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Number

10,169

10,169 is a prime, odd.

10,169 (ten thousand one hundred sixty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x27B9.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
96,101
Flips to (rotate 180°)
69,101
Recamán's sequence
a(5,597) = 10,169
Square (n²)
103,408,561
Cube (n³)
1,051,561,656,809
Divisor count
2
σ(n) — sum of divisors
10,170
φ(n) — Euler's totient
10,168

Primality

10,169 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10169
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,169)
1 × 10169
First multiples
10,169 · 20,338 (double) · 30,507 · 40,676 · 50,845 · 61,014 · 71,183 · 81,352 · 91,521 · 101,690

Sums & aliquot sequence

As a sum of two squares: 13² + 100²
As consecutive integers: 5,084 + 5,085

Continued fraction of √n

√10,169 = [100; (1, 5, 3, 3, 1, 39, 1, 1, 3, 6, 4, 1, 1, 7, 1, 1, 17, 1, 4, 10, 2, 2, 2, 1, …)]

Representations

In words
ten thousand one hundred sixty-nine
Ordinal
10169th
Binary
10011110111001
Octal
23671
Hexadecimal
0x27B9
Base64
J7k=
One's complement
55,366 (16-bit)
Scientific notation
1.0169 × 10⁴
As a duration
10,169 s = 2 hours, 49 minutes, 29 seconds
In other bases
ternary (3) 111221122
quaternary (4) 2132321
quinary (5) 311134
senary (6) 115025
septenary (7) 41435
nonary (9) 14848
undecimal (11) 7705
duodecimal (12) 5a75
tridecimal (13) 4823
tetradecimal (14) 39c5
pentadecimal (15) 302e

As an angle

10,169° = 28 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιρξθʹ
Mayan (base 20)
𝋡·𝋥·𝋨·𝋩
Chinese
一萬零一百六十九
Chinese (financial)
壹萬零壹佰陸拾玖
In other modern scripts
Eastern Arabic ١٠١٦٩ Devanagari १०१६९ Bengali ১০১৬৯ Tamil ௧௦௧௬௯ Thai ๑๐๑๖๙ Tibetan ༡༠༡༦༩ Khmer ១០១៦៩ Lao ໑໐໑໖໙ Burmese ၁၀၁၆၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,169 = 4
e — Euler's number (e)
Digit 10,169 = 9
φ — Golden ratio (φ)
Digit 10,169 = 7
√2 — Pythagoras's (√2)
Digit 10,169 = 9
ln 2 — Natural log of 2
Digit 10,169 = 5
γ — Euler-Mascheroni (γ)
Digit 10,169 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,163 (gap of 6)
  • Next prime: 10,177 (gap of 8)

Pair status: sexy with 10163.

Unicode codepoint
Heavy Black-Feathered North East Arrow
U+27B9
Other symbol (So)

UTF-8 encoding: E2 9E B9 (3 bytes).

Hex color
#0027B9
RGB(0, 39, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.185.

Address
0.0.39.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.185

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

Musical pitch

Heard as a frequency, 10,169 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +37¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -26¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +38¢)
Position in π

The digit sequence 10169 first appears in π at position 162,592 of the decimal expansion (the 162,592ordinal-suffix:nd 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.