8377
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8378
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8376
- Möbius Function
- -1
- Radical
- 8377
- 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
- 158
- 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
- 1049
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Nearest integer to Gamma(n+1/4).at n=8A014518
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=8A020428
- Primes of the form k^2 + k + 5.at n=27A027755
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=27A031814
- The sequence e when b=[ 1,0,1,1,1,... ].at n=36A042953
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=37A057470
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the first term of each group.at n=42A074129
- Primes p such that floor(p^Pi) is prime.at n=45A079594
- Balanced primes of order two.at n=40A082077
- Triangle read by rows, in which n-th row contains smallest set of n consecutive numbers with distinct prime signatures.at n=47A083788
- Convoluted convolved Fibonacci numbers G_6^(r).at n=24A089111
- The first n primes, connected by, from left to right, alternating + and * signs.at n=17A106215
- Composition of function F = x/(1-x) from functions of the form [x + a(n)*x^n]: F = a(1)*x o x+a(2)*x^2 o x+a(3)*x^3 o ... o x+a(n)*x^n o ...at n=14A119460
- Primes p such that the largest prime factor of p+1 has Erdős-Selfridge class+ < N-1 if p is of class N+.at n=30A129470
- Primes p of Erdos-Selfridge class 3+ with largest prime factor of p+1 not of class 2+.at n=25A129471
- Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=17A137463
- Primes not in A138980.at n=75A138982
- Primes of the form x^2+101y^2.at n=32A139489
- Primes of the form 12*x^2+12*x*y+73*y^2.at n=32A139990
- Primes of the form 33x^2+40y^2.at n=34A140010