Live analysis

6,740

6,740 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.).

6,740 (six thousand seven hundred forty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 337. Its proper divisors sum to 7,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A54.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

6,728 6,729 6,730 6,731 6,732 6,733 6,734 6,735 6,736 6,737 6,738 6,739 6,740 6,741 6,742 6,743 6,744 6,745 6,746 6,747 6,748 6,749 6,750 6,751 6,752

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 476
Recamán's sequence: a(26,864) = 6,740
Square (n²): 45,427,600
Cube (n³): 306,182,024,000
Divisor count: 12
σ(n) — sum of divisors: 14,196
φ(n) — Euler's totient: 2,688
Sum of prime factors: 346

Primality

Prime factorization: 2 ² × 5 × 337

Nearest primes: 6,737 (−3) · 6,761 (+21)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 337 · 674 · 1348 · 1685 · 3370 (half) · 6740

Aliquot sum (sum of proper divisors): 7,456

Factor pairs (a × b = 6,740)

1 × 6740

2 × 3370

4 × 1685

5 × 1348

10 × 674

20 × 337

First multiples

6,740 · 13,480 (double) · 20,220 · 26,960 · 33,700 · 40,440 · 47,180 · 53,920 · 60,660 · 67,400

Sums & aliquot sequence

As a sum of two squares: 4² + 82² = 46² + 68²

As consecutive integers: 1,346 + 1,347 + 1,348 + 1,349 + 1,350 839 + 840 + … + 846 149 + 150 + … + 188

Aliquot sequence: 6,740 → 7,456 → 7,286 → 3,646 → 1,826 → 1,198 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 → 41 → 1 — unresolved within range

Continued fraction of √n

√6,740 = [82; (10, 3, 1, 9, 1, 1, 40, 1, 1, 9, 1, 3, 10, 164)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: six thousand seven hundred forty
Ordinal: 6740th
Binary: 1101001010100
Octal: 15124
Hexadecimal: 0x1A54
Base64: GlQ=
One's complement: 58,795 (16-bit)
Scientific notation: 6.74 × 10³
As a duration: 6,740 s = 1 hour, 52 minutes, 20 seconds

In other bases

ternary (3) 100020122

quaternary (4) 1221110

quinary (5) 203430

senary (6) 51112

septenary (7) 25436

nonary (9) 10218

undecimal (11) 5078

duodecimal (12) 3a98

tridecimal (13) 30b6

tetradecimal (14) 2656

pentadecimal (15) 1ee5

As an angle

6,740° = 18 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϛψμʹ
Mayan (base 20): 𝋰·𝋱·𝋠
Chinese: 六千七百四十
Chinese (financial): 陸仟柒佰肆拾

In other modern scripts

Eastern Arabic ٦٧٤٠ Devanagari ६७४० Bengali ৬৭৪০ Tamil ௬௭௪௦ Thai ๖๗๔๐ Tibetan ༦༧༤༠ Khmer ៦៧៤០ Lao ໖໗໔໐ Burmese ၆၇၄၀

Digit at this position in famous constants

π — Pi (π): Digit 6,740 = 1
e — Euler's number (e): Digit 6,740 = 9
φ — Golden ratio (φ): Digit 6,740 = 5
√2 — Pythagoras's (√2): Digit 6,740 = 3
ln 2 — Natural log of 2: Digit 6,740 = 8
γ — Euler-Mascheroni (γ): Digit 6,740 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6740, here are decompositions:

3 + 6737 = 6740
7 + 6733 = 6740
31 + 6709 = 6740
37 + 6703 = 6740
61 + 6679 = 6740
67 + 6673 = 6740
79 + 6661 = 6740
103 + 6637 = 6740

Showing the first eight; more decompositions exist.

Unicode codepoint

ᩔ

Tai Tham Letter Great Sa

U+1A54

Other letter (Lo)

UTF-8 encoding: E1 A9 94 (3 bytes).

Lookup U+1A54 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001A54

RGB(0, 26, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.84.

Address: 0.0.26.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.26.84

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

Musical pitch

Heard as a frequency, 6,740 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +26¢)

Position in π

The digit sequence 6740 first appears in π at position 25,523 of the decimal expansion (the 25,523ordinal-suffix:rd 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 6740 on Pi Search ↗