Live analysis

13,722

13,722 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.).

13,722 (thirteen thousand seven hundred twenty-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 2,287. Its proper divisors sum to 13,734, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x359A.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,710 13,711 13,712 13,713 13,714 13,715 13,716 13,717 13,718 13,719 13,720 13,721 13,722 13,723 13,724 13,725 13,726 13,727 13,728 13,729 13,730 13,731 13,732 13,733 13,734

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 84
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 22,731
Recamán's sequence: a(4,144) = 13,722
Square (n²): 188,293,284
Cube (n³): 2,583,760,443,048
Divisor count: 8
σ(n) — sum of divisors: 27,456
φ(n) — Euler's totient: 4,572
Sum of prime factors: 2,292

Primality

Prime factorization: 2 × 3 × 2287

Nearest primes: 13,721 (−1) · 13,723 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 2287 · 4574 · 6861 (half) · 13722

Aliquot sum (sum of proper divisors): 13,734

Factor pairs (a × b = 13,722)

1 × 13722

2 × 6861

3 × 4574

6 × 2287

First multiples

13,722 · 27,444 (double) · 41,166 · 54,888 · 68,610 · 82,332 · 96,054 · 109,776 · 123,498 · 137,220

Sums & aliquot sequence

As consecutive integers: 4,573 + 4,574 + 4,575 3,429 + 3,430 + 3,431 + 3,432 1,138 + 1,139 + … + 1,149

Aliquot sequence: 13,722 → 13,734 → 20,586 → 22,038 → 22,050 → 46,863 → 23,025 → 15,167 → 553 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,722 = [117; (7, 10, 1, 1, 38, 1, 1, 10, 7, 234)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand seven hundred twenty-two
Ordinal: 13722nd
Binary: 11010110011010
Octal: 32632
Hexadecimal: 0x359A
Base64: NZo=
One's complement: 51,813 (16-bit)
Scientific notation: 1.3722 × 10⁴
As a duration: 13,722 s = 3 hours, 48 minutes, 42 seconds

In other bases

ternary (3) 200211020

quaternary (4) 3112122

quinary (5) 414342

senary (6) 143310

septenary (7) 55002

nonary (9) 20736

undecimal (11) a345

duodecimal (12) 7b36

tridecimal (13) 6327

tetradecimal (14) 5002

pentadecimal (15) 40ec

As an angle

13,722° = 38 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγψκβʹ
Mayan (base 20): 𝋡·𝋮·𝋦·𝋢
Chinese: 一萬三千七百二十二
Chinese (financial): 壹萬參仟柒佰貳拾貳

In other modern scripts

Eastern Arabic ١٣٧٢٢ Devanagari १३७२२ Bengali ১৩৭২২ Tamil ௧௩௭௨௨ Thai ๑๓๗๒๒ Tibetan ༡༣༧༢༢ Khmer ១៣៧២២ Lao ໑໓໗໒໒ Burmese ၁၃၇၂၂

Digit at this position in famous constants

π — Pi (π): Digit 13,722 = 2
e — Euler's number (e): Digit 13,722 = 7
φ — Golden ratio (φ): Digit 13,722 = 3
√2 — Pythagoras's (√2): Digit 13,722 = 2
ln 2 — Natural log of 2: Digit 13,722 = 1
γ — Euler-Mascheroni (γ): Digit 13,722 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13722, here are decompositions:

11 + 13711 = 13722
13 + 13709 = 13722
29 + 13693 = 13722
31 + 13691 = 13722
41 + 13681 = 13722
43 + 13679 = 13722
53 + 13669 = 13722
73 + 13649 = 13722

Showing the first eight; more decompositions exist.

Unicode codepoint

㖚

CJK Unified Ideograph-359A

U+359A

Other letter (Lo)

UTF-8 encoding: E3 96 9A (3 bytes).

Lookup U+359A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00359A

RGB(0, 53, 154)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.154.

Address: 0.0.53.154
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.154

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

Musical pitch

Heard as a frequency, 13,722 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -45¢ — about midway to G♯9)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -7¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -43¢)

Position in π

The digit sequence 13722 first appears in π at position 225,639 of the decimal expansion (the 225,639ordinal-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 13722 on Pi Search ↗