4222
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 2114
- 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
- 2110
- Möbius Function
- 1
- Radical
- 4222
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 170
- 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
- yes
- Odd
- no
Appears in sequences
- Number of directed site animals on hexagonal lattice.at n=13A006861
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=5A020427
- Sum of the products of the primes taken 2 at a time from the first n primes.at n=8A024447
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026300.at n=3A026942
- Number of achiral hexagonal polyominoes with n cells.at n=12A030225
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 64.at n=10A031562
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=27A031798
- Composite numbers k such that the digits of the prime factors of k are either 1 or 2.at n=32A036302
- Numbers d_n used in recurrence for series-parallel numbers.at n=15A036655
- Coordination sequence T6 for Zeolite Code STT.at n=43A038421
- Numbers having three 2's in base 10.at n=30A043499
- McKay-Thompson series of class 30E for Monster.at n=28A058616
- Composite and every divisor (except for 1) contains the digit 2.at n=41A062664
- Numbers n such that Rd(n) + Ld(n) +/-1 is prime, where Rd and Ld are the right- and left-digital factorial functions.at n=45A071714
- a(n) is the number of primes between n! and (2n)!.at n=3A076960
- a(n) is the number of values of k such that k can be expressed as the sum of distinct primes with largest prime in the sum equal to prime(n).at n=46A082548
- Triangle T(n, k) read by rows; given by [0, 1, 0, 1, 0, 1, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.at n=25A085845
- Lunar cubes: n*n*n, where * is lunar multiplication.at n=42A087036
- a(n) = A069540(n)/5.at n=42A088407
- Slowest increasing sequence which self-describes its succession of odd and even digits.at n=34A105771