Live analysis

2,772

2,772 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.).

2,772 (two thousand seven hundred seventy-two) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 11. Its proper divisors sum to 5,964, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is MMDCCLXXII and in binary, 101011010100.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,760 2,761 2,762 2,763 2,764 2,765 2,766 2,767 2,768 2,769 2,770 2,771 2,772 2,773 2,774 2,775 2,776 2,777 2,778 2,779 2,780 2,781 2,782 2,783 2,784

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 196
Digital root: 9
Palindrome: Yes
Bit width: 12 bits
Recamán's sequence: a(2,711) = 2,772
Square (n²): 7,683,984
Cube (n³): 21,300,003,648
Divisor count: 36
σ(n) — sum of divisors: 8,736
φ(n) — Euler's totient: 720
Sum of prime factors: 28

Primality

Prime factorization: 2 ² × 3 ² × 7 × 11

Nearest primes: 2,767 (−5) · 2,777 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 11 · 12 · 14 · 18 · 21 · 22 · 28 · 33 · 36 · 42 · 44 · 63 · 66 · 77 · 84 · 99 · 126 · 132 · 154 · 198 · 231 · 252 · 308 · 396 · 462 · 693 · 924 · 1386 (half) · 2772

Aliquot sum (sum of proper divisors): 5,964

Factor pairs (a × b = 2,772)

1 × 2772

2 × 1386

3 × 924

4 × 693

6 × 462

7 × 396

9 × 308

11 × 252

12 × 231

14 × 198

18 × 154

21 × 132

22 × 126

28 × 99

33 × 84

36 × 77

42 × 66

44 × 63

First multiples

2,772 · 5,544 (double) · 8,316 · 11,088 · 13,860 · 16,632 · 19,404 · 22,176 · 24,948 · 27,720

Sums & aliquot sequence

As consecutive integers: 923 + 924 + 925 393 + 394 + … + 399 343 + 344 + … + 350 304 + 305 + … + 312

Aliquot sequence: 2,772 → 5,964 → 10,164 → 19,628 → 19,684 → 22,876 → 26,404 → 30,044 → 33,796 → 38,780 → 54,628 → 54,684 → 111,300 → 263,676 → 465,668 → 465,724 → 465,780 — unresolved within range

Continued fraction of √n

√2,772 = [52; (1, 1, 1, 5, 1, 10, 1, 5, 1, 1, 1, 104)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: two thousand seven hundred seventy-two
Ordinal: 2772nd
Roman numeral: MMDCCLXXII
Binary: 101011010100
Octal: 5324
Hexadecimal: 0xAD4
Base64: CtQ=
One's complement: 62,763 (16-bit)
Scientific notation: 2.772 × 10³
As a duration: 2,772 s = 46 minutes, 12 seconds

In other bases

ternary (3) 10210200

quaternary (4) 223110

quinary (5) 42042

senary (6) 20500

septenary (7) 11040

nonary (9) 3720

undecimal (11) 20a0

duodecimal (12) 1730

tridecimal (13) 1353

tetradecimal (14) 1020

pentadecimal (15) c4c

Palindromic in base 15

As an angle

2,772° = 7 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵βψοβʹ
Mayan (base 20): 𝋦·𝋲·𝋬
Chinese: 二千七百七十二
Chinese (financial): 貳仟柒佰柒拾貳

In other modern scripts

Eastern Arabic ٢٧٧٢ Devanagari २७७२ Bengali ২৭৭২ Tamil ௨௭௭௨ Thai ๒๗๗๒ Tibetan ༢༧༧༢ Khmer ២៧៧២ Lao ໒໗໗໒ Burmese ၂၇၇၂

Digit at this position in famous constants

π — Pi (π): Digit 2,772 = 8
e — Euler's number (e): Digit 2,772 = 2
φ — Golden ratio (φ): Digit 2,772 = 5
√2 — Pythagoras's (√2): Digit 2,772 = 8
ln 2 — Natural log of 2: Digit 2,772 = 1
γ — Euler-Mascheroni (γ): Digit 2,772 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2772, here are decompositions:

5 + 2767 = 2772
19 + 2753 = 2772
23 + 2749 = 2772
31 + 2741 = 2772
41 + 2731 = 2772
43 + 2729 = 2772
53 + 2719 = 2772
59 + 2713 = 2772

Showing the first eight; more decompositions exist.

Hex color

#000AD4

RGB(0, 10, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.212.

Address: 0.0.10.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.212

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

Musical pitch

Heard as a frequency, 2,772 Hz is closest to:

Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -12¢)

Position in π

The digit sequence 2772 first appears in π at position 5,620 of the decimal expansion (the 5,620ordinal-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 2772 on Pi Search ↗