4137
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 2199
- 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
- 2352
- Möbius Function
- -1
- Radical
- 4137
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 95
- 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
- List of pairs of primes in reverse order, starting at 1.at n=6A007796
- Coordination sequence T2 for Zeolite Code CAS.at n=40A008064
- Coordination sequence T1 for Zeolite Code VET.at n=39A009902
- Expansion of 1/((1-x)*(1-2x)*(1-6x)*(1-12x)).at n=3A021214
- a(n) = Sum_{k=1..n} floor((n/k)*floor(n/k)).at n=50A024921
- Number of primes < n^3.at n=33A038098
- Denominators of continued fraction convergents to sqrt(352).at n=7A041667
- Numbers whose base-16 representation has exactly 4 runs.at n=23A043677
- Numbers m such that there are precisely 3 groups of order m.at n=20A055561
- Pinwheel numbers: a(n) = 2*n^2 + 6*n + 1.at n=44A059993
- Numbers k such that floor(Pi*k) is a square.at n=42A061812
- Least nontrivial multiple of the n-th prime beginning with 4.at n=44A078288
- Numbers n such that round(prime(n)/n) < round(prime(n-1)/(n-1)).at n=3A079417
- Number of partitions of n into decimal repdigit numbers.at n=31A088669
- Number of partitions of n such that the number of different parts is odd.at n=31A090794
- Number of partitions of n into decimal palindromes.at n=31A091580
- a(n) = n^3+n for odd n, (n^3+n)*3/2 for even n: Row sums of A093915.at n=13A093917
- Maximal number of squares of side 1 in an ellipse of semiaxes n,2n.at n=25A108126
- a(n) = 8*n^2 - 4*n - 3.at n=22A118057
- Least number k>1 such that k+10^n is a symmetric prime with symmetric digits (i.e. such that k+10^n is in A007500).at n=51A122490