4396
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8848
- Proper Divisor Sum (Aliquot Sum)
- 4452
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1872
- Möbius Function
- 0
- Radical
- 2198
- Omega Function (Ω)
- 4
- 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
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of distinct values taken by 2^2^...^2 (with n 2's and parentheses inserted in all possible ways).at n=13A002845
- Coordination sequence T1 for Zeolite Code AFG.at n=46A008012
- Coordination sequence T4 for Zeolite Code BOG.at n=47A008052
- Coordination sequence T2 for Scapolite.at n=42A008263
- a(0) = 1, a(n) = 26*n^2 + 2 for n>0.at n=13A010016
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=45A017853
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=34A020383
- a(n+1) = a(n) converted to base 7 from base 6 (written in base 10).at n=27A023384
- Coordination sequence T4 for Zeolite Code MWW.at n=44A024989
- a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=26A025006
- Numbers k such that k^2 is palindromic in base 13.at n=20A029998
- Numbers k such that 261*2^k+1 is prime.at n=44A032507
- Fibonacci iteration starting with (1, a(n)) leads to a "nine digits anagram".at n=8A034587
- Number of partitions in parts not of the form 13k, 13k+1 or 13k-1. Also number of partitions with no part of size 1 and differences between parts at distance 5 are greater than 1.at n=39A035949
- Numbers whose base-4 representation has exactly 7 runs.at n=15A043598
- Numbers k such that number of runs in the base 4 representation of k is congruent to 1 mod 6.at n=33A043838
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=15A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=15A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=15A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=15A043874