Number

3,023

3,023 is a prime, odd.

3,023 (three thousand twenty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMXXIII and in binary, 101111001111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Safe Prime Self Number Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

3,011 3,012 3,013 3,014 3,015 3,016 3,017 3,018 3,019 3,020 3,021 3,022 3,023 3,024 3,025 3,026 3,027 3,028 3,029 3,030 3,031 3,032 3,033 3,034 3,035

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 3,203
Recamán's sequence: a(1,485) = 3,023
Square (n²): 9,138,529
Cube (n³): 27,625,773,167
Divisor count: 2
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 3,022

Primality

3,023 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3023

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,023)

1 × 3023

First multiples

3,023 · 6,046 (double) · 9,069 · 12,092 · 15,115 · 18,138 · 21,161 · 24,184 · 27,207 · 30,230

Sums & aliquot sequence

As consecutive integers: 1,511 + 1,512

Continued fraction of √n

√3,023 = [54; (1, 53, 1, 108)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand twenty-three
Ordinal: 3023rd
Roman numeral: MMMXXIII
Binary: 101111001111
Octal: 5717
Hexadecimal: 0xBCF
Base64: C88=
One's complement: 62,512 (16-bit)
Scientific notation: 3.023 × 10³
As a duration: 3,023 s = 50 minutes, 23 seconds

In other bases

ternary (3) 11010222

quaternary (4) 233033

quinary (5) 44043

senary (6) 21555

septenary (7) 11546

nonary (9) 4128

undecimal (11) 22a9

duodecimal (12) 18bb

tridecimal (13) 14b7

tetradecimal (14) 115d

pentadecimal (15) d68

As an angle

3,023° = 8 × 360° + 143°

143° ≈ 2.496 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵γκγʹ
Mayan (base 20): 𝋧·𝋫·𝋣
Chinese: 三千零二十三
Chinese (financial): 參仟零貳拾參

In other modern scripts

Eastern Arabic ٣٠٢٣ Devanagari ३०२३ Bengali ৩০২৩ Tamil ௩௦௨௩ Thai ๓๐๒๓ Tibetan ༣༠༢༣ Khmer ៣០២៣ Lao ໓໐໒໓ Burmese ၃၀၂၃

Digit at this position in famous constants

π — Pi (π): Digit 3,023 = 2
e — Euler's number (e): Digit 3,023 = 7
φ — Golden ratio (φ): Digit 3,023 = 2
√2 — Pythagoras's (√2): Digit 3,023 = 4
ln 2 — Natural log of 2: Digit 3,023 = 9
γ — Euler-Mascheroni (γ): Digit 3,023 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,019 (gap of 4)
Next prime: 3,037 (gap of 14)

Pair status: cousin with 3019.

Hex color

#000BCF

RGB(0, 11, 207)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.207.

Address: 0.0.11.207
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.207

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

Musical pitch

Heard as a frequency, 3,023 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +36¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -26¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +38¢)

Position in π

The digit sequence 3023 first appears in π at position 10,714 of the decimal expansion (the 10,714ordinal-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.

Look up 3023 on Pi Search ↗