4522
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 4118
- 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
- 1728
- Möbius Function
- 1
- Radical
- 4522
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 20
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=34A001107
- Number of one-sided triangulations of the disk; or flexagons of order n; or unlabeled plane trivalent trees (n-2 internal vertices, all of degree 3 and hence n leaves).at n=11A001683
- Number of nonintersecting (or self-avoiding) rook paths joining opposite corners of 3 X n board.at n=7A006192
- a(n) = floor(binomial(n,6)/6).at n=19A011852
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=30A015631
- Numbers k such that d(k) (number of divisors) divides phi(k) (Euler function) divides sigma(k) (sum of divisors).at n=43A020493
- Expansion of 1/((1-x)(1-3x)(1-6x)(1-12x)).at n=3A021534
- a(n) = n*(25*n + 1)/2.at n=19A022283
- Number of partitions of n into parts of 7 kinds.at n=6A023006
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor( n/2 ), s = natural numbers >= 2, t = natural numbers >= 3.at n=33A024869
- Even 10-gonal (or decagonal) numbers.at n=17A028994
- Numbers k such that 247*2^k+1 is prime.at n=20A032500
- Every run of digits of n in base 16 has length 2.at n=24A033014
- Numbers whose base-16 expansion has no run of digits with length < 2.at n=40A033029
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=29A038664
- Positive integers having more base-16 runs of even length than odd.at n=25A044842
- Numbers whose base-4 representation contains exactly two 1's and four 2's.at n=15A045099
- Numbers n such that n and its reversal are both multiples of 14.at n=21A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=13A062913
- Triangle of self-avoiding rook paths joining opposite corners of n X k board.at n=30A064297