Live analysis

2,740

2,740 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.).

2,740 (two thousand seven hundred forty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 137. Its proper divisors sum to 3,056, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMDCCXL and in binary, 101010110100.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

2,728 2,729 2,730 2,731 2,732 2,733 2,734 2,735 2,736 2,737 2,738 2,739 2,740 2,741 2,742 2,743 2,744 2,745 2,746 2,747 2,748 2,749 2,750 2,751 2,752

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 472
Recamán's sequence: a(2,775) = 2,740
Square (n²): 7,507,600
Cube (n³): 20,570,824,000
Divisor count: 12
σ(n) — sum of divisors: 5,796
φ(n) — Euler's totient: 1,088
Sum of prime factors: 146

Primality

Prime factorization: 2 ² × 5 × 137

Nearest primes: 2,731 (−9) · 2,741 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 137 · 274 · 548 · 685 · 1370 (half) · 2740

Aliquot sum (sum of proper divisors): 3,056

Factor pairs (a × b = 2,740)

1 × 2740

2 × 1370

4 × 685

5 × 548

10 × 274

20 × 137

First multiples

2,740 · 5,480 (double) · 8,220 · 10,960 · 13,700 · 16,440 · 19,180 · 21,920 · 24,660 · 27,400

Sums & aliquot sequence

As a sum of two squares: 6² + 52² = 36² + 38²

As consecutive integers: 546 + 547 + 548 + 549 + 550 339 + 340 + … + 346 49 + 50 + … + 88

Aliquot sequence: 2,740 → 3,056 → 2,896 → 2,746 → 1,376 → 1,396 → 1,054 → 674 → 340 → 416 → 466 → 236 → 184 → 176 → 196 → 203 → 37 — unresolved within range

Continued fraction of √n

√2,740 = [52; (2, 1, 8, 1, 5, 1, 1, 1, 4, 1, 6, 6, 2, 1, 1, 11, 26, 11, 1, 1, 2, 6, 6, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: two thousand seven hundred forty
Ordinal: 2740th
Roman numeral: MMDCCXL
Binary: 101010110100
Octal: 5264
Hexadecimal: 0xAB4
Base64: CrQ=
One's complement: 62,795 (16-bit)
Scientific notation: 2.74 × 10³
As a duration: 2,740 s = 45 minutes, 40 seconds

In other bases

ternary (3) 10202111

quaternary (4) 222310

quinary (5) 41430

senary (6) 20404

septenary (7) 10663

nonary (9) 3674

undecimal (11) 2071

duodecimal (12) 1704

tridecimal (13) 132a

tetradecimal (14) dda

pentadecimal (15) c2a

As an angle

2,740° = 7 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵βψμʹ
Mayan (base 20): 𝋦·𝋱·𝋠
Chinese: 二千七百四十
Chinese (financial): 貳仟柒佰肆拾

In other modern scripts

Eastern Arabic ٢٧٤٠ Devanagari २७४० Bengali ২৭৪০ Tamil ௨௭௪௦ Thai ๒๗๔๐ Tibetan ༢༧༤༠ Khmer ២៧៤០ Lao ໒໗໔໐ Burmese ၂၇၄၀

Digit at this position in famous constants

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

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2740, here are decompositions:

11 + 2729 = 2740
29 + 2711 = 2740
41 + 2699 = 2740
47 + 2693 = 2740
53 + 2687 = 2740
83 + 2657 = 2740
107 + 2633 = 2740
131 + 2609 = 2740

Showing the first eight; more decompositions exist.

Hex color

#000AB4

RGB(0, 10, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.180.

Address: 0.0.10.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.180

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

Musical pitch

Heard as a frequency, 2,740 Hz is closest to:

Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +4¢)
Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -32¢)

Position in π

The digit sequence 2740 first appears in π at position 23,279 of the decimal expansion (the 23,279ordinal-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 2740 on Pi Search ↗