Live analysis

6,720

6,720 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.).

6,720 (six thousand seven hundred twenty) is an even 4-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 7. Its proper divisors sum to 17,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A40.

Abundant Number Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

6,708 6,709 6,710 6,711 6,712 6,713 6,714 6,715 6,716 6,717 6,718 6,719 6,720 6,721 6,722 6,723 6,724 6,725 6,726 6,727 6,728 6,729 6,730 6,731 6,732

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 13 bits
Reversed: 276
Recamán's sequence: a(11,767) = 6,720
Square (n²): 45,158,400
Cube (n³): 303,464,448,000
Divisor count: 56
σ(n) — sum of divisors: 24,384
φ(n) — Euler's totient: 1,536
Sum of prime factors: 27

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 7

Nearest primes: 6,719 (−1) · 6,733 (+13)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 64 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 140 · 160 · 168 · 192 · 210 · 224 · 240 · 280 · 320 · 336 · 420 · 448 · 480 · 560 · 672 · 840 · 960 · 1120 · 1344 · 1680 · 2240 · 3360 (half) · 6720

Aliquot sum (sum of proper divisors): 17,664

Factor pairs (a × b = 6,720)

1 × 6720

2 × 3360

3 × 2240

4 × 1680

5 × 1344

6 × 1120

7 × 960

8 × 840

10 × 672

12 × 560

14 × 480

15 × 448

16 × 420

20 × 336

21 × 320

24 × 280

28 × 240

30 × 224

32 × 210

35 × 192

40 × 168

42 × 160

48 × 140

56 × 120

60 × 112

64 × 105

70 × 96

80 × 84

First multiples

6,720 · 13,440 (double) · 20,160 · 26,880 · 33,600 · 40,320 · 47,040 · 53,760 · 60,480 · 67,200

Sums & aliquot sequence

As consecutive integers: 2,239 + 2,240 + 2,241 1,342 + 1,343 + 1,344 + 1,345 + 1,346 957 + 958 + … + 963 441 + 442 + … + 455

Aliquot sequence: 6,720 → 17,664 → 31,392 → 58,698 → 71,862 → 100,938 → 100,950 → 149,778 → 182,970 → 322,470 → 516,186 → 760,614 → 850,314 → 850,326 → 940,074 → 940,086 → 1,470,234 — unresolved within range

Continued fraction of √n

√6,720 = [81; (1, 39, 1, 162)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: six thousand seven hundred twenty
Ordinal: 6720th
Binary: 1101001000000
Octal: 15100
Hexadecimal: 0x1A40
Base64: GkA=
One's complement: 58,815 (16-bit)
Scientific notation: 6.72 × 10³
As a duration: 6,720 s = 1 hour, 52 minutes

In other bases

ternary (3) 100012220

quaternary (4) 1221000

quinary (5) 203340

senary (6) 51040

septenary (7) 25410

nonary (9) 10186

undecimal (11) 505a

duodecimal (12) 3a80

tridecimal (13) 309c

tetradecimal (14) 2640

pentadecimal (15) 1ed0

As an angle

6,720° = 18 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϛψκʹ
Mayan (base 20): 𝋰·𝋰·𝋠
Chinese: 六千七百二十
Chinese (financial): 陸仟柒佰貳拾

In other modern scripts

Eastern Arabic ٦٧٢٠ Devanagari ६७२० Bengali ৬৭২০ Tamil ௬௭௨௦ Thai ๖๗๒๐ Tibetan ༦༧༢༠ Khmer ៦៧២០ Lao ໖໗໒໐ Burmese ၆၇၂၀

Digit at this position in famous constants

π — Pi (π): Digit 6,720 = 1
e — Euler's number (e): Digit 6,720 = 6
φ — Golden ratio (φ): Digit 6,720 = 3
√2 — Pythagoras's (√2): Digit 6,720 = 2
ln 2 — Natural log of 2: Digit 6,720 = 7
γ — Euler-Mascheroni (γ): Digit 6,720 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6720, here are decompositions:

11 + 6709 = 6720
17 + 6703 = 6720
19 + 6701 = 6720
29 + 6691 = 6720
31 + 6689 = 6720
41 + 6679 = 6720
47 + 6673 = 6720
59 + 6661 = 6720

Showing the first eight; more decompositions exist.

Unicode codepoint

ᩀ

Tai Tham Letter High Ya

U+1A40

Other letter (Lo)

UTF-8 encoding: E1 A9 80 (3 bytes).

Lookup U+1A40 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001A40

RGB(0, 26, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.64.

Address: 0.0.26.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.26.64

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

Musical pitch

Heard as a frequency, 6,720 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +19¢)
Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -43¢)
Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +21¢)

Position in π

The digit sequence 6720 first appears in π at position 23,426 of the decimal expansion (the 23,426ordinal-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 6720 on Pi Search ↗