Live analysis

3,421

3,421 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.).

3,421 (three thousand four hundred twenty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 11 × 311. Written other ways, in Roman numerals it is MMMCDXXI and in binary, 110101011101.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,409 3,410 3,411 3,412 3,413 3,414 3,415 3,416 3,417 3,418 3,419 3,420 3,421 3,422 3,423 3,424 3,425 3,426 3,427 3,428 3,429 3,430 3,431 3,432 3,433

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 24
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 1,243
Recamán's sequence: a(15,049) = 3,421
Square (n²): 11,703,241
Cube (n³): 40,036,787,461
Divisor count: 4
σ(n) — sum of divisors: 3,744
φ(n) — Euler's totient: 3,100
Sum of prime factors: 322

Primality

Prime factorization: 11 × 311

Nearest primes: 3,413 (−8) · 3,433 (+12)

Divisors & multiples

All divisors (4)

1 · 11 · 311 · 3421

Aliquot sum (sum of proper divisors): 323

Factor pairs (a × b = 3,421)

1 × 3421

11 × 311

First multiples

3,421 · 6,842 (double) · 10,263 · 13,684 · 17,105 · 20,526 · 23,947 · 27,368 · 30,789 · 34,210

Sums & aliquot sequence

As consecutive integers: 1,710 + 1,711 306 + 307 + … + 316 145 + 146 + … + 166

Aliquot sequence: 3,421 → 323 → 37 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,421 = [58; (2, 22, 1, 8, 1, 3, 1, 3, 1, 1, 6, 3, 10, 3, 6, 1, 1, 3, 1, 3, 1, 8, 1, 22, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred twenty-one
Ordinal: 3421st
Roman numeral: MMMCDXXI
Binary: 110101011101
Octal: 6535
Hexadecimal: 0xD5D
Base64: DV0=
One's complement: 62,114 (16-bit)
Scientific notation: 3.421 × 10³
As a duration: 3,421 s = 57 minutes, 1 second

In other bases

ternary (3) 11200201

quaternary (4) 311131

quinary (5) 102141

senary (6) 23501

septenary (7) 12655

nonary (9) 4621

undecimal (11) 2630

duodecimal (12) 1b91

tridecimal (13) 1732

tetradecimal (14) 1365

pentadecimal (15) 1031

Palindromic in base 16

As an angle

3,421° = 9 × 360° + 181°

181° ≈ 3.159 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵γυκαʹ
Mayan (base 20): 𝋨·𝋫·𝋡
Chinese: 三千四百二十一
Chinese (financial): 參仟肆佰貳拾壹

In other modern scripts

Eastern Arabic ٣٤٢١ Devanagari ३४२१ Bengali ৩৪২১ Tamil ௩௪௨௧ Thai ๓๔๒๑ Tibetan ༣༤༢༡ Khmer ៣៤២១ Lao ໓໔໒໑ Burmese ၃၄၂၁

Digit at this position in famous constants

π — Pi (π): Digit 3,421 = 7
e — Euler's number (e): Digit 3,421 = 2
φ — Golden ratio (φ): Digit 3,421 = 0
√2 — Pythagoras's (√2): Digit 3,421 = 4
ln 2 — Natural log of 2: Digit 3,421 = 3
γ — Euler-Mascheroni (γ): Digit 3,421 = 7

Also seen as

Unicode codepoint

൝

Malayalam Fraction Three Twentieths

U+0D5D

Other number (No)

UTF-8 encoding: E0 B5 9D (3 bytes).

Lookup U+0D5D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D5D

RGB(0, 13, 93)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.93.

Address: 0.0.13.93
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.93

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

Musical pitch

Heard as a frequency, 3,421 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -49¢ — about midway to G♯7)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -12¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -48¢ — about midway to A7)

Position in π

The digit sequence 3421 first appears in π at position 91 of the decimal expansion (the 91ordinal-suffix:st 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 3421 on Pi Search ↗