4769
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 271
- 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
- 4500
- Möbius Function
- 1
- Radical
- 4769
- 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
- 77
- 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
- Coordination sequence T1 for Zeolite Code JBW.at n=46A008121
- Coordination sequence T6 for Zeolite Code MFS.at n=43A008178
- exp(sinh(x)+tan(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+169/5!*x^5...at n=7A013044
- sinh(sinh(x)+tan(x))=2*x+11/3!*x^3+169/5!*x^5+4769/7!*x^7...at n=3A013050
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=19A020393
- Number of flat partitions of n: partitions {a_i} with each |a_i - a_{i-1}| <= 1.at n=51A034296
- a(n) = Sum_{ d divides n } q(d), where q(d) = A000009 = number of partitions of d into distinct parts.at n=51A047966
- Number of prime quadruples < 10^n, where a prime quadruple means 4 successive primes {p, p', p'', p'''} with p''' = p + 8.at n=7A055738
- The "Wild Numbers", from the novel of the same title (Version 1).at n=3A058883
- a(1) = 1; for n >= 1, a(n+1) is smallest number such that the sums of any one, two or three of a(1), ..., a(n) are distinct (repetitions not allowed).at n=17A062065
- Smallest multiple of the n-th prime not containing any of its digits, or 0 if no such number exists.at n=53A076924
- Odd numbers k such that (10^k - 1)/3 - 2*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime) of the form 3...313...3.at n=12A077775
- Numbers n such that (!n)/2 is prime, where !n = Sum_{k=0..n-1} k!.at n=16A100614
- a(1) = 1+2-3 = 0, a(2) = 4+5+6-7 = 8, a(3) = 8+9+10+11-12 = 26, a(4) = 13+14+15+16+17-18 = 57, ...at n=19A111694
- Numbers k such that k and 8*k, taken together, are zeroless pandigital.at n=5A115932
- a(n) = least k such that the remainder when 5^k is divided by k is n.at n=3A119679
- Row sums of triangle A119937.at n=4A119938
- Numerators of row sums of rational triangle A120072/A120073.at n=4A120076
- Composite numbers k such that k+d+1 is prime for all divisors d of k greater than 1.at n=33A120776
- Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1.at n=5A122400