7358
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11928
- Proper Divisor Sum (Aliquot Sum)
- 4570
- 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
- 3384
- Möbius Function
- -1
- Radical
- 7358
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 163
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=34A017835
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BEA = Beta Na7[Al7Si57O128] starting with a T8 atom.at n=12A019074
- Shifts left 2 places under "EGJ" (unordered, element, labeled) transform.at n=10A032319
- All 81 combinations of prefixing and following a(n) by a single digit are nonprime.at n=2A032734
- Composite numbers k such that all the decimal concatenations ik and ikj (i, j = 1...9) are also composite.at n=1A032737
- Sum of next n even interprimes.at n=11A075675
- Number of n X n binary arrays with all ones connected only either two adjacent vertically or two adjacent horizontally.at n=5A145773
- a(n) is the maximal positive integer m for which exponents of prime(n) and prime(n+1) in the prime power factorization of m! are both powers of 2.at n=45A177498
- a(n) = floor(a(n-1)/3)+a(n-2) with a(0)=2, a(1)=3.at n=51A182281
- Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,0,3,4 for x=0,1,2,3,4.at n=4A196433
- T(n,k) = Number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,1,0,3,4 for x=0,1,2,3,4.at n=40A196436
- Number of n-bead necklaces labeled with numbers -5..5 allowing reversal, with sum zero with no three beads in a row equal.at n=5A209341
- T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero with no three beads in a row equal.at n=50A209344
- Number of 6-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero with no three beads in a row equal.at n=4A209347
- Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.at n=9A261258
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.at n=45A261265
- Concatenate the n-th prime with the n-th semiprime.at n=20A262428
- Number of novel integer partitions whose parts sum to 2n.at n=17A271364
- Partial sums of A301678.at n=53A301679
- Records of A038804: (Smallest prime > 10^n) - (largest prime < 10^n).at n=18A331834