Live analysis

10,022

10,022 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

10,022 (ten thousand twenty-two) is an even 5-digit number. It is a composite number with 4 divisors, and factors as 2 × 5,011. Written other ways, in hexadecimal, 0x2726.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

10,010 10,011 10,012 10,013 10,014 10,015 10,016 10,017 10,018 10,019 10,020 10,021 10,022 10,023 10,024 10,025 10,026 10,027 10,028 10,029 10,030 10,031 10,032 10,033 10,034

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 22,001
Recamán's sequence: a(4,831) = 10,022
Square (n²): 100,440,484
Cube (n³): 1,006,614,530,648
Divisor count: 4
σ(n) — sum of divisors: 15,036
φ(n) — Euler's totient: 5,010
Sum of prime factors: 5,013

Primality

Prime factorization: 2 × 5011

Nearest primes: 10,009 (−13) · 10,037 (+15)

Divisors & multiples

All divisors (4)

1 · 2 · 5011 (half) · 10022

Aliquot sum (sum of proper divisors): 5,014

Factor pairs (a × b = 10,022)

1 × 10022

2 × 5011

First multiples

10,022 · 20,044 (double) · 30,066 · 40,088 · 50,110 · 60,132 · 70,154 · 80,176 · 90,198 · 100,220

Sums & aliquot sequence

As consecutive integers: 2,504 + 2,505 + 2,506 + 2,507

Aliquot sequence: 10,022 → 5,014 → 2,906 → 1,456 → 2,016 → 4,536 → 9,984 → 18,632 → 18,628 → 13,978 → 7,802 → 4,294 → 2,546 → 1,534 → 986 → 634 → 320 — unresolved within range

Continued fraction of √n

√10,022 = [100; (9, 10, 2, 2, 1, 11, 15, 3, 6, 7, 1, 1, 5, 2, 1, 4, 5, 18, 100, 18, 5, 4, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: ten thousand twenty-two
Ordinal: 10022nd
Binary: 10011100100110
Octal: 23446
Hexadecimal: 0x2726
Base64: JyY=
One's complement: 55,513 (16-bit)
Scientific notation: 1.0022 × 10⁴
As a duration: 10,022 s = 2 hours, 47 minutes, 2 seconds

In other bases

ternary (3) 111202012

quaternary (4) 2130212

quinary (5) 310042

senary (6) 114222

septenary (7) 41135

nonary (9) 14665

undecimal (11) 7591

duodecimal (12) 5972

tridecimal (13) 473c

tetradecimal (14) 391c

pentadecimal (15) 2e82

As an angle

10,022° = 27 × 360° + 302°

302° ≈ 5.271 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓂍𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ικβʹ
Mayan (base 20): 𝋡·𝋥·𝋡·𝋢
Chinese: 一萬零二十二
Chinese (financial): 壹萬零貳拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٢ Devanagari १००२२ Bengali ১০০২২ Tamil ௧௦௦௨௨ Thai ๑๐๐๒๒ Tibetan ༡༠༠༢༢ Khmer ១០០២២ Lao ໑໐໐໒໒ Burmese ၁၀၀၂၂

Digit at this position in famous constants

π — Pi (π): Digit 10,022 = 4
e — Euler's number (e): Digit 10,022 = 5
φ — Golden ratio (φ): Digit 10,022 = 9
√2 — Pythagoras's (√2): Digit 10,022 = 6
ln 2 — Natural log of 2: Digit 10,022 = 6
γ — Euler-Mascheroni (γ): Digit 10,022 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10022, here are decompositions:

13 + 10009 = 10022
73 + 9949 = 10022
139 + 9883 = 10022
151 + 9871 = 10022
163 + 9859 = 10022
193 + 9829 = 10022
211 + 9811 = 10022
241 + 9781 = 10022

Showing the first eight; more decompositions exist.

Unicode codepoint

✦

Black Four Pointed Star

U+2726

Other symbol (So)

UTF-8 encoding: E2 9C A6 (3 bytes).

Lookup U+2726 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002726

RGB(0, 39, 38)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.38.

Address: 0.0.39.38
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.38

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

Musical pitch

Heard as a frequency, 10,022 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +49¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +13¢)

Position in π

The digit sequence 10022 first appears in π at position 6,739 of the decimal expansion (the 6,739ordinal-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 10022 on Pi Search ↗