Live analysis

2,421

2,421 is a composite number, odd.

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.).

2,421 (two thousand four hundred twenty-one) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 269. Written other ways, in Roman numerals it is MMCDXXI and in binary, 100101110101.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,409 2,410 2,411 2,412 2,413 2,414 2,415 2,416 2,417 2,418 2,419 2,420 2,421 2,422 2,423 2,424 2,425 2,426 2,427 2,428 2,429 2,430 2,431 2,432 2,433

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 9
Digit product: 16
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 1,242
Recamán's sequence: a(15,693) = 2,421
Square (n²): 5,861,241
Cube (n³): 14,190,064,461
Divisor count: 6
σ(n) — sum of divisors: 3,510
φ(n) — Euler's totient: 1,608
Sum of prime factors: 275

Primality

Prime factorization: 3 ² × 269

Nearest primes: 2,417 (−4) · 2,423 (+2)

Divisors & multiples

All divisors (6)

1 · 3 · 9 · 269 · 807 · 2421

Aliquot sum (sum of proper divisors): 1,089

Factor pairs (a × b = 2,421)

1 × 2421

3 × 807

9 × 269

First multiples

2,421 · 4,842 (double) · 7,263 · 9,684 · 12,105 · 14,526 · 16,947 · 19,368 · 21,789 · 24,210

Sums & aliquot sequence

As a sum of two squares: 30² + 39²

As consecutive integers: 1,210 + 1,211 806 + 807 + 808 401 + 402 + 403 + 404 + 405 + 406 265 + 266 + … + 273

Aliquot sequence: 2,421 → 1,089 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,421 = [49; (4, 1, 10, 7, 2, 10, 2, 7, 10, 1, 4, 98)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: two thousand four hundred twenty-one
Ordinal: 2421st
Roman numeral: MMCDXXI
Binary: 100101110101
Octal: 4565
Hexadecimal: 0x975
Base64: CXU=
One's complement: 63,114 (16-bit)
Scientific notation: 2.421 × 10³
As a duration: 2,421 s = 40 minutes, 21 seconds

In other bases

ternary (3) 10022200

quaternary (4) 211311

quinary (5) 34141

senary (6) 15113

septenary (7) 10026

nonary (9) 3280

undecimal (11) 1901

duodecimal (12) 1499

tridecimal (13) 1143

tetradecimal (14) c4d

pentadecimal (15) ab6

As an angle

2,421° = 6 × 360° + 261°

261° ≈ 4.555 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵βυκαʹ
Mayan (base 20): 𝋦·𝋡·𝋡
Chinese: 二千四百二十一
Chinese (financial): 貳仟肆佰貳拾壹

In other modern scripts

Eastern Arabic ٢٤٢١ Devanagari २४२१ Bengali ২৪২১ Tamil ௨௪௨௧ Thai ๒๔๒๑ Tibetan ༢༤༢༡ Khmer ២៤២១ Lao ໒໔໒໑ Burmese ၂၄၂၁

Digit at this position in famous constants

π — Pi (π): Digit 2,421 = 7
e — Euler's number (e): Digit 2,421 = 9
φ — Golden ratio (φ): Digit 2,421 = 0
√2 — Pythagoras's (√2): Digit 2,421 = 5
ln 2 — Natural log of 2: Digit 2,421 = 4
γ — Euler-Mascheroni (γ): Digit 2,421 = 4

Also seen as

Unicode codepoint

ॵ

Devanagari Letter Aw

U+0975

Other letter (Lo)

UTF-8 encoding: E0 A5 B5 (3 bytes).

Lookup U+0975 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000975

RGB(0, 9, 117)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.117.

Address: 0.0.9.117
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.117

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

Musical pitch

Heard as a frequency, 2,421 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -48¢ — about midway to D7)
Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, -10¢)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -47¢ — about midway to D♯7)

Position in π

The digit sequence 2421 first appears in π at position 31,575 of the decimal expansion (the 31,575ordinal-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 2421 on Pi Search ↗