10861
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10862
- 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
- 10860
- Möbius Function
- -1
- Radical
- 10861
- 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
- 99
- 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
- 1321
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=16A020390
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=27A032549
- Numbers whose base-7 representation contains exactly four 4's.at n=7A043412
- Primes that yield a different prime when rotated by 180 degrees.at n=32A048890
- Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.at n=28A062944
- Primes that are still primes when turned upsided down.at n=36A080788
- Twin-prime-indexed primes (TWIPS): members of a pair of twin primes whose prime index is also a member of a pair of twin primes.at n=31A087373
- A variation on Flavius's sieve (A000960): Start with the primes; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=40A099207
- Primes p such that little googol + p is prime.at n=23A108255
- Primes whose digit reversal is a pentagonal number (A000326).at n=10A115706
- Terms in A006512 containing the digit "6" at least once, such that changing every "6" to a "9" and vice versa yields a larger term in A006512.at n=3A123211
- Number of base 31 circular n-digit numbers with adjacent digits differing by 2 or less.at n=5A124994
- Expansion of 1/p(1/x) where p(x) = (-17 - 98*x^9 + x^10) * (-1 - 2*x^9 + x^10)^3 * (-1 - x^9 + x^10)^6.at n=2A135645
- Prime numbers p such that p +- ((p-1)/5) are primes.at n=8A137714
- Primes congruent to 15 mod 29.at n=42A141991
- Primes congruent to 20 mod 37.at n=38A142129
- Primes congruent to 37 mod 41.at n=31A142234
- Primes congruent to 25 mod 43.at n=31A142274
- Primes congruent to 4 mod 47.at n=24A142356
- Primes congruent to 32 mod 49.at n=30A142441