Live analysis

2,720

2,720 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.).

2,720 (two thousand seven hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 17. Its proper divisors sum to 4,084, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMDCCXX and in binary, 101010100000.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

2,708 2,709 2,710 2,711 2,712 2,713 2,714 2,715 2,716 2,717 2,718 2,719 2,720 2,721 2,722 2,723 2,724 2,725 2,726 2,727 2,728 2,729 2,730 2,731 2,732

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 272
Recamán's sequence: a(2,815) = 2,720
Square (n²): 7,398,400
Cube (n³): 20,123,648,000
Divisor count: 24
σ(n) — sum of divisors: 6,804
φ(n) — Euler's totient: 1,024
Sum of prime factors: 32

Primality

Prime factorization: 2 ⁵ × 5 × 17

Nearest primes: 2,719 (−1) · 2,729 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 32 · 34 · 40 · 68 · 80 · 85 · 136 · 160 · 170 · 272 · 340 · 544 · 680 · 1360 (half) · 2720

Aliquot sum (sum of proper divisors): 4,084

Factor pairs (a × b = 2,720)

1 × 2720

2 × 1360

4 × 680

5 × 544

8 × 340

10 × 272

16 × 170

17 × 160

20 × 136

32 × 85

34 × 80

40 × 68

First multiples

2,720 · 5,440 (double) · 8,160 · 10,880 · 13,600 · 16,320 · 19,040 · 21,760 · 24,480 · 27,200

Sums & aliquot sequence

As a sum of two squares: 4² + 52² = 28² + 44²

As consecutive integers: 542 + 543 + 544 + 545 + 546 152 + 153 + … + 168 11 + 12 + … + 74

Aliquot sequence: 2,720 → 4,084 → 3,070 → 2,474 → 1,240 → 1,640 → 2,140 → 2,396 → 1,804 → 1,724 → 1,300 → 1,738 → 1,142 → 574 → 434 → 334 → 170 — unresolved within range

Continued fraction of √n

√2,720 = [52; (6, 1, 1, 25, 1, 1, 6, 104)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: two thousand seven hundred twenty
Ordinal: 2720th
Roman numeral: MMDCCXX
Binary: 101010100000
Octal: 5240
Hexadecimal: 0xAA0
Base64: CqA=
One's complement: 62,815 (16-bit)
Scientific notation: 2.72 × 10³
As a duration: 2,720 s = 45 minutes, 20 seconds

In other bases

ternary (3) 10201202

quaternary (4) 222200

quinary (5) 41340

senary (6) 20332

septenary (7) 10634

nonary (9) 3652

undecimal (11) 2053

duodecimal (12) 16a8

tridecimal (13) 1313

tetradecimal (14) dc4

pentadecimal (15) c15

As an angle

2,720° = 7 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵βψκʹ
Mayan (base 20): 𝋦·𝋰·𝋠
Chinese: 二千七百二十
Chinese (financial): 貳仟柒佰貳拾

In other modern scripts

Eastern Arabic ٢٧٢٠ Devanagari २७२० Bengali ২৭২০ Tamil ௨௭௨௦ Thai ๒๗๒๐ Tibetan ༢༧༢༠ Khmer ២៧២០ Lao ໒໗໒໐ Burmese ၂၇၂၀

Digit at this position in famous constants

π — Pi (π): Digit 2,720 = 8
e — Euler's number (e): Digit 2,720 = 7
φ — Golden ratio (φ): Digit 2,720 = 7
√2 — Pythagoras's (√2): Digit 2,720 = 7
ln 2 — Natural log of 2: Digit 2,720 = 0
γ — Euler-Mascheroni (γ): Digit 2,720 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2720, here are decompositions:

7 + 2713 = 2720
13 + 2707 = 2720
31 + 2689 = 2720
37 + 2683 = 2720
43 + 2677 = 2720
61 + 2659 = 2720
73 + 2647 = 2720
103 + 2617 = 2720

Showing the first eight; more decompositions exist.

Unicode codepoint

ઠ

Gujarati Letter Ttha

U+0AA0

Other letter (Lo)

UTF-8 encoding: E0 AA A0 (3 bytes).

Lookup U+0AA0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000AA0

RGB(0, 10, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.160.

Address: 0.0.10.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.160

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

Musical pitch

Heard as a frequency, 2,720 Hz is closest to:

Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -46¢ — about midway to E7)
Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, -9¢)
Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -45¢ — about midway to F7)

Position in π

The digit sequence 2720 first appears in π at position 5,225 of the decimal expansion (the 5,225ordinal-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 2720 on Pi Search ↗