10079
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10080
- 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
- 10078
- Möbius Function
- -1
- Radical
- 10079
- 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
- 135
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1237
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest number of complexity n: smallest number requiring n 1's to build using + and *.at n=30A005520
- Coordination sequence for alpha-Mn, Position Mn1.at n=26A009950
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=17A020439
- a(0) = 1, a(1) = 1, a(n+1) = (n+1)*a(n) + n.at n=7A020543
- Expansion of 1/((1-4x)(1-7x)(1-8x)(1-12x)).at n=3A028148
- If n is even, 2(n/2 + 1)! - 1; if n is odd, ((n + 1)/2 + 1)! - 1.at n=11A030494
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99.at n=23A031597
- Values of n where number of permutations of digits a(n) that are prime increases.at n=12A046891
- a(n) is the least number with exactly n permutations of digits that are primes.at n=18A046893
- The least number k = a(n) > a(n-1) for which k!/(k+1)^m for increasing m's.at n=42A061769
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=38A068016
- Least m which can be written as i*j+i+j in n different ways: A072670(m)=n.at n=35A072671
- Primes p such that p+1 is a highly composite number.at n=14A072828
- Primeval numbers: numbers that set a record for the number of distinct primes that can be obtained by permuting some subset of their digits.at n=13A072857
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=33A076449
- a(n) is the smallest x such that the quotient d(x+1)/d(x) equals n, where d = A000005.at n=35A080371
- Sum of the first n primes whose indices are primes.at n=32A083186
- Primes in the progression (n!- m)/m where n advances by 1 and m resets to 1 upon each prime occurrence.at n=5A089137
- Primes p such that tau(p-1)+tau(p+1) is larger than for any previous term. (Smallest prime sandwiched between more composite numbers.)at n=24A090481
- Primes p such that the polynomial x^4-x^3-x^2-x-1 mod p has 4 distinct zeros.at n=41A106280