7244
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12684
- Proper Divisor Sum (Aliquot Sum)
- 5440
- 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
- 3620
- Möbius Function
- 0
- Radical
- 3622
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Shifts left under "DGJ" (bracelet, element, labeled) transform.at n=8A032226
- Shifts left under "EGJ" (unordered, element, labeled) transform.at n=8A032317
- Maximal number of 132 patterns in a permutation of 1,2,...,n.at n=45A061061
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3.at n=37A073360
- Number of partitions of n into >= 2 parts and with minimum part >= 2.at n=40A083751
- Triangle T(n,k), read by rows, given by A000290 DELTA [1, 2, 6, 5, 11, 8, 16, 11, 21, 14, 26, 17, 31, 20, 36, ...] where DELTA is the operator defined in A084938.at n=17A088969
- Sum of largest parts (counted with multiplicity) of all partitions of n.at n=21A092321
- a(n) = floor(A058303*(2^(n-2)+1/2)).at n=10A094393
- Number of partitions of n into aliquant parts (i.e., parts that do not divide n).at n=41A098743
- Even elements of A085493.at n=13A106431
- Poincaré series [or Poincare series] P(T_{3,2}; x).at n=11A124615
- a(1)=a(2)=1. a(n+1) = a(n) + a(smallest prime dividing n).at n=40A128216
- Irregular triangle read by rows: the number of hydrocarbon structures that can be drawn with a given number of carbons and units of unsaturation.at n=52A134819
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 1, -1), (0, 1, 1), (1, 0, 1)}.at n=7A150502
- Number of partitions of n that do not contain 1 as a part and whose parts are not the same divisor of n.at n=41A167928
- Triangle, read by rows, equal to the matrix square of triangle A185620.at n=29A185624
- Column 1 of triangle A185624.at n=6A185626
- a(n) = n*(n+1) + (n+2)*(n+3) + (n+4)*(n+5) + (n+6)*(n+7).at n=39A217776
- G.f.: A(x) = exp( Sum_{n>=1} A069865(n)/2*x^n/n ) where A069865(n) = Sum_{k=0..n} C(n,k)^6.at n=4A218120
- Floor(1/s(n)), where s(n) = (2n+1)/(2n+2) - n*log((n+1)/n).at n=33A227721