Properties of the Number 38377

Thirty-Eight Thousand Three Hundred Seventy-Seven

Basics

Value: 38376 → 38377 → 38378

Parity: odd

Prime: Yes

Previous Prime: 38371

Next Prime: 38393

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 38377

Divisors: 1, 38377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010111101001

Octal: 112751

Duodecimal: 1A261

Hexadecimal: 95e9

Square: 1472794129

Square Root: 195.90048494069634

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes having only {3, 7, 8} as digits. A260381

Number of partitions p of n such that (number of even numbers in p) >= (number of odd numbers in p). A241639

Number of permutations of length n that avoid the patterns 132, 4321. A116701

Primes p such that 8·p²-2·p-1 divides Fibonacci(p). A159231

a(n) = 1 + ∑_k=1..n binomial(n,k) * σ(k). A222115

Dirichlet self-convolution of the integer partition numbers A000041. A323764

First member of the least set of 5 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n. A382700

Prime numbers p such that p +- ((p-1)/6) are primes. A137724

Smallest m such that the period of the continued fraction of sqrt(m) is A215485(n); records of A013646. A215508

Primes p such that p+A003132(p),(p+A003132(p))+A003132(p+A003132(p)), p-A003132(p), and (p-A003132(p))-A003132(p-A003132(p)) are prime. A342960