7514
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
- 12
- Divisor Sum
- 12894
- Proper Divisor Sum (Aliquot Sum)
- 5380
- 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
- 3264
- Möbius Function
- 0
- Radical
- 442
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 88
- 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
- Alkane (or paraffin) numbers l(7,n).at n=22A005994
- a(n) = T(2n,n), T given by A026725.at n=7A026726
- Greatest number in row n of array T given by A026725.at n=14A026731
- Sum of squares of numbers in row n of array T given by A026725.at n=7A027213
- Product of n with sum of next n consecutive integers.at n=16A036659
- Numbers k such that 297*2^k + 1 is prime.at n=20A053365
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=28A057683
- Numbers k such that sigma_k(k)/k is an integer, where sigma_k(k) is the sum of the k-th powers of the divisors of k (A023887).at n=47A067313
- a(n) = n*(n+1)*(2*n^2+1)/6.at n=12A071238
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=39A071319
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=19A085446
- Column 4 of triangle A091602.at n=38A091607
- Divide primes in groups with 2n elements and add together.at n=9A109726
- Diagonal sums of correlation triangle for (1+x)^3/(1-x).at n=39A115294
- Number of permutations of length n which avoid the patterns 2341, 3421, 4123.at n=8A116822
- Sum of the sizes of the Durfee squares of all partitions of n into distinct parts.at n=44A116859
- Number of partitions of n such that the largest part is a multiple of the smallest part.at n=31A117086
- Smallest number that can be written in exactly n ways as a sum of distinct repdigits of its decimal digits.at n=13A131367
- Numbers n with property that A077116(n) is nonzero square.at n=35A154101
- Expansion of 1/(1-x-x^3*c(x^3)), c(x) the g.f. of A000108.at n=21A165407