number.wiki
Number

15,173

15,173 is a prime, odd.

15,173 (fifteen 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, 0x3B45.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
105
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
37,151
Recamán's sequence
a(46,153) = 15,173
Square (n²)
230,219,929
Cube (n³)
3,493,126,982,717
Divisor count
2
σ(n) — sum of divisors
15,174
φ(n) — Euler's totient
15,172

Primality

15,173 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 15173
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 15,173)
1 × 15173
First multiples
15,173 · 30,346 (double) · 45,519 · 60,692 · 75,865 · 91,038 · 106,211 · 121,384 · 136,557 · 151,730

Sums & aliquot sequence

As a sum of two squares: 17² + 122²
As consecutive integers: 7,586 + 7,587

Continued fraction of √n

√15,173 = [123; (5, 1, 1, 2, 7, 1, 1, 4, 8, 1, 1, 2, 1, 2, 2, 14, 14, 2, 2, 1, 2, 1, 1, 8, …)]

Period length 33 — the block in parentheses repeats forever.

Representations

In words
fifteen thousand one hundred seventy-three
Ordinal
15173rd
Binary
11101101000101
Octal
35505
Hexadecimal
0x3B45
Base64
O0U=
One's complement
50,362 (16-bit)
Scientific notation
1.5173 × 10⁴
As a duration
15,173 s = 4 hours, 12 minutes, 53 seconds
In other bases
ternary (3) 202210222
quaternary (4) 3231011
quinary (5) 441143
senary (6) 154125
septenary (7) 62144
nonary (9) 22728
undecimal (11) 10444
duodecimal (12) 8945
tridecimal (13) 6ba2
tetradecimal (14) 575b
pentadecimal (15) 4768

As an angle

15,173° = 42 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιερογʹ
Mayan (base 20)
𝋡·𝋱·𝋲·𝋭
Chinese
一萬五千一百七十三
Chinese (financial)
壹萬伍仟壹佰柒拾參
In other modern scripts
Eastern Arabic ١٥١٧٣ Devanagari १५१७३ Bengali ১৫১৭৩ Tamil ௧௫௧௭௩ Thai ๑๕๑๗๓ Tibetan ༡༥༡༧༣ Khmer ១៥១៧៣ Lao ໑໕໑໗໓ Burmese ၁၅၁၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 15,173 = 4
e — Euler's number (e)
Digit 15,173 = 0
φ — Golden ratio (φ)
Digit 15,173 = 3
√2 — Pythagoras's (√2)
Digit 15,173 = 3
ln 2 — Natural log of 2
Digit 15,173 = 7
γ — Euler-Mascheroni (γ)
Digit 15,173 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 15,161 (gap of 12)
  • Next prime: 15,187 (gap of 14)
Unicode codepoint
CJK Unified Ideograph-3B45
U+3B45
Other letter (Lo)

UTF-8 encoding: E3 AD 85 (3 bytes).

Hex color
#003B45
RGB(0, 59, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.59.69.

Address
0.0.59.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.59.69

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

Musical pitch

Heard as a frequency, 15,173 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +29¢)
  • Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -33¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +31¢)
Position in π

The digit sequence 15173 first appears in π at position 53,721 of the decimal expansion (the 53,721ordinal-suffix:st 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.