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Number

23,173

23,173 is a prime, odd.

23,173 (twenty-three thousand one hundred seventy-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5A85.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
126
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
37,132
Recamán's sequence
a(166,849) = 23,173
Square (n²)
536,987,929
Cube (n³)
12,443,621,278,717
Divisor count
2
σ(n) — sum of divisors
23,174
φ(n) — Euler's totient
23,172

Primality

23,173 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23173
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,173)
1 × 23173
First multiples
23,173 · 46,346 (double) · 69,519 · 92,692 · 115,865 · 139,038 · 162,211 · 185,384 · 208,557 · 231,730

Sums & aliquot sequence

As a sum of two squares: 102² + 113²
As consecutive integers: 11,586 + 11,587

Continued fraction of √n

√23,173 = [152; (4, 2, 2, 4, 304)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
twenty-three thousand one hundred seventy-three
Ordinal
23173rd
Binary
101101010000101
Octal
55205
Hexadecimal
0x5A85
Base64
WoU=
One's complement
42,362 (16-bit)
Scientific notation
2.3173 × 10⁴
As a duration
23,173 s = 6 hours, 26 minutes, 13 seconds
In other bases
ternary (3) 1011210021
quaternary (4) 11222011
quinary (5) 1220143
senary (6) 255141
septenary (7) 124363
nonary (9) 34707
undecimal (11) 16457
duodecimal (12) 114b1
tridecimal (13) a717
tetradecimal (14) 8633
pentadecimal (15) 6ced

As an angle

23,173° = 64 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κγρογʹ
Mayan (base 20)
𝋢·𝋱·𝋲·𝋭
Chinese
二萬三千一百七十三
Chinese (financial)
貳萬參仟壹佰柒拾參
In other modern scripts
Eastern Arabic ٢٣١٧٣ Devanagari २३१७३ Bengali ২৩১৭৩ Tamil ௨௩௧௭௩ Thai ๒๓๑๗๓ Tibetan ༢༣༡༧༣ Khmer ២៣១៧៣ Lao ໒໓໑໗໓ Burmese ၂၃၁၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 23,173 = 6
e — Euler's number (e)
Digit 23,173 = 6
φ — Golden ratio (φ)
Digit 23,173 = 0
√2 — Pythagoras's (√2)
Digit 23,173 = 6
ln 2 — Natural log of 2
Digit 23,173 = 6
γ — Euler-Mascheroni (γ)
Digit 23,173 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,167 (gap of 6)
  • Next prime: 23,189 (gap of 16)

Pair status: sexy with 23167.

Unicode codepoint
CJK Unified Ideograph-5A85
U+5A85
Other letter (Lo)

UTF-8 encoding: E5 AA 85 (3 bytes).

Hex color
#005A85
RGB(0, 90, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.90.133.

Address
0.0.90.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.90.133

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

Position in π

The digit sequence 23173 first appears in π at position 39,056 of the decimal expansion (the 39,056ordinal-suffix:th 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.