Live analysis

13,422

13,422 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.).

13,422 (thirteen thousand four hundred twenty-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 2,237. Its proper divisors sum to 13,434, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x346E.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,410 13,411 13,412 13,413 13,414 13,415 13,416 13,417 13,418 13,419 13,420 13,421 13,422 13,423 13,424 13,425 13,426 13,427 13,428 13,429 13,430 13,431 13,432 13,433 13,434

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 48
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 22,431
Recamán's sequence: a(47,431) = 13,422
Square (n²): 180,150,084
Cube (n³): 2,417,974,427,448
Divisor count: 8
σ(n) — sum of divisors: 26,856
φ(n) — Euler's totient: 4,472
Sum of prime factors: 2,242

Primality

Prime factorization: 2 × 3 × 2237

Nearest primes: 13,421 (−1) · 13,441 (+19)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 2237 · 4474 · 6711 (half) · 13422

Aliquot sum (sum of proper divisors): 13,434

Factor pairs (a × b = 13,422)

1 × 13422

2 × 6711

3 × 4474

6 × 2237

First multiples

13,422 · 26,844 (double) · 40,266 · 53,688 · 67,110 · 80,532 · 93,954 · 107,376 · 120,798 · 134,220

Sums & aliquot sequence

As consecutive integers: 4,473 + 4,474 + 4,475 3,354 + 3,355 + 3,356 + 3,357 1,113 + 1,114 + … + 1,124

Aliquot sequence: 13,422 → 13,434 → 13,446 → 17,046 → 19,926 → 25,938 → 35,838 → 49,338 → 57,600 → 148,333 → 12,787 → 693 → 555 → 357 → 219 → 77 → 19 — unresolved within range

Continued fraction of √n

√13,422 = [115; (1, 5, 1, 4, 1, 1, 7, 2, 3, 1, 9, 3, 2, 1, 4, 4, 3, 38, 3, 4, 4, 1, 2, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand four hundred twenty-two
Ordinal: 13422nd
Binary: 11010001101110
Octal: 32156
Hexadecimal: 0x346E
Base64: NG4=
One's complement: 52,113 (16-bit)
Scientific notation: 1.3422 × 10⁴
As a duration: 13,422 s = 3 hours, 43 minutes, 42 seconds

In other bases

ternary (3) 200102010

quaternary (4) 3101232

quinary (5) 412142

senary (6) 142050

septenary (7) 54063

nonary (9) 20363

undecimal (11) a0a2

duodecimal (12) 7926

tridecimal (13) 6156

tetradecimal (14) 4c6a

pentadecimal (15) 3e9c

As an angle

13,422° = 37 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγυκβʹ
Mayan (base 20): 𝋡·𝋭·𝋫·𝋢
Chinese: 一萬三千四百二十二
Chinese (financial): 壹萬參仟肆佰貳拾貳

In other modern scripts

Eastern Arabic ١٣٤٢٢ Devanagari १३४२२ Bengali ১৩৪২২ Tamil ௧௩௪௨௨ Thai ๑๓๔๒๒ Tibetan ༡༣༤༢༢ Khmer ១៣៤២២ Lao ໑໓໔໒໒ Burmese ၁၃၄၂၂

Digit at this position in famous constants

π — Pi (π): Digit 13,422 = 1
e — Euler's number (e): Digit 13,422 = 1
φ — Golden ratio (φ): Digit 13,422 = 9
√2 — Pythagoras's (√2): Digit 13,422 = 7
ln 2 — Natural log of 2: Digit 13,422 = 0
γ — Euler-Mascheroni (γ): Digit 13,422 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13422, here are decompositions:

5 + 13417 = 13422
11 + 13411 = 13422
23 + 13399 = 13422
41 + 13381 = 13422
83 + 13339 = 13422
109 + 13313 = 13422
113 + 13309 = 13422
131 + 13291 = 13422

Showing the first eight; more decompositions exist.

Unicode codepoint

㑮

CJK Unified Ideograph-346E

U+346E

Other letter (Lo)

UTF-8 encoding: E3 91 AE (3 bytes).

Lookup U+346E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00346E

RGB(0, 52, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.110.

Address: 0.0.52.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.110

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

Musical pitch

Heard as a frequency, 13,422 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +17¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -45¢ — about midway to G♯9)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +18¢)

Position in π

The digit sequence 13422 first appears in π at position 49,813 of the decimal expansion (the 49,813ordinal-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 13422 on Pi Search ↗