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Number

55,213

55,213 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
150
Digital root
7
Palindrome
No
Bit width
16 bits
Reversed
31,255
Recamán's sequence
a(141,129) = 55,213
Square (n²)
3,048,475,369
Cube (n³)
168,315,470,548,597
Divisor count
2
σ(n) — sum of divisors
55,214
φ(n) — Euler's totient
55,212

Primality

55,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 55213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 55,213)
1 × 55213
First multiples
55,213 · 110,426 (double) · 165,639 · 220,852 · 276,065 · 331,278 · 386,491 · 441,704 · 496,917 · 552,130

Sums & aliquot sequence

As a sum of two squares: 77² + 222²
As consecutive integers: 27,606 + 27,607

Representations

In words
fifty-five thousand two hundred thirteen
Ordinal
55213th
Binary
1101011110101101
Octal
153655
Hexadecimal
0xD7AD
Base64
160=
One's complement
10,322 (16-bit)
In other bases
ternary (3) 2210201221
quaternary (4) 31132231
quinary (5) 3231323
senary (6) 1103341
septenary (7) 316654
nonary (9) 83657
undecimal (11) 38534
duodecimal (12) 27b51
tridecimal (13) 1c192
tetradecimal (14) 1619b
pentadecimal (15) 1155d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵νεσιγʹ
Mayan (base 20)
𝋦·𝋲·𝋠·𝋭
Chinese
五萬五千二百一十三
Chinese (financial)
伍萬伍仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٥٥٢١٣ Devanagari ५५२१३ Bengali ৫৫২১৩ Tamil ௫௫௨௧௩ Thai ๕๕๒๑๓ Tibetan ༥༥༢༡༣ Khmer ៥៥២១៣ Lao ໕໕໒໑໓ Burmese ၅၅၂၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 55,213 = 7
e — Euler's number (e)
Digit 55,213 = 4
φ — Golden ratio (φ)
Digit 55,213 = 6
√2 — Pythagoras's (√2)
Digit 55,213 = 2
ln 2 — Natural log of 2
Digit 55,213 = 0
γ — Euler-Mascheroni (γ)
Digit 55,213 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 55,207 (gap of 6)
  • Next prime: 55,217 (gap of 4)

Pair status: cousin with 55217, sexy with 55207.

Hex color
#00D7AD
RGB(0, 215, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.215.173.

Address
0.0.215.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.215.173

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 55213 first appears in π at position 1,663 of the decimal expansion (the 1,663ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.