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Number

19,949

19,949 is a prime, odd.

19,949 (nineteen thousand nine hundred forty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4DED.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
32
Digit product
2,916
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
94,991
Square (n²)
397,962,601
Cube (n³)
7,938,955,927,349
Divisor count
2
σ(n) — sum of divisors
19,950
φ(n) — Euler's totient
19,948

Primality

19,949 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 19949
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 19,949)
1 × 19949
First multiples
19,949 · 39,898 (double) · 59,847 · 79,796 · 99,745 · 119,694 · 139,643 · 159,592 · 179,541 · 199,490

Sums & aliquot sequence

As a sum of two squares: 82² + 115²
As consecutive integers: 9,974 + 9,975

Continued fraction of √n

√19,949 = [141; (4, 6, 1, 1, 1, 3, 1, 1, 70, 16, 1, 1, 1, 1, 16, 70, 1, 1, 3, 1, 1, 1, 6, 4, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
nineteen thousand nine hundred forty-nine
Ordinal
19949th
Binary
100110111101101
Octal
46755
Hexadecimal
0x4DED
Base64
Te0=
One's complement
45,586 (16-bit)
Scientific notation
1.9949 × 10⁴
As a duration
19,949 s = 5 hours, 32 minutes, 29 seconds
In other bases
ternary (3) 1000100212
quaternary (4) 10313231
quinary (5) 1114244
senary (6) 232205
septenary (7) 112106
nonary (9) 30325
undecimal (11) 13a96
duodecimal (12) b665
tridecimal (13) 9107
tetradecimal (14) 73ad
pentadecimal (15) 5d9e

As an angle

19,949° = 55 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιθϡμθʹ
Mayan (base 20)
𝋢·𝋩·𝋱·𝋩
Chinese
一萬九千九百四十九
Chinese (financial)
壹萬玖仟玖佰肆拾玖
In other modern scripts
Eastern Arabic ١٩٩٤٩ Devanagari १९९४९ Bengali ১৯৯৪৯ Tamil ௧௯௯௪௯ Thai ๑๙๙๔๙ Tibetan ༡༩༩༤༩ Khmer ១៩៩៤៩ Lao ໑໙໙໔໙ Burmese ၁၉၉၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 19,949 = 0
e — Euler's number (e)
Digit 19,949 = 0
φ — Golden ratio (φ)
Digit 19,949 = 8
√2 — Pythagoras's (√2)
Digit 19,949 = 3
ln 2 — Natural log of 2
Digit 19,949 = 8
γ — Euler-Mascheroni (γ)
Digit 19,949 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 19,937 (gap of 12)
  • Next prime: 19,961 (gap of 12)
Unicode codepoint
Hexagram For Pushing Upward
U+4DED
Other symbol (So)

UTF-8 encoding: E4 B7 AD (3 bytes).

Hex color
#004DED
RGB(0, 77, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.77.237.

Address
0.0.77.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.77.237

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

Musical pitch

Heard as a frequency, 19,949 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯10 (19912.1 Hz, +3¢)
  • Scientific pitch (C4 = 256 Hz): D♯10 (19484 Hz, +41¢)
  • Baroque pitch (A4 = 415 Hz): E10 (19897.5 Hz, +4¢)
Position in π

The digit sequence 19949 first appears in π at position 55,050 of the decimal expansion (the 55,050ordinal-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.