3454
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5688
- Proper Divisor Sum (Aliquot Sum)
- 2234
- 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
- 1560
- Möbius Function
- -1
- Radical
- 3454
- 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
- 56
- 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
- yes
- Odd
- no
Appears in sequences
- Oscillates under partition transform.at n=44A007213
- Coordination sequence T1 for Zeolite Code STI.at n=40A008234
- Coordination sequence T1 for Zeolite Code -ROG.at n=44A009859
- Coordination sequence T1 for Zeolite Code RSN.at n=38A009885
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=44A011905
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=49A011914
- Sequence satisfies T^2(a)=a, where T is defined below.at n=44A027596
- Numbers whose base-7 representation contains exactly three 3's.at n=27A043407
- Numbers n such that string 5,4 occurs in the base 10 representation of n but not of n-1.at n=37A044386
- Numbers n such that string 5,4 occurs in the base 10 representation of n but not of n+1.at n=37A044767
- Composite numbers whose 3 prime factors are distinct in length.at n=21A046443
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u1.at n=12A048189
- Numbers k such that 2^k + 7 is prime.at n=29A057195
- a(n) = least value such that sequence increases and pairwise differences are unique.at n=44A058336
- McKay-Thompson series of class 20D for Monster.at n=38A058553
- Start with 0; to get next term reverse digits and add 1 to each digit (9's get replaced by 10's).at n=23A061729
- Multiples of 11 in which the even positioned digits from left are even and the odd positioned ones are odd.at n=37A080466
- Largest number k such that the interval [k^2,(k+1)^2] contains not more than n pairs of twin primes.at n=20A099154
- Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.at n=41A108344
- McKay-Thompson series of class 40B for the Monster group.at n=38A112179