7362
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15990
- Proper Divisor Sum (Aliquot Sum)
- 8628
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2448
- Möbius Function
- 0
- Radical
- 2454
- 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
- no
- Harshad Number
- yes
- 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
- Aliquot sequence starting at 1134.at n=5A014365
- Euler transform of primes.at n=11A030009
- Numbers k such that 4^k == -1 (mod k-1).at n=3A055687
- Variation of Boustrophedon transform described in A059219 applied to sequence 0,1,0,0,0,....at n=8A059237
- Triangle T(n,k), 0<=k<=n, giving coefficients when output sequence O_0, O_1, O_2, ... from transformation described in A059216 is expressed in terms of input sequence I_0, I_1, I_2, ...at n=43A059718
- a(n) = prime(n) + n^3 + n^2 + 4n - 1.at n=18A060822
- Numbers n such that n and n+1 both are members of A074997; i.e., on the one hand n-1 and n+1 have the same prime signature, on the other hand n and n+2 have the same prime signature.at n=42A086540
- Diagonal sums of number triangle A119308.at n=11A188460
- Arises in enumerating Huffman codes, compact trees, and sums of unit fractions.at n=15A194628
- Numbers k such that phi(k-6) = phi(k) = phi(k+6).at n=13A217006
- Number of length n+5 0..1 arrays with at most two downsteps in every 5 consecutive neighbor pairs.at n=7A256813
- Number of unlabeled rooted trees with n nodes where the outdegrees (branching factors) of adjacent nodes differ by exactly one.at n=55A257654
- Numbers k such that 8*R_k + 3*10^k - 5 is prime, where R_k = 11...11 is the repunit (A002275) of length k.at n=10A259127
- 50-gonal numbers: a(n) = 48*n*(n-1)/2 + n.at n=18A261343
- Numbers n such that Bernoulli number B_{n} has denominator 798.at n=27A272138
- a(n) = number of n-digit binary numbers in which the first k and last k digits have a Hamming distance of 1 or less, for all k from 1 to n.at n=38A288793
- Number of compositions (ordered partitions) of n into prime power parts (not including 1) that do not divide n.at n=42A300704
- Number of odd parts in the partitions of n into 5 parts.at n=51A309543
- Indices of primes followed by a gap (distance to next larger prime) of 34.at n=22A320715
- Number of integer partitions of n whose first differences (assuming the last part is zero) are unimodal.at n=49A332283