Properties of the Number 61553

Sixty-One Thousand Five Hundred Fifty-Three

Basics

Value: 61552 → 61553 → 61554

Parity: odd

Prime: Yes

Previous Prime: 61547

Next Prime: 61559

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 61553

Divisors: 1, 61553

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000001110001

Octal: 170161

Duodecimal: 2B755

Hexadecimal: f071

Square: 3788771809

Square Root: 248.0987706539474

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

First primes of an arithmetic progression of six primes with common difference 30. A156204

Primes p that have exactly three primitive roots that are not primitive roots mod p². A60519

Eighth prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238680

Primes p such that p - d and p + d are also primes, where d is the largest digit of p. A245877

Primes p of the form a⁴+b⁴+c⁴ with a,b,c>=1 such that a²+b²+c² is another prime < p. A126117

Larger of 3 consecutive prime numbers such that p1·p2·p3·d1·d2=average of twin prime pairs; p1,p2,p3 consecutive prime numbers; d1(δ)=p2-p1, d2(δ)=p3-p2. A153411

Prime factors in a divisibility sequence of the Lucas sequence v(P=3,Q=5) of the second kind. A164816

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 70. A31658

Sum of absolute values of coefficients of expansion of (1-x)(1-x²)(1-x³)...(1-xⁿ). A61553

Expansion of (1+x²⁰)/((1-x)*(1-x³)*(1-x⁵)). A97923