Live analysis

2,940

2,940 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.).

2,940 (two thousand nine hundred forty) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5 × 7². Its proper divisors sum to 6,636, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCMXL and in binary, 101101111100.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

2,928 2,929 2,930 2,931 2,932 2,933 2,934 2,935 2,936 2,937 2,938 2,939 2,940 2,941 2,942 2,943 2,944 2,945 2,946 2,947 2,948 2,949 2,950 2,951 2,952

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 492
Recamán's sequence: a(1,295) = 2,940
Square (n²): 8,643,600
Cube (n³): 25,412,184,000
Divisor count: 36
σ(n) — sum of divisors: 9,576
φ(n) — Euler's totient: 672
Sum of prime factors: 26

Primality

Prime factorization: 2 ² × 3 × 5 × 7 ²

Nearest primes: 2,939 (−1) · 2,953 (+13)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 42 · 49 · 60 · 70 · 84 · 98 · 105 · 140 · 147 · 196 · 210 · 245 · 294 · 420 · 490 · 588 · 735 · 980 · 1470 (half) · 2940

Aliquot sum (sum of proper divisors): 6,636

Factor pairs (a × b = 2,940)

1 × 2940

2 × 1470

3 × 980

4 × 735

5 × 588

6 × 490

7 × 420

10 × 294

12 × 245

14 × 210

15 × 196

20 × 147

21 × 140

28 × 105

30 × 98

35 × 84

42 × 70

49 × 60

First multiples

2,940 · 5,880 (double) · 8,820 · 11,760 · 14,700 · 17,640 · 20,580 · 23,520 · 26,460 · 29,400

Sums & aliquot sequence

As consecutive integers: 979 + 980 + 981 586 + 587 + 588 + 589 + 590 417 + 418 + … + 423 364 + 365 + … + 371

Aliquot sequence: 2,940 → 6,636 → 11,284 → 13,804 → 16,436 → 16,492 → 19,348 → 19,404 → 42,840 → 125,640 → 283,860 → 633,420 → 1,562,004 → 2,535,180 → 5,206,260 → 9,371,436 → 12,495,276 — unresolved within range

Continued fraction of √n

√2,940 = [54; (4, 1, 1, 26, 1, 1, 4, 108)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: two thousand nine hundred forty
Ordinal: 2940th
Roman numeral: MMCMXL
Binary: 101101111100
Octal: 5574
Hexadecimal: 0xB7C
Base64: C3w=
One's complement: 62,595 (16-bit)
Scientific notation: 2.94 × 10³
As a duration: 2,940 s = 49 minutes

In other bases

ternary (3) 11000220

quaternary (4) 231330

quinary (5) 43230

senary (6) 21340

septenary (7) 11400

nonary (9) 4026

undecimal (11) 2233

duodecimal (12) 1850

tridecimal (13) 1452

tetradecimal (14) 1100

pentadecimal (15) d10

As an angle

2,940° = 8 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵βϡμʹ
Mayan (base 20): 𝋧·𝋧·𝋠
Chinese: 二千九百四十
Chinese (financial): 貳仟玖佰肆拾

In other modern scripts

Eastern Arabic ٢٩٤٠ Devanagari २९४० Bengali ২৯৪০ Tamil ௨௯௪௦ Thai ๒๙๔๐ Tibetan ༢༩༤༠ Khmer ២៩៤០ Lao ໒໙໔໐ Burmese ၂၉၄၀

Digit at this position in famous constants

π — Pi (π): Digit 2,940 = 2
e — Euler's number (e): Digit 2,940 = 0
φ — Golden ratio (φ): Digit 2,940 = 5
√2 — Pythagoras's (√2): Digit 2,940 = 6
ln 2 — Natural log of 2: Digit 2,940 = 8
γ — Euler-Mascheroni (γ): Digit 2,940 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2940, here are decompositions:

13 + 2927 = 2940
23 + 2917 = 2940
31 + 2909 = 2940
37 + 2903 = 2940
43 + 2897 = 2940
53 + 2887 = 2940
61 + 2879 = 2940
79 + 2861 = 2940

Showing the first eight; more decompositions exist.

Hex color

#000B7C

RGB(0, 11, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.124.

Address: 0.0.11.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.124

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

Musical pitch

Heard as a frequency, 2,940 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, -12¢)
Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, -10¢)

Position in π

The digit sequence 2940 first appears in π at position 10,898 of the decimal expansion (the 10,898ordinal-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 2940 on Pi Search ↗