Number

9,013

9,013 is a prime, odd.

9,013 (nine thousand thirteen) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2335.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

9,001 9,002 9,003 9,004 9,005 9,006 9,007 9,008 9,009 9,010 9,011 9,012 9,013 9,014 9,015 9,016 9,017 9,018 9,019 9,020 9,021 9,022 9,023 9,024 9,025

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 3,109
Recamán's sequence: a(24,570) = 9,013
Square (n²): 81,234,169
Cube (n³): 732,163,565,197
Divisor count: 2
σ(n) — sum of divisors: 9,014
φ(n) — Euler's totient: 9,012

Primality

9,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 9013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 9,013)

1 × 9013

First multiples

9,013 · 18,026 (double) · 27,039 · 36,052 · 45,065 · 54,078 · 63,091 · 72,104 · 81,117 · 90,130

Sums & aliquot sequence

As a sum of two squares: 38² + 87²

As consecutive integers: 4,506 + 4,507

Continued fraction of √n

√9,013 = [94; (1, 14, 1, 4, 1, 4, 2, 3, 1, 6, 3, 1, 8, 3, 1, 1, 6, 4, 1, 2, 1, 1, 9, 2, …)]

Representations

In words: nine thousand thirteen
Ordinal: 9013th
Binary: 10001100110101
Octal: 21465
Hexadecimal: 0x2335
Base64: IzU=
One's complement: 56,522 (16-bit)
Scientific notation: 9.013 × 10³
As a duration: 9,013 s = 2 hours, 30 minutes, 13 seconds

In other bases

ternary (3) 110100211

quaternary (4) 2030311

quinary (5) 242023

senary (6) 105421

septenary (7) 35164

nonary (9) 13324

undecimal (11) 6854

duodecimal (12) 5271

tridecimal (13) 4144

tetradecimal (14) 33db

pentadecimal (15) 2a0d

As an angle

9,013° = 25 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian): ͵θιγʹ
Mayan (base 20): 𝋡·𝋢·𝋪·𝋭
Chinese: 九千零一十三
Chinese (financial): 玖仟零壹拾參

In other modern scripts

Eastern Arabic ٩٠١٣ Devanagari ९०१३ Bengali ৯০১৩ Tamil ௯௦௧௩ Thai ๙๐๑๓ Tibetan ༩༠༡༣ Khmer ៩០១៣ Lao ໙໐໑໓ Burmese ၉၀၁၃

Digit at this position in famous constants

π — Pi (π): Digit 9,013 = 6
e — Euler's number (e): Digit 9,013 = 6
φ — Golden ratio (φ): Digit 9,013 = 9
√2 — Pythagoras's (√2): Digit 9,013 = 0
ln 2 — Natural log of 2: Digit 9,013 = 1
γ — Euler-Mascheroni (γ): Digit 9,013 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 9,011 (gap of 2)
Next prime: 9,029 (gap of 16)

Pair status: twin with 9011.

Unicode codepoint

⌵

Countersink

U+2335

Other symbol (So)

UTF-8 encoding: E2 8C B5 (3 bytes).

Lookup U+2335 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002335

RGB(0, 35, 53)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.35.53.

Address: 0.0.35.53
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.35.53

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

Musical pitch

Heard as a frequency, 9,013 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, +28¢)
Scientific pitch (C4 = 256 Hz): D9 (9195.2 Hz, -35¢)
Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, +29¢)

Position in π

The digit sequence 9013 first appears in π at position 17,150 of the decimal expansion (the 17,150ordinal-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 9013 on Pi Search ↗