Live analysis

4,842

4,842 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.).

4,842 (four thousand eight hundred forty-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 269. Its proper divisors sum to 5,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x12EA.

Abundant Number Cube-Free Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,830 4,831 4,832 4,833 4,834 4,835 4,836 4,837 4,838 4,839 4,840 4,841 4,842 4,843 4,844 4,845 4,846 4,847 4,848 4,849 4,850 4,851 4,852 4,853 4,854

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 256
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 2,484
Recamán's sequence: a(1,732) = 4,842
Square (n²): 23,444,964
Cube (n³): 113,520,515,688
Divisor count: 12
σ(n) — sum of divisors: 10,530
φ(n) — Euler's totient: 1,608
Sum of prime factors: 277

Primality

Prime factorization: 2 × 3 ² × 269

Nearest primes: 4,831 (−11) · 4,861 (+19)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 269 · 538 · 807 · 1614 · 2421 (half) · 4842

Aliquot sum (sum of proper divisors): 5,688

Factor pairs (a × b = 4,842)

1 × 4842

2 × 2421

3 × 1614

6 × 807

9 × 538

18 × 269

First multiples

4,842 · 9,684 (double) · 14,526 · 19,368 · 24,210 · 29,052 · 33,894 · 38,736 · 43,578 · 48,420

Sums & aliquot sequence

As a sum of two squares: 9² + 69²

As consecutive integers: 1,613 + 1,614 + 1,615 1,209 + 1,210 + 1,211 + 1,212 534 + 535 + … + 542 398 + 399 + … + 409

Aliquot sequence: 4,842 → 5,688 → 9,912 → 18,888 → 28,392 → 59,448 → 89,232 → 183,072 → 297,744 → 471,552 → 788,784 → 1,249,032 → 1,921,848 → 2,882,832 → 5,301,168 → 8,393,640 → 17,051,160 — unresolved within range

Continued fraction of √n

√4,842 = [69; (1, 1, 2, 2, 5, 1, 1, 1, 2, 1, 2, 1, 14, 1, 2, 1, 2, 1, 1, 1, 5, 2, 2, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: four thousand eight hundred forty-two
Ordinal: 4842nd
Binary: 1001011101010
Octal: 11352
Hexadecimal: 0x12EA
Base64: Euo=
One's complement: 60,693 (16-bit)
Scientific notation: 4.842 × 10³
As a duration: 4,842 s = 1 hour, 20 minutes, 42 seconds

In other bases

ternary (3) 20122100

quaternary (4) 1023222

quinary (5) 123332

senary (6) 34230

septenary (7) 20055

nonary (9) 6570

undecimal (11) 3702

duodecimal (12) 2976

tridecimal (13) 2286

tetradecimal (14) 1a9c

pentadecimal (15) 167c

As an angle

4,842° = 13 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵δωμβʹ
Mayan (base 20): 𝋬·𝋢·𝋢
Chinese: 四千八百四十二
Chinese (financial): 肆仟捌佰肆拾貳

In other modern scripts

Eastern Arabic ٤٨٤٢ Devanagari ४८४२ Bengali ৪৮৪২ Tamil ௪௮௪௨ Thai ๔๘๔๒ Tibetan ༤༨༤༢ Khmer ៤៨៤២ Lao ໔໘໔໒ Burmese ၄၈၄၂

Digit at this position in famous constants

π — Pi (π): Digit 4,842 = 9
e — Euler's number (e): Digit 4,842 = 9
φ — Golden ratio (φ): Digit 4,842 = 0
√2 — Pythagoras's (√2): Digit 4,842 = 7
ln 2 — Natural log of 2: Digit 4,842 = 0
γ — Euler-Mascheroni (γ): Digit 4,842 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4842, here are decompositions:

11 + 4831 = 4842
29 + 4813 = 4842
41 + 4801 = 4842
43 + 4799 = 4842
53 + 4789 = 4842
59 + 4783 = 4842
83 + 4759 = 4842
109 + 4733 = 4842

Showing the first eight; more decompositions exist.

Unicode codepoint

ዪ

Ethiopic Syllable Yi

U+12EA

Other letter (Lo)

UTF-8 encoding: E1 8B AA (3 bytes).

Lookup U+12EA on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0012EA

RGB(0, 18, 234)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.234.

Address: 0.0.18.234
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.18.234

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

Musical pitch

Heard as a frequency, 4,842 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, -48¢ — about midway to D8)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, -10¢)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, -47¢ — about midway to D♯8)

Position in π

The digit sequence 4842 first appears in π at position 7,313 of the decimal expansion (the 7,313ordinal-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 4842 on Pi Search ↗