Live analysis

13,740

13,740 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.).

13,740 (thirteen thousand seven hundred forty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 229. Its proper divisors sum to 24,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35AC.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 13,747 13,748 13,749 13,750 13,751 13,752

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 4,731
Recamán's sequence: a(21,236) = 13,740
Square (n²): 188,787,600
Cube (n³): 2,593,941,624,000
Divisor count: 24
σ(n) — sum of divisors: 38,640
φ(n) — Euler's totient: 3,648
Sum of prime factors: 241

Primality

Prime factorization: 2 ² × 3 × 5 × 229

Nearest primes: 13,729 (−11) · 13,751 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 229 · 458 · 687 · 916 · 1145 · 1374 · 2290 · 2748 · 3435 · 4580 · 6870 (half) · 13740

Aliquot sum (sum of proper divisors): 24,900

Factor pairs (a × b = 13,740)

1 × 13740

2 × 6870

3 × 4580

4 × 3435

5 × 2748

6 × 2290

10 × 1374

12 × 1145

15 × 916

20 × 687

30 × 458

60 × 229

First multiples

13,740 · 27,480 (double) · 41,220 · 54,960 · 68,700 · 82,440 · 96,180 · 109,920 · 123,660 · 137,400

Sums & aliquot sequence

As consecutive integers: 4,579 + 4,580 + 4,581 2,746 + 2,747 + 2,748 + 2,749 + 2,750 1,714 + 1,715 + … + 1,721 909 + 910 + … + 923

Aliquot sequence: 13,740 → 24,900 → 48,012 → 64,044 → 102,276 → 163,164 → 217,580 → 314,644 → 286,124 → 218,380 → 250,340 → 275,416 → 246,584 → 251,536 → 244,464 → 445,968 → 875,872 — unresolved within range

Continued fraction of √n

√13,740 = [117; (4, 1, 1, 2, 4, 1, 14, 1, 4, 2, 1, 1, 4, 234)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand seven hundred forty
Ordinal: 13740th
Binary: 11010110101100
Octal: 32654
Hexadecimal: 0x35AC
Base64: Naw=
One's complement: 51,795 (16-bit)
Scientific notation: 1.374 × 10⁴
As a duration: 13,740 s = 3 hours, 49 minutes

In other bases

ternary (3) 200211220

quaternary (4) 3112230

quinary (5) 414430

senary (6) 143340

septenary (7) 55026

nonary (9) 20756

undecimal (11) a361

duodecimal (12) 7b50

tridecimal (13) 633c

tetradecimal (14) 5016

pentadecimal (15) 4110

As an angle

13,740° = 38 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ιγψμʹ
Mayan (base 20): 𝋡·𝋮·𝋧·𝋠
Chinese: 一萬三千七百四十
Chinese (financial): 壹萬參仟柒佰肆拾

In other modern scripts

Eastern Arabic ١٣٧٤٠ Devanagari १३७४० Bengali ১৩৭৪০ Tamil ௧௩௭௪௦ Thai ๑๓๗๔๐ Tibetan ༡༣༧༤༠ Khmer ១៣៧៤០ Lao ໑໓໗໔໐ Burmese ၁၃၇၄၀

Digit at this position in famous constants

π — Pi (π): Digit 13,740 = 0
e — Euler's number (e): Digit 13,740 = 7
φ — Golden ratio (φ): Digit 13,740 = 5
√2 — Pythagoras's (√2): Digit 13,740 = 0
ln 2 — Natural log of 2: Digit 13,740 = 8
γ — Euler-Mascheroni (γ): Digit 13,740 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13740, here are decompositions:

11 + 13729 = 13740
17 + 13723 = 13740
19 + 13721 = 13740
29 + 13711 = 13740
31 + 13709 = 13740
43 + 13697 = 13740
47 + 13693 = 13740
53 + 13687 = 13740

Showing the first eight; more decompositions exist.

Unicode codepoint

㖬

CJK Unified Ideograph-35Ac

U+35AC

Other letter (Lo)

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

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

Hex color

#0035AC

RGB(0, 53, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.172.

Address: 0.0.53.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.172

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

Musical pitch

Heard as a frequency, 13,740 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -42¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -5¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -41¢)

Position in π

The digit sequence 13740 first appears in π at position 48,945 of the decimal expansion (the 48,945ordinal-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 13740 on Pi Search ↗