4526
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7104
- Proper Divisor Sum (Aliquot Sum)
- 2578
- 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
- 2160
- Möbius Function
- -1
- Radical
- 4526
- 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
- 38
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=30A000125
- Coordination sequence T3 for Zeolite Code LOV.at n=45A008136
- Coordination sequence T2 for Moganite, also for BGB1.at n=43A008259
- Number of partitions of n into at most 7 parts.at n=37A008636
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=33A020387
- Number of partitions of n in which the greatest part is 7.at n=44A026813
- a(n) = 3*n^2 - 7*n + 6.at n=40A027599
- 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 66.at n=15A031564
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=40A031794
- Numerators of continued fraction convergents to sqrt(771).at n=6A042486
- Numbers k such that k*2^m-1 is prime for exactly one exponent m in the range 0<=m<=k.at n=44A061157
- Numbers n such that sigma(n) = phi(n) + phi(n-1) + phi(n-2).at n=5A067202
- Numbers k such that prime(k+1)-(k+1)*tau(k+1) = prime(k-1)-(k-1)*tau(k-1) where tau(k) = A000005(k) is the number of divisors of k.at n=34A067335
- Numbers k such that k concatenated with k 1's is a prime.at n=17A068817
- Triple Peano sequence: a list of triples (x,y,z) starting at (1,1,1); then x'=x+1, y'=y+x, z'=z+y, for x only ranging over the primes.at n=32A071988
- Third terms of triple Peano sequence A071988.at n=10A072206
- Expansion of (2+x+3*x^2+2*x^3+x^4)/(1-x-5*x^2+x^3+3*x^4-x^5).at n=8A072684
- Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A058335.at n=33A080931
- "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).at n=30A089613
- Bisection of A000125.at n=15A100503