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Number

17,123

17,123 is a prime, odd.

17,123 (seventeen thousand one hundred twenty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x42E3.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
32,171
Recamán's sequence
a(89,014) = 17,123
Square (n²)
293,197,129
Cube (n³)
5,020,414,439,867
Divisor count
2
σ(n) — sum of divisors
17,124
φ(n) — Euler's totient
17,122

Primality

17,123 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 17123
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 17,123)
1 × 17123
First multiples
17,123 · 34,246 (double) · 51,369 · 68,492 · 85,615 · 102,738 · 119,861 · 136,984 · 154,107 · 171,230

Sums & aliquot sequence

As consecutive integers: 8,561 + 8,562

Continued fraction of √n

√17,123 = [130; (1, 5, 1, 8, 5, 1, 36, 1, 1, 4, 2, 3, 7, 2, 2, 4, 1, 14, 1, 1, 2, 1, 1, 1, …)]

Representations

In words
seventeen thousand one hundred twenty-three
Ordinal
17123rd
Binary
100001011100011
Octal
41343
Hexadecimal
0x42E3
Base64
QuM=
One's complement
48,412 (16-bit)
Scientific notation
1.7123 × 10⁴
As a duration
17,123 s = 4 hours, 45 minutes, 23 seconds
In other bases
ternary (3) 212111012
quaternary (4) 10023203
quinary (5) 1021443
senary (6) 211135
septenary (7) 100631
nonary (9) 25435
undecimal (11) 11957
duodecimal (12) 9aab
tridecimal (13) 7a42
tetradecimal (14) 6351
pentadecimal (15) 5118

As an angle

17,123° = 47 × 360° + 203°
203° ≈ 3.543 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιζρκγʹ
Mayan (base 20)
𝋢·𝋢·𝋰·𝋣
Chinese
一萬七千一百二十三
Chinese (financial)
壹萬柒仟壹佰貳拾參
In other modern scripts
Eastern Arabic ١٧١٢٣ Devanagari १७१२३ Bengali ১৭১২৩ Tamil ௧௭௧௨௩ Thai ๑๗๑๒๓ Tibetan ༡༧༡༢༣ Khmer ១៧១២៣ Lao ໑໗໑໒໓ Burmese ၁၇၁၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 17,123 = 2
e — Euler's number (e)
Digit 17,123 = 4
φ — Golden ratio (φ)
Digit 17,123 = 9
√2 — Pythagoras's (√2)
Digit 17,123 = 2
ln 2 — Natural log of 2
Digit 17,123 = 8
γ — Euler-Mascheroni (γ)
Digit 17,123 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 17,117 (gap of 6)
  • Next prime: 17,137 (gap of 14)

Pair status: sexy with 17117.

Unicode codepoint
CJK Unified Ideograph-42E3
U+42E3
Other letter (Lo)

UTF-8 encoding: E4 8B A3 (3 bytes).

Hex color
#0042E3
RGB(0, 66, 227)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.66.227.

Address
0.0.66.227
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.66.227

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

Musical pitch

Heard as a frequency, 17,123 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +39¢)
  • Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -24¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +40¢)
Position in π

The digit sequence 17123 first appears in π at position 49,835 of the decimal expansion (the 49,835ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.