10267
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
- 10268
- 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
- 10266
- Möbius Function
- -1
- Radical
- 10267
- 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
- 148
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1259
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cuban primes: primes which are the difference of two consecutive cubes.at n=28A002407
- Powers of sqrt(14) rounded down.at n=7A017946
- Powers of sqrt(14) rounded to nearest integer.at n=7A017947
- Powers of fourth root of 14 rounded down.at n=14A018084
- Powers of fourth root of 14 rounded to nearest integer.at n=14A018085
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=31A023300
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=39A031816
- Numbers with exactly five distinct base-10 digits.at n=21A031987
- Super-4 Numbers (4 * n^4 contains substring '4444' in its decimal expansion).at n=5A032744
- Nearest integer to n^(7/2).at n=14A036489
- First gap of n in sequence A038593 (lower terms).at n=37A038661
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=37A046012
- Euclid-Mullin sequence (A000945) with initial value a(1)=29 instead of a(1)=2.at n=4A051314
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=24A052164
- McKay-Thompson series of class 24B for Monster.at n=26A058572
- Primes p such that x^59 = 2 has no solution mod p.at n=22A059312
- Five-digit distinct-digit primes.at n=4A074671
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=40A076449
- Final terms of rows of A077321.at n=28A077323
- Balanced primes of order four.at n=11A082079