Properties of the Number 29389

Twenty-Nine Thousand Three Hundred Eighty-Nine

Basics

Value: 29388 → 29389 → 29390

Parity: odd

Prime: Yes

Previous Prime: 29387

Next Prime: 29399

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 29389

Divisors: 1, 29389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011001101

Octal: 71315

Duodecimal: 15011

Hexadecimal: 72cd

Square: 863713321

Square Root: 171.4322023425004

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 that remain prime when a single digit 9 is inserted between any two consecutive digits or as the leading or trailing digit. A215421

Prime number spiral (clockwise, Southwest spoke). A54568

Primes followed by a [10,2,10] prime difference pattern of A001223. A52376

Primes p such that the polynomial x⁵-x⁴-x³-x²-x-1 mod p has 5 distinct zeros. A106281

Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x⁵ - x⁴ - x³ - x² - x - 1 modulus p is factorizable into five binomials. A135847

Numbers k such that 2·F(k) + 1 is a prime, where F = A000045. A124067

Prime numbers p for which quintonacci quintic polynomial x⁵-x⁴-x³-x²-x-1 modulus p is completely factorizable. A135846

Primes abs(A337145(k))/8 for k in A337146. A337147

Primes p(n) such that p(n) + p(n+3) = p(n+1) + p(n+2) and p(n) + p(n+4) = p(n+2) + p(n+3). A266882

Primes p that set a new record for the size of the smallest prime q such that q^p-1 == 1 (mod p²), i.e., such that p is a base-q Wieferich prime. A289379