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Number

16,097

16,097 is a prime, odd.

16,097 (sixteen thousand ninety-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3EE1.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
79,061
Square (n²)
259,113,409
Cube (n³)
4,170,948,544,673
Divisor count
2
σ(n) — sum of divisors
16,098
φ(n) — Euler's totient
16,096

Primality

16,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,097)
1 × 16097
First multiples
16,097 · 32,194 (double) · 48,291 · 64,388 · 80,485 · 96,582 · 112,679 · 128,776 · 144,873 · 160,970

Sums & aliquot sequence

As a sum of two squares: 44² + 119²
As consecutive integers: 8,048 + 8,049

Continued fraction of √n

√16,097 = [126; (1, 6, 1, 14, 19, 2, 4, 1, 2, 4, 5, 1, 2, 22, 1, 2, 1, 1, 12, 1, 3, 1, 1, 1, …)]

Representations

In words
sixteen thousand ninety-seven
Ordinal
16097th
Binary
11111011100001
Octal
37341
Hexadecimal
0x3EE1
Base64
PuE=
One's complement
49,438 (16-bit)
Scientific notation
1.6097 × 10⁴
As a duration
16,097 s = 4 hours, 28 minutes, 17 seconds
In other bases
ternary (3) 211002012
quaternary (4) 3323201
quinary (5) 1003342
senary (6) 202305
septenary (7) 64634
nonary (9) 24065
undecimal (11) 11104
duodecimal (12) 9395
tridecimal (13) 7433
tetradecimal (14) 5c1b
pentadecimal (15) 4b82

As an angle

16,097° = 44 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛϟζʹ
Mayan (base 20)
𝋢·𝋠·𝋤·𝋱
Chinese
一萬六千零九十七
Chinese (financial)
壹萬陸仟零玖拾柒
In other modern scripts
Eastern Arabic ١٦٠٩٧ Devanagari १६०९७ Bengali ১৬০৯৭ Tamil ௧௬௦௯௭ Thai ๑๖๐๙๗ Tibetan ༡༦༠༩༧ Khmer ១៦០៩៧ Lao ໑໖໐໙໗ Burmese ၁၆၀၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 16,097 = 3
e — Euler's number (e)
Digit 16,097 = 1
φ — Golden ratio (φ)
Digit 16,097 = 3
√2 — Pythagoras's (√2)
Digit 16,097 = 8
ln 2 — Natural log of 2
Digit 16,097 = 7
γ — Euler-Mascheroni (γ)
Digit 16,097 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,091 (gap of 6)
  • Next prime: 16,103 (gap of 6)

Pair status: sexy with 16091, sexy with 16103.

Unicode codepoint
CJK Unified Ideograph-3Ee1
U+3EE1
Other letter (Lo)

UTF-8 encoding: E3 BB A1 (3 bytes).

Hex color
#003EE1
RGB(0, 62, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.62.225.

Address
0.0.62.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.62.225

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

Musical pitch

Heard as a frequency, 16,097 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +32¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -31¢)
  • Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +33¢)
Position in π

The digit sequence 16097 first appears in π at position 307,271 of the decimal expansion (the 307,271ordinal-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.