Live analysis

10,422

10,422 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.).

10,422 (ten thousand four hundred twenty-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 193. Its proper divisors sum to 12,858, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28B6.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

10,410 10,411 10,412 10,413 10,414 10,415 10,416 10,417 10,418 10,419 10,420 10,421 10,422 10,423 10,424 10,425 10,426 10,427 10,428 10,429 10,430 10,431 10,432 10,433 10,434

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 22,401
Recamán's sequence: a(50,675) = 10,422
Square (n²): 108,618,084
Cube (n³): 1,132,017,671,448
Divisor count: 16
σ(n) — sum of divisors: 23,280
φ(n) — Euler's totient: 3,456
Sum of prime factors: 204

Primality

Prime factorization: 2 × 3 ³ × 193

Nearest primes: 10,399 (−23) · 10,427 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 193 · 386 · 579 · 1158 · 1737 · 3474 · 5211 (half) · 10422

Aliquot sum (sum of proper divisors): 12,858

Factor pairs (a × b = 10,422)

1 × 10422

2 × 5211

3 × 3474

6 × 1737

9 × 1158

18 × 579

27 × 386

54 × 193

First multiples

10,422 · 20,844 (double) · 31,266 · 41,688 · 52,110 · 62,532 · 72,954 · 83,376 · 93,798 · 104,220

Sums & aliquot sequence

As consecutive integers: 3,473 + 3,474 + 3,475 2,604 + 2,605 + 2,606 + 2,607 1,154 + 1,155 + … + 1,162 863 + 864 + … + 874

Aliquot sequence: 10,422 → 12,858 → 12,870 → 26,442 → 35,802 → 55,674 → 68,166 → 100,938 → 100,950 → 149,778 → 182,970 → 322,470 → 516,186 → 760,614 → 850,314 → 850,326 → 940,074 — unresolved within range

Continued fraction of √n

√10,422 = [102; (11, 2, 1, 22, 102, 22, 1, 2, 11, 204)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: ten thousand four hundred twenty-two
Ordinal: 10422nd
Binary: 10100010110110
Octal: 24266
Hexadecimal: 0x28B6
Base64: KLY=
One's complement: 55,113 (16-bit)
Scientific notation: 1.0422 × 10⁴
As a duration: 10,422 s = 2 hours, 53 minutes, 42 seconds

In other bases

ternary (3) 112022000

quaternary (4) 2202312

quinary (5) 313142

senary (6) 120130

septenary (7) 42246

nonary (9) 15260

undecimal (11) 7915

duodecimal (12) 6046

tridecimal (13) 4989

tetradecimal (14) 3b26

pentadecimal (15) 314c

As an angle

10,422° = 28 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιυκβʹ
Mayan (base 20): 𝋡·𝋦·𝋡·𝋢
Chinese: 一萬零四百二十二
Chinese (financial): 壹萬零肆佰貳拾貳

In other modern scripts

Eastern Arabic ١٠٤٢٢ Devanagari १०४२२ Bengali ১০৪২২ Tamil ௧௦௪௨௨ Thai ๑๐๔๒๒ Tibetan ༡༠༤༢༢ Khmer ១០៤២២ Lao ໑໐໔໒໒ Burmese ၁၀၄၂၂

Digit at this position in famous constants

π — Pi (π): Digit 10,422 = 7
e — Euler's number (e): Digit 10,422 = 1
φ — Golden ratio (φ): Digit 10,422 = 2
√2 — Pythagoras's (√2): Digit 10,422 = 6
ln 2 — Natural log of 2: Digit 10,422 = 4
γ — Euler-Mascheroni (γ): Digit 10,422 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10422, here are decompositions:

23 + 10399 = 10422
31 + 10391 = 10422
53 + 10369 = 10422
79 + 10343 = 10422
89 + 10333 = 10422
101 + 10321 = 10422
109 + 10313 = 10422
149 + 10273 = 10422

Showing the first eight; more decompositions exist.

Unicode codepoint

⢶

Braille Pattern Dots-23568

U+28B6

Other symbol (So)

UTF-8 encoding: E2 A2 B6 (3 bytes).

Lookup U+28B6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0028B6

RGB(0, 40, 182)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.182.

Address: 0.0.40.182
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.40.182

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

Musical pitch

Heard as a frequency, 10,422 Hz is closest to:

Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -21¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +17¢)
Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -20¢)

Position in π

The digit sequence 10422 first appears in π at position 10,326 of the decimal expansion (the 10,326ordinal-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 10422 on Pi Search ↗