Live analysis

2,442

2,442 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.).

2,442 (two thousand four hundred forty-two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 37. Its proper divisors sum to 3,030, 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 MMCDXLII and in binary, 100110001010.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Palindrome Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,430 2,431 2,432 2,433 2,434 2,435 2,436 2,437 2,438 2,439 2,440 2,441 2,442 2,443 2,444 2,445 2,446 2,447 2,448 2,449 2,450 2,451 2,452 2,453 2,454

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 64
Digital root: 3
Palindrome: Yes
Bit width: 12 bits
Recamán's sequence: a(3,055) = 2,442
Square (n²): 5,963,364
Cube (n³): 14,562,534,888
Divisor count: 16
σ(n) — sum of divisors: 5,472
φ(n) — Euler's totient: 720
Sum of prime factors: 53

Primality

Prime factorization: 2 × 3 × 11 × 37

Nearest primes: 2,441 (−1) · 2,447 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 37 · 66 · 74 · 111 · 222 · 407 · 814 · 1221 (half) · 2442

Aliquot sum (sum of proper divisors): 3,030

Factor pairs (a × b = 2,442)

1 × 2442

2 × 1221

3 × 814

6 × 407

11 × 222

22 × 111

33 × 74

37 × 66

First multiples

2,442 · 4,884 (double) · 7,326 · 9,768 · 12,210 · 14,652 · 17,094 · 19,536 · 21,978 · 24,420

Sums & aliquot sequence

As consecutive integers: 813 + 814 + 815 609 + 610 + 611 + 612 217 + 218 + … + 227 198 + 199 + … + 209

Aliquot sequence: 2,442 → 3,030 → 4,314 → 4,326 → 5,658 → 6,438 → 7,242 → 8,310 → 11,706 → 11,718 → 19,002 → 19,014 → 19,026 → 28,398 → 28,410 → 39,846 → 42,954 — unresolved within range

Continued fraction of √n

√2,442 = [49; (2, 2, 2, 98)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: two thousand four hundred forty-two
Ordinal: 2442nd
Roman numeral: MMCDXLII
Binary: 100110001010
Octal: 4612
Hexadecimal: 0x98A
Base64: CYo=
One's complement: 63,093 (16-bit)
Scientific notation: 2.442 × 10³
As a duration: 2,442 s = 40 minutes, 42 seconds

In other bases

ternary (3) 10100110

quaternary (4) 212022

quinary (5) 34232

senary (6) 15150

septenary (7) 10056

nonary (9) 3313

undecimal (11) 1920

duodecimal (12) 14b6

tridecimal (13) 115b

tetradecimal (14) c66

pentadecimal (15) acc

As an angle

2,442° = 6 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵βυμβʹ
Mayan (base 20): 𝋦·𝋢·𝋢
Chinese: 二千四百四十二
Chinese (financial): 貳仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ٢٤٤٢ Devanagari २४४२ Bengali ২৪৪২ Tamil ௨௪௪௨ Thai ๒๔๔๒ Tibetan ༢༤༤༢ Khmer ២៤៤២ Lao ໒໔໔໒ Burmese ၂၄၄၂

Digit at this position in famous constants

π — Pi (π): Digit 2,442 = 6
e — Euler's number (e): Digit 2,442 = 8
φ — Golden ratio (φ): Digit 2,442 = 2
√2 — Pythagoras's (√2): Digit 2,442 = 0
ln 2 — Natural log of 2: Digit 2,442 = 5
γ — Euler-Mascheroni (γ): Digit 2,442 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2442, here are decompositions:

5 + 2437 = 2442
19 + 2423 = 2442
31 + 2411 = 2442
43 + 2399 = 2442
53 + 2389 = 2442
59 + 2383 = 2442
61 + 2381 = 2442
71 + 2371 = 2442

Showing the first eight; more decompositions exist.

Unicode codepoint

ঊ

Bengali Letter Uu

U+098A

Other letter (Lo)

UTF-8 encoding: E0 A6 8A (3 bytes).

Lookup U+098A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00098A

RGB(0, 9, 138)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.138.

Address: 0.0.9.138
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.138

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

Musical pitch

Heard as a frequency, 2,442 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -33¢)
Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +5¢)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -32¢)

Position in π

The digit sequence 2442 first appears in π at position 44,243 of the decimal expansion (the 44,243ordinal-suffix:rd 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 2442 on Pi Search ↗