Live analysis

2,484

2,484 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.).

2,484 (two thousand four hundred eighty-four) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 23. Its proper divisors sum to 4,236, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCDLXXXIV and in binary, 100110110100.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Nonagonal Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,472 2,473 2,474 2,475 2,476 2,477 2,478 2,479 2,480 2,481 2,482 2,483 2,484 2,485 2,486 2,487 2,488 2,489 2,490 2,491 2,492 2,493 2,494 2,495 2,496

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 256
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 4,842
Recamán's sequence: a(2,971) = 2,484
Square (n²): 6,170,256
Cube (n³): 15,326,915,904
Divisor count: 24
σ(n) — sum of divisors: 6,720
φ(n) — Euler's totient: 792
Sum of prime factors: 36

Primality

Prime factorization: 2 ² × 3 ³ × 23

Nearest primes: 2,477 (−7) · 2,503 (+19)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 27 · 36 · 46 · 54 · 69 · 92 · 108 · 138 · 207 · 276 · 414 · 621 · 828 · 1242 (half) · 2484

Aliquot sum (sum of proper divisors): 4,236

Factor pairs (a × b = 2,484)

1 × 2484

2 × 1242

3 × 828

4 × 621

6 × 414

9 × 276

12 × 207

18 × 138

23 × 108

27 × 92

36 × 69

46 × 54

First multiples

2,484 · 4,968 (double) · 7,452 · 9,936 · 12,420 · 14,904 · 17,388 · 19,872 · 22,356 · 24,840

Sums & aliquot sequence

As consecutive integers: 827 + 828 + 829 307 + 308 + … + 314 272 + 273 + … + 280 97 + 98 + … + 119

Aliquot sequence: 2,484 → 4,236 → 5,676 → 9,108 → 17,100 → 39,320 → 49,240 → 61,640 → 85,240 → 106,640 → 155,248 → 156,240 → 462,768 → 775,248 → 1,296,048 → 2,481,488 → 2,482,480 — unresolved within range

Continued fraction of √n

√2,484 = [49; (1, 5, 4, 5, 1, 98)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: two thousand four hundred eighty-four
Ordinal: 2484th
Roman numeral: MMCDLXXXIV
Binary: 100110110100
Octal: 4664
Hexadecimal: 0x9B4
Base64: CbQ=
One's complement: 63,051 (16-bit)
Scientific notation: 2.484 × 10³
As a duration: 2,484 s = 41 minutes, 24 seconds

In other bases

ternary (3) 10102000

quaternary (4) 212310

quinary (5) 34414

senary (6) 15300

septenary (7) 10146

nonary (9) 3360

undecimal (11) 1959

duodecimal (12) 1530

tridecimal (13) 1191

tetradecimal (14) c96

pentadecimal (15) b09

Palindromic in base 8

As an angle

2,484° = 6 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵βυπδʹ
Mayan (base 20): 𝋦·𝋤·𝋤
Chinese: 二千四百八十四
Chinese (financial): 貳仟肆佰捌拾肆

In other modern scripts

Eastern Arabic ٢٤٨٤ Devanagari २४८४ Bengali ২৪৮৪ Tamil ௨௪௮௪ Thai ๒๔๘๔ Tibetan ༢༤༨༤ Khmer ២៤៨៤ Lao ໒໔໘໔ Burmese ၂၄၈၄

Digit at this position in famous constants

π — Pi (π): Digit 2,484 = 9
e — Euler's number (e): Digit 2,484 = 5
φ — Golden ratio (φ): Digit 2,484 = 8
√2 — Pythagoras's (√2): Digit 2,484 = 3
ln 2 — Natural log of 2: Digit 2,484 = 5
γ — Euler-Mascheroni (γ): Digit 2,484 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2484, here are decompositions:

7 + 2477 = 2484
11 + 2473 = 2484
17 + 2467 = 2484
37 + 2447 = 2484
43 + 2441 = 2484
47 + 2437 = 2484
61 + 2423 = 2484
67 + 2417 = 2484

Showing the first eight; more decompositions exist.

Hex color

#0009B4

RGB(0, 9, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.180.

Address: 0.0.9.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.180

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

Musical pitch

Heard as a frequency, 2,484 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -3¢)
Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +34¢)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -2¢)

Position in π

The digit sequence 2484 first appears in π at position 2,769 of the decimal expansion (the 2,769ordinal-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 2484 on Pi Search ↗