7983
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11544
- Proper Divisor Sum (Aliquot Sum)
- 3561
- 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
- 5316
- Möbius Function
- 0
- Radical
- 2661
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- no
- Odd
- yes
Appears in sequences
- Juxtapose pairs of primes (starting at 1).at n=11A007794
- a(n) = (d(n)-r(n))/5, where d = A026063 and r is the periodic sequence with fundamental period (1,4,0,0,0).at n=51A026065
- Concatenate the n-th and (n+1)st prime.at n=21A045533
- Indices of primes in sequence defined by A(0) = 77, A(n) = 10*A(n-1) + 27 for n > 0.at n=8A056263
- (Sum of composites among next n numbers)-(sum of primes among next n numbers).at n=28A094338
- Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 5 and (n+6) mod 8 <> 1.at n=9A096024
- Concatenations of pairs of primes that differ by four.at n=7A103195
- Lucas 8-step numbers.at n=12A105754
- 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), (1, 0, -1), (1, 1, -1), (1, 1, 0)}.at n=8A148999
- a(n) is the cardinality of the "Cross Set" which is the subset of distinct resistances that can be produced by a circuit of n unit resistors using only series or parallel combinations which cannot be decomposed as a single unit resistor in either series or parallel with a circuit of n-1 unit resistors.at n=12A176497
- Number of partitions of n such that the (sum of distinct even parts) > n/2.at n=40A284618
- Number of partitions of n such that the (sum of distinct even parts) >= n/2.at n=40A284619
- Numbers k such that k!4 + 2^8 is prime, where k!4 = k!!!! is the quadruple factorial number (A007662).at n=23A291349
- Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k distinct columns and any number of distinct nonzero rows with column sums n and columns in decreasing lexicographic order.at n=30A331570
- Number of nonnegative integer matrices with n distinct columns and any number of distinct nonzero rows with column sums 2 and columns in decreasing lexicographic order.at n=5A331704
- Number of triangular regions in an equilateral triangular "frame" of size n (see Comments in A328526 for definition).at n=12A333032
- Number of compositions of n where every distinct subsequence (not necessarily contiguous) has a different sum.at n=36A334268
- Number of integer partitions of n that are not pairwise coprime, where a singleton is not coprime unless it is (1).at n=32A335240
- a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-4), with a(1) = a(2) = a(3) = a(4) = 1.at n=37A343885
- Difference between A341512 and its Möbius transform.at n=71A346240