10499
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10500
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10498
- Möbius Function
- -1
- Radical
- 10499
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1284
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Patterns in a dual ring.at n=14A007574
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=31A023285
- Expansion of 1/((1-2x)(1-8x)(1-9x)(1-12x)).at n=3A028017
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=34A045303
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=31A054999
- Smaller of twin primes whose middle term is a multiple of A002110(4)=210.at n=12A060230
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=23A065117
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=15A067379
- Iccanobirt sequence: a(n) = R(a(n-1)) + R(a(n-2)) + R(a(n-3)) where a(1)=a(2)=a(3)=1 and R(n) (A004086) is the reverse of n.at n=12A074861
- Numbers n such that the average of prime(n) and prime(n+1) is a perfect cube.at n=6A076693
- Primes p such that 7 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=15A080186
- Table read by rows where row n contains lower twin primes of the form k*A002110(n)-1 in the range 0 < k < A006094(n+1).at n=48A088328
- Smallest member of a pair of consecutive twin prime pairs that have one prime between them.at n=40A089629
- Smallest k such that prime(n)# - k and prime(n)# + k are primes, where prime(n)# = A002110(n).at n=38A094709
- Primes of the form 100n - 1.at n=30A095995
- Numbers k such that A098037(k) sets a new record. A098037 is the number of prime divisors (counting multiplicity) of the sums of two consecutive primes.at n=12A098048
- Primes of the form 6n^2 - 2n - 1.at n=15A099007
- Numbers k such that 3*10^k + 7*R_k - 6 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A102976
- Primes p = prime(k) such that both p+2 and prime(k+4)-2 are prime numbers.at n=41A105411
- Primes p such that 6p + 7 is a square.at n=34A110014