4129
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4130
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4128
- Möbius Function
- -1
- Radical
- 4129
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 188
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 568
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=28A001136
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=24A005892
- Coordination sequence T1 for Zeolite Code LTL.at n=47A008138
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=27A014755
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=2A020428
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=30A023262
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=21A023299
- Primes that remain prime through 4 iterations of function f(x) = 9x + 10.at n=8A023327
- Primes that remain prime through 5 iterations of function f(x) = 9x + 10.at n=2A023355
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=33A024843
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.at n=21A031418
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=33A031465
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=14A031802
- Numbers k such that 83*2^k+1 is prime.at n=9A032391
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=24A032767
- Primes of form x^2+69*y^2.at n=32A033244
- Number of ternary rooted trees with n nodes and height at most 5.at n=15A036373
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=36A038543
- Denominators of continued fraction convergents to sqrt(164).at n=7A041303
- Denominators of continued fraction convergents to sqrt(656).at n=11A042261