Properties of the Number 61469

Sixty-One Thousand Four Hundred Sixty-Nine

Basics

Value: 61468 → 61469 → 61470

Parity: odd

Prime: Yes

Previous Prime: 61463

Next Prime: 61471

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 61469

Divisors: 1, 61469

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000000011101

Octal: 170035

Duodecimal: 2B6A5

Hexadecimal: f01d

Square: 3778437961

Square Root: 247.9294254419995

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 ways to partition the sum of all divisors of n (σ(n), A000203) into distinct positive integers not greater than n. A79125

Number of partitions of n such that either both floor(n/2) and ceiling(n/2) are parts or else neither is a part. A238624

Number of different closest packings of equal spheres for rhombohedral crystals having repeat period n. A371992

Primes among partial sums of floor(π*prime(k)), k=1,2,3,.... A117503

a(n) = smallest m > 0 such that there are no primes between p·m and p*(m+1) inclusive where p is the n-th prime. A174741

GCD of the amicable pairs: a(n) = gcd(A002025(n), A002046(n)). A61469

a(n) is defined by the condition that the decimal expansion of the ∑_n>=1 1/(n·a(n)) = 1/(1·a(1)) + 1/(2·a(2)) + 1/(3·a(3)) + ... begins with the concatenation of these numbers; also a(1) = 3 and a(n) > a(n-1). A307007