7412
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13860
- Proper Divisor Sum (Aliquot Sum)
- 6448
- 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
- 3456
- Möbius Function
- 0
- Radical
- 3706
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- Pentagonal numbers written backwards.at n=38A004163
- Number of strict 5th-order maximal independent sets in cycle graph.at n=50A007393
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=48A011896
- Numbers k such that phi(k) + 9 | sigma(k).at n=6A015800
- n written in fractional base 10/7.at n=32A024662
- a(n) = Sum_{h=0..n, k=0..n} T(h,k), array T counting knights' moves as in A049604.at n=26A047881
- Molien series for group G_{1,2}^{8} of order 1536.at n=25A051462
- Column 5 of triangle A055907.at n=6A055911
- One half of the number of non-self-conjugate balanced partitions.at n=52A067772
- Numbers k for which 10*2^k + 3 is a prime (giving terms of A068712).at n=44A068713
- Antidiagonal sums of array A089900.at n=6A089902
- Numbers k such that phi(k)*prime(k) is a palindrome.at n=5A115894
- Fourth row of A166091. Positions of 7's in A166086.at n=39A166056
- Principal diagonal of the convolution array A213783.at n=33A213759
- Numbers n such that n^5 + 5*n + 5^n is prime.at n=17A220702
- Minimum value unattainable as the sum of 7 attained values of i^2 with i in 0..n.at n=34A225280
- Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 459".at n=49A246328
- Proceed counterclockwise on the outer keys of a numeric keypad (i.e., 1,2,3,6,9,8,7,4): first single digits, then concatenate two digits, then three, etc.at n=30A249182
- Lengths of runs of identical terms in A253415.at n=24A253425
- Numbers n such that phi(n) = 2*phi(n-2).at n=14A258454