14749
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17600
- Proper Divisor Sum (Aliquot Sum)
- 2851
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12348
- Möbius Function
- 0
- Radical
- 301
- 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
- 45
- 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
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 7.at n=17A022321
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=18A031844
- Number of partitions of n into parts not of the form 25k, 25k+10 or 25k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=35A036009
- Denominators of continued fraction convergents to sqrt(750).at n=12A042445
- Numbers k that divide 8^k + 7^k + 6^k + 5^k + 4^k + 3^k + 2^k.at n=33A057490
- a(n) = (2*n-1)*(n^2 -n +2)/2.at n=24A063488
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=33A070192
- Smallest of 4 consecutive numbers each divisible by a square.at n=23A070284
- Number of one-element transitions from the partitions of n to the partitions of n+1 for labeled parts.at n=24A093694
- a(n) = n*(8*n-1).at n=43A139274
- 1/8 of the number of 8-colorings of an n X n array symmetric about main diagonal.at n=2A145251
- 1/8 of the number of 8-colorings of an n X n array symmetric about both diagonal and antidiagonal.at n=3A145252
- Triangle read by rows in which row n lists n+1 terms, starting with n^4 and ending with n^5, such that the difference between successive terms is equal to n^4 - n^3.at n=34A163284
- The least number s having exactly n fours in the continued fraction of sqrt(s).at n=17A206584
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood.at n=27A270162
- a(n) = A277713(n)/3.at n=55A277714
- Numbers m such that there are precisely 17 groups of order m.at n=7A294949
- Partial sums of A299896.at n=31A299897
- Partial sums of A304910.at n=41A304913
- Numbers k such that sopfr(k) = tau(k)^2.at n=11A305026