7258
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 4262
- 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
- 3420
- Möbius Function
- -1
- Radical
- 7258
- 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
- 57
- 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
- Numbers n such that phi(n + 1) | sigma(n) for n congruent to 1 (mod 3).at n=22A015817
- T(2n+1,n+4), T given by A026769.at n=5A026890
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+11 or 24k-11. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=44A036034
- Sets of 4 consecutive numbers with equal number of divisors.at n=22A039665
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 4).at n=54A046769
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 4).at n=54A046781
- Least k such that k*12^n +/- 1 are twin primes.at n=46A064221
- Numbers k such that sigma(k) = 2*phi(k+1).at n=13A068423
- Even numbers such that all a(i) + a(j) are distinct.at n=45A080432
- As a vector, shifts to the left when multiplied by A054521.at n=25A147524
- A sequence of triples of squarefree consecutive integers each composed of exactly three primes.at n=37A165936
- Wiener index of the n-pan graph.at n=37A180861
- First of two complementary trees generated by the triangular numbers. The second tree is A183232.at n=23A183231
- a(n) = n*(5*n+1).at n=38A202803
- Sphenic numbers (A007304) whose neighbors are sphenic.at n=12A248202
- Number of pairs of partitions of n that are successors in reverse lexicographic order, but incomparable in dominance (natural, majorization) ordering.at n=39A248475
- Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 8 as largest digit.at n=18A257368
- a(n) = 3*n*(3*n + 7)/2 + 4.at n=39A283394
- Expansion of (1-6*x+11*x^2-5*x^3) / ((1-x)*(1-3*x)*(1-3*x+x^2)).at n=9A285197
- Ulam numbers k such that 4*k and 16*k are also Ulam numbers.at n=9A287634