Live analysis

2,464

2,464 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.).

2,464 (two thousand four hundred sixty-four) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 11. Its proper divisors sum to 3,584, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCDLXIV and in binary, 100110100000.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,452 2,453 2,454 2,455 2,456 2,457 2,458 2,459 2,460 2,461 2,462 2,463 2,464 2,465 2,466 2,467 2,468 2,469 2,470 2,471 2,472 2,473 2,474 2,475 2,476

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 192
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 4,642
Recamán's sequence: a(3,011) = 2,464
Square (n²): 6,071,296
Cube (n³): 14,959,673,344
Divisor count: 24
σ(n) — sum of divisors: 6,048
φ(n) — Euler's totient: 960
Sum of prime factors: 28

Primality

Prime factorization: 2 ⁵ × 7 × 11

Nearest primes: 2,459 (−5) · 2,467 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 32 · 44 · 56 · 77 · 88 · 112 · 154 · 176 · 224 · 308 · 352 · 616 · 1232 (half) · 2464

Aliquot sum (sum of proper divisors): 3,584

Factor pairs (a × b = 2,464)

1 × 2464

2 × 1232

4 × 616

7 × 352

8 × 308

11 × 224

14 × 176

16 × 154

22 × 112

28 × 88

32 × 77

44 × 56

First multiples

2,464 · 4,928 (double) · 7,392 · 9,856 · 12,320 · 14,784 · 17,248 · 19,712 · 22,176 · 24,640

Sums & aliquot sequence

As consecutive integers: 349 + 350 + … + 355 219 + 220 + … + 229 7 + 8 + … + 70

Aliquot sequence: 2,464 → 3,584 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 → 2,714 → 1,606 → 1,058 → 601 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,464 = [49; (1, 1, 1, 3, 3, 3, 1, 1, 1, 98)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: two thousand four hundred sixty-four
Ordinal: 2464th
Roman numeral: MMCDLXIV
Binary: 100110100000
Octal: 4640
Hexadecimal: 0x9A0
Base64: CaA=
One's complement: 63,071 (16-bit)
Scientific notation: 2.464 × 10³
As a duration: 2,464 s = 41 minutes, 4 seconds

In other bases

ternary (3) 10101021

quaternary (4) 212200

quinary (5) 34324

senary (6) 15224

septenary (7) 10120

nonary (9) 3337

undecimal (11) 1940

duodecimal (12) 1514

tridecimal (13) 1177

tetradecimal (14) c80

pentadecimal (15) ae4

As an angle

2,464° = 6 × 360° + 304°

304° ≈ 5.306 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵βυξδʹ
Mayan (base 20): 𝋦·𝋣·𝋤
Chinese: 二千四百六十四
Chinese (financial): 貳仟肆佰陸拾肆

In other modern scripts

Eastern Arabic ٢٤٦٤ Devanagari २४६४ Bengali ২৪৬৪ Tamil ௨௪௬௪ Thai ๒๔๖๔ Tibetan ༢༤༦༤ Khmer ២៤៦៤ Lao ໒໔໖໔ Burmese ၂၄၆၄

Digit at this position in famous constants

π — Pi (π): Digit 2,464 = 4
e — Euler's number (e): Digit 2,464 = 5
φ — Golden ratio (φ): Digit 2,464 = 4
√2 — Pythagoras's (√2): Digit 2,464 = 4
ln 2 — Natural log of 2: Digit 2,464 = 3
γ — Euler-Mascheroni (γ): Digit 2,464 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2464, here are decompositions:

5 + 2459 = 2464
17 + 2447 = 2464
23 + 2441 = 2464
41 + 2423 = 2464
47 + 2417 = 2464
53 + 2411 = 2464
71 + 2393 = 2464
83 + 2381 = 2464

Showing the first eight; more decompositions exist.

Unicode codepoint

ঠ

Bengali Letter Ttha

U+09A0

Other letter (Lo)

UTF-8 encoding: E0 A6 A0 (3 bytes).

Lookup U+09A0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0009A0

RGB(0, 9, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.160.

Address: 0.0.9.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.160

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

Musical pitch

Heard as a frequency, 2,464 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +20¢)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -16¢)

Position in π

The digit sequence 2464 first appears in π at position 5,492 of the decimal expansion (the 5,492ordinal-suffix:nd 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 2464 on Pi Search ↗