Live analysis

13,734

13,734 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.).

13,734 (thirteen thousand seven hundred thirty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 109. Its proper divisors sum to 20,586, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35A6.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Nonagonal Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

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 13,735 13,736 13,737 13,738 13,739 13,740 13,741 13,742 13,743 13,744 13,745 13,746

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 252
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 43,731
Recamán's sequence: a(21,248) = 13,734
Square (n²): 188,622,756
Cube (n³): 2,590,544,930,904
Divisor count: 24
σ(n) — sum of divisors: 34,320
φ(n) — Euler's totient: 3,888
Sum of prime factors: 124

Primality

Prime factorization: 2 × 3 ² × 7 × 109

Nearest primes: 13,729 (−5) · 13,751 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 109 · 126 · 218 · 327 · 654 · 763 · 981 · 1526 · 1962 · 2289 · 4578 · 6867 (half) · 13734

Aliquot sum (sum of proper divisors): 20,586

Factor pairs (a × b = 13,734)

1 × 13734

2 × 6867

3 × 4578

6 × 2289

7 × 1962

9 × 1526

14 × 981

18 × 763

21 × 654

42 × 327

63 × 218

109 × 126

First multiples

13,734 · 27,468 (double) · 41,202 · 54,936 · 68,670 · 82,404 · 96,138 · 109,872 · 123,606 · 137,340

Sums & aliquot sequence

As consecutive integers: 4,577 + 4,578 + 4,579 3,432 + 3,433 + 3,434 + 3,435 1,959 + 1,960 + … + 1,965 1,522 + 1,523 + … + 1,530

Aliquot sequence: 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

√13,734 = [117; (5, 4, 1, 8, 1, 1, 3, 5, 5, 1, 46, 26, 46, 1, 5, 5, 3, 1, 1, 8, 1, 4, 5, 234)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand seven hundred thirty-four
Ordinal: 13734th
Binary: 11010110100110
Octal: 32646
Hexadecimal: 0x35A6
Base64: NaY=
One's complement: 51,801 (16-bit)
Scientific notation: 1.3734 × 10⁴
As a duration: 13,734 s = 3 hours, 48 minutes, 54 seconds

In other bases

ternary (3) 200211200

quaternary (4) 3112212

quinary (5) 414414

senary (6) 143330

septenary (7) 55020

nonary (9) 20750

undecimal (11) a356

duodecimal (12) 7b46

tridecimal (13) 6336

tetradecimal (14) 5010

pentadecimal (15) 4109

Palindromic in base 5, base 13

As an angle

13,734° = 38 × 360° + 54°

54° ≈ 0.942 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγψλδʹ
Mayan (base 20): 𝋡·𝋮·𝋦·𝋮
Chinese: 一萬三千七百三十四
Chinese (financial): 壹萬參仟柒佰參拾肆

In other modern scripts

Eastern Arabic ١٣٧٣٤ Devanagari १३७३४ Bengali ১৩৭৩৪ Tamil ௧௩௭௩௪ Thai ๑๓๗๓๔ Tibetan ༡༣༧༣༤ Khmer ១៣៧៣៤ Lao ໑໓໗໓໔ Burmese ၁၃၇၃၄

Digit at this position in famous constants

π — Pi (π): Digit 13,734 = 0
e — Euler's number (e): Digit 13,734 = 0
φ — Golden ratio (φ): Digit 13,734 = 5
√2 — Pythagoras's (√2): Digit 13,734 = 3
ln 2 — Natural log of 2: Digit 13,734 = 1
γ — Euler-Mascheroni (γ): Digit 13,734 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13734, here are decompositions:

5 + 13729 = 13734
11 + 13723 = 13734
13 + 13721 = 13734
23 + 13711 = 13734
37 + 13697 = 13734
41 + 13693 = 13734
43 + 13691 = 13734
47 + 13687 = 13734

Showing the first eight; more decompositions exist.

Unicode codepoint

㖦

CJK Unified Ideograph-35A6

U+35A6

Other letter (Lo)

UTF-8 encoding: E3 96 A6 (3 bytes).

Lookup U+35A6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0035A6

RGB(0, 53, 166)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.166.

Address: 0.0.53.166
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.166

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

Musical pitch

Heard as a frequency, 13,734 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -43¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -5¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -42¢)

Position in π

The digit sequence 13734 first appears in π at position 29,294 of the decimal expansion (the 29,294ordinal-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 13734 on Pi Search ↗