Properties of the Number 3413

Three Thousand Four Hundred Thirteen

Basics

Value: 3412 → 3413 → 3414

Parity: odd

Prime: Yes

Previous Prime: 3407

Next Prime: 3433

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 3413

Divisors: 1, 3413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101010101

Octal: 6525

Duodecimal: 1B85

Hexadecimal: d55

Square: 11648569

Square Root: 58.42088667591412

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

Number of partitions of n such that no part is a sum of two or more other parts. A237667

a(n) = ∑_k=1..n k^k. A1923

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338. A146360

Dispersion of A016813 (4k+1, k>1), by antidiagonals. A191667

a(n) is the index of F(n+1) at the unique occurrence of the ordered pair of reversed consecutive terms (F(n+1),F(n)) in Stern's diatomic sequence A002487, where F(k) denotes the k-th term of the Fibonacci sequence A000045. A86893

a(n) = 4·a(n-1) + 1 with a(0) = 3. A72197

Primes prime(k) such that all integers in [(prime(k-1)+1)/2,(prime(k)-1)/2] are composite, excluding those primes in A080359. A164294

Number of integer partitions of n of even length whose greatest multiplicity is at most half their length. A338914

Prime numbers ending in the prime number 13. A244763

Numbers n such that C(4n,n)/(3n+1) (A002293) is not divisible by 4. A78971