4654
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 2906
- 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
- 2136
- Möbius Function
- -1
- Radical
- 4654
- 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
- 152
- 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 restricted solid partitions of n.at n=16A002974
- Number of strictly 2-dimensional polyominoes with n cells.at n=9A006765
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11).at n=48A017851
- Number of balls in pyramid with base either a regular hexagon or a hexagon with alternate sides differing by 1 (balls in hexagonal pyramid of height n taken from hexagonal close-packing).at n=26A019298
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=24A020397
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=41A031796
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=37A038391
- Numbers whose base-7 representation contains exactly three 6's.at n=33A043419
- Number of 2n-bead black-white complementable necklaces with n black beads.at n=10A045629
- Triangle T(n,d) = number of distinct d-dimensional polyominoes (or polycubes) with n cells (0 < d < n).at n=37A049429
- Triangle read by rows: T(n,d) is the number of distinct properly d-dimensional polyominoes (or polycubes) with n cells (n >= 1, d >= 0).at n=47A049430
- Sum of transposition distances (divided by 2) present in the permutation produced by inverses of 1..(p-1) computed in Zp, where p is n-th prime.at n=37A051864
- Triangle of number of rises in restricted growth strings (RGS) for the set partitions of n.at n=52A056858
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ).at n=40A063326
- Total number of parts in all partitions of n into odd parts.at n=33A067588
- a(n) = Sum_{i=1..n} Ulam(i), where Ulam(i) denotes the i-th Ulam number.at n=46A078663
- Consider numbers of the form ...7531975319753197, whose digits read from the right are 7,9,1,3,5,7,9,1,3,5,7,... Sequence gives lengths of these numbers that are primes.at n=13A090745
- a(n) is the least k such that Mersenne-prime(n)*prime(k)# + 1 is prime, where prime(k)# is the k-th primorial.at n=18A098571
- G.f.: 1-q = Sum_{k>=0} a(k)*q^k * Faq(k+1,q)^2, where Faq(n,q) is the q-factorial of n.at n=8A129273
- Generator for the finite sequence A053016.at n=25A136254