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Number

19,013

19,013 is a prime, odd.

19,013 (nineteen thousand thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4A45.

Arithmetic Number Centered Square Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
31,091
Square (n²)
361,494,169
Cube (n³)
6,873,088,635,197
Divisor count
2
σ(n) — sum of divisors
19,014
φ(n) — Euler's totient
19,012

Primality

19,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 19013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 19,013)
1 × 19013
First multiples
19,013 · 38,026 (double) · 57,039 · 76,052 · 95,065 · 114,078 · 133,091 · 152,104 · 171,117 · 190,130

Sums & aliquot sequence

As a sum of two squares: 97² + 98²
As consecutive integers: 9,506 + 9,507

Continued fraction of √n

√19,013 = [137; (1, 7, 1, 8, 1, 24, 5, 1, 4, 1, 3, 1, 5, 2, 9, 2, 1, 1, 2, 1, 68, 4, 1, 1, …)]

Representations

In words
nineteen thousand thirteen
Ordinal
19013th
Binary
100101001000101
Octal
45105
Hexadecimal
0x4A45
Base64
SkU=
One's complement
46,522 (16-bit)
Scientific notation
1.9013 × 10⁴
As a duration
19,013 s = 5 hours, 16 minutes, 53 seconds
In other bases
ternary (3) 222002012
quaternary (4) 10221011
quinary (5) 1102023
senary (6) 224005
septenary (7) 106301
nonary (9) 28065
undecimal (11) 13315
duodecimal (12) b005
tridecimal (13) 8867
tetradecimal (14) 6d01
pentadecimal (15) 5978

As an angle

19,013° = 52 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιθιγʹ
Mayan (base 20)
𝋢·𝋧·𝋪·𝋭
Chinese
一萬九千零一十三
Chinese (financial)
壹萬玖仟零壹拾參
In other modern scripts
Eastern Arabic ١٩٠١٣ Devanagari १९०१३ Bengali ১৯০১৩ Tamil ௧௯௦௧௩ Thai ๑๙๐๑๓ Tibetan ༡༩༠༡༣ Khmer ១៩០១៣ Lao ໑໙໐໑໓ Burmese ၁၉၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 19,013 = 3
e — Euler's number (e)
Digit 19,013 = 7
φ — Golden ratio (φ)
Digit 19,013 = 5
√2 — Pythagoras's (√2)
Digit 19,013 = 0
ln 2 — Natural log of 2
Digit 19,013 = 1
γ — Euler-Mascheroni (γ)
Digit 19,013 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 19,009 (gap of 4)
  • Next prime: 19,031 (gap of 18)

Pair status: cousin with 19009.

Unicode codepoint
CJK Unified Ideograph-4A45
U+4A45
Other letter (Lo)

UTF-8 encoding: E4 A9 85 (3 bytes).

Hex color
#004A45
RGB(0, 74, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.74.69.

Address
0.0.74.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.74.69

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

Musical pitch

Heard as a frequency, 19,013 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, +20¢)
  • Scientific pitch (C4 = 256 Hz): D♯10 (19484 Hz, -42¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, +21¢)
Position in π

The digit sequence 19013 first appears in π at position 316,304 of the decimal expansion (the 316,304ordinal-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.