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13716
- Proper Divisor Sum (Aliquot Sum)
- 779
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12160
- Möbius Function
- 1
- Radical
- 12937
- 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
- 138
- Smith Number
- yes
- 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
- Binomial transform of Kolakoski sequence A000002.at n=13A054355
- Semiprimes in A056105.at n=28A113519
- a(n) = 7*n^2 + 14*n + 1.at n=42A131878
- 9^n mod 2^n.at n=17A138998
- a(n) = 392*n + 1.at n=33A158002
- a(n) = 66*n^2 + 1.at n=14A158689
- Numerator of the Harary number for the cycle graph C_n.at n=16A160046
- Triangle T(n,k) = A176492(n,k) + A008292(n+1,k+1) - 1 read along rows 0<=k<=n.at n=23A176492
- Triangle T(n,k) = A176492(n,k) + A008292(n+1,k+1) - 1 read along rows 0<=k<=n.at n=25A176492
- Number of union-closed partitions of weight n.at n=40A225973
- Number of Dyck paths of semilength n having exactly 4 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).at n=5A243416
- Number of length n+4 0..6 arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two.at n=4A248985
- T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two.at n=49A248987
- Number of length 5+4 0..n arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two.at n=5A248992
- 25-gonal numbers: a(n) = n*(23*n-21)/2.at n=34A255184
- Composite numbers k with its divisors having the property that the last digit of every divisor is the same as the first digit of the next divisor.at n=18A307858
- Numbers k such that 413*2^k+1 is prime.at n=18A323106
- Number of integer partitions of n such that (length) * (maximum) < 2n.at n=45A361852
- Number of integer partitions of n such that the least part plus the greatest part is odd.at n=37A390092
- Numbers k such that sigma(k) = phi(k) + tau(k)^2 + pi(k).at n=5A390580