4494
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 5874
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1272
- Möbius Function
- 1
- Radical
- 4494
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 77
- 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
- Number of partitions of n into at most 6 parts.at n=42A001402
- Related to partitions.at n=10A002040
- Number of 2-dimensional directed compact animals of size n.at n=9A006801
- Coordination sequence T2 for Zeolite Code CAS.at n=41A008064
- Coordination sequence T5 for Zeolite Code MTT.at n=41A008193
- Coordination sequence for MgZn2, Position Zn1.at n=17A009937
- Three-fold exponential convolution of Fibonacci numbers with themselves (divided by 6).at n=8A014337
- Number of connected claw-free unlabeled graphs on n nodes.at n=8A022562
- Number of partitions of n in which the greatest part is 6.at n=48A026812
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=32A027575
- If d,e are consecutive digits of n in base 7, then |d-e|>=5.at n=28A032995
- Number of distinct n-digit suffixes of base 6 squares not containing digit 0.at n=7A038120
- Number of primes less than 1000n.at n=42A038812
- Numbers having three 4's in base 10.at n=25A043507
- Numbers whose base-4 representation has exactly 7 runs.at n=35A043598
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=35A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=35A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=35A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=35A043874
- Row 6 of square array defined in A047662.at n=5A047663