7352
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
- 8
- Divisor Sum
- 13800
- 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
- 3672
- Möbius Function
- 0
- Radical
- 1838
- Omega Function (Ω)
- 4
- 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
- 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
- Number of plane partitions of n with at most two rows.at n=20A000990
- Expansion of (theta_2(q)/theta_3(q))^4/16 in powers of q.at n=7A005798
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=35A005897
- If a, b in sequence, so is ab+8.at n=30A009331
- Coordination sequence for NiAs(1), As position.at n=35A009943
- Numbers k such that Fib(k) == 21 (mod k).at n=44A023179
- Shifts left under transform T where Ta is a EXP-DCONV a.at n=9A038047
- Numbers n such that n and n-1 are differences between 2 positive cubes in at least one way.at n=9A038595
- Numbers ending with '2' that are the difference of two positive cubes.at n=21A038857
- Number of positive integers <= 2^n of form 4 x^2 + 5 y^2.at n=16A054169
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=25A064721
- Triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} defined by a(0,0)=1, a(n,0)=A000670(n), a(n,n)=A000629(n), a(n,k) = a(n,k-1) + a(n-1,k-1); a(n+1,0) = Sum_{k=0..n} a(n,k).at n=25A073146
- Expansion of (eta(q^4) / eta(q))^8 in powers of q.at n=6A092877
- Even numbers n such that n^2 is an arithmetic number.at n=31A107924
- Expansion of (1-x-2x^2+sqrt(1-2x-3x^2))/(2(1-x)(1-2x-3x^2)).at n=9A116409
- Start with i=1 and j=2. Concatenate i and j, get k = floor(ij/j), concatenate j and k, etc.at n=18A127320
- Triangle, read by rows, where T(n,k) is the coefficient of q^((n+1)*k) in the q-binomial coefficient [2*n+1, n] for n >= k >= 0.at n=59A128562
- Triangle, read by rows, where T(n,k) is the coefficient of q^((n+1)*k) in the q-binomial coefficient [2*n+1, n] for n >= k >= 0.at n=61A128562
- G.f.: A(x) = A_1 where A_1 = 1/[1 - x*(A_2)^2], A_2 = 1/[1 - x^2*(A_3)^2], A_3 = 1/[1 - x^3*(A_4)^2], ... A_n = 1/[1 - x^n*(A_{n+1})^2] for n>=1.at n=14A132332
- Nonprimes with all digits distinct, all digits prime, and a nonprime number of digits.at n=14A165245