Number

3,461

3,461 is a prime, odd.

3,461 (three thousand four hundred sixty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCDLXI and in binary, 110110000101.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

3,449 3,450 3,451 3,452 3,453 3,454 3,455 3,456 3,457 3,458 3,459 3,460 3,461 3,462 3,463 3,464 3,465 3,466 3,467 3,468 3,469 3,470 3,471 3,472 3,473

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 72
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 1,643
Recamán's sequence: a(14,969) = 3,461
Square (n²): 11,978,521
Cube (n³): 41,457,661,181
Divisor count: 2
σ(n) — sum of divisors: 3,462
φ(n) — Euler's totient: 3,460

Primality

3,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3461

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,461)

1 × 3461

First multiples

3,461 · 6,922 (double) · 10,383 · 13,844 · 17,305 · 20,766 · 24,227 · 27,688 · 31,149 · 34,610

Sums & aliquot sequence

As a sum of two squares: 31² + 50²

As consecutive integers: 1,730 + 1,731

Continued fraction of √n

√3,461 = [58; (1, 4, 1, 8, 4, 1, 1, 2, 5, 2, 28, 1, 22, 1, 1, 3, 3, 1, 1, 22, 1, 28, 2, 5, …)]

Period length 33 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred sixty-one
Ordinal: 3461st
Roman numeral: MMMCDLXI
Binary: 110110000101
Octal: 6605
Hexadecimal: 0xD85
Base64: DYU=
One's complement: 62,074 (16-bit)
Scientific notation: 3.461 × 10³
As a duration: 3,461 s = 57 minutes, 41 seconds

In other bases

ternary (3) 11202012

quaternary (4) 312011

quinary (5) 102321

senary (6) 24005

septenary (7) 13043

nonary (9) 4665

undecimal (11) 2667

duodecimal (12) 2005

tridecimal (13) 1763

tetradecimal (14) 1393

pentadecimal (15) 105b

As an angle

3,461° = 9 × 360° + 221°

221° ≈ 3.857 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γυξαʹ
Mayan (base 20): 𝋨·𝋭·𝋡
Chinese: 三千四百六十一
Chinese (financial): 參仟肆佰陸拾壹

In other modern scripts

Eastern Arabic ٣٤٦١ Devanagari ३४६१ Bengali ৩৪৬১ Tamil ௩௪௬௧ Thai ๓๔๖๑ Tibetan ༣༤༦༡ Khmer ៣៤៦១ Lao ໓໔໖໑ Burmese ၃၄၆၁

Digit at this position in famous constants

π — Pi (π): Digit 3,461 = 3
e — Euler's number (e): Digit 3,461 = 6
φ — Golden ratio (φ): Digit 3,461 = 4
√2 — Pythagoras's (√2): Digit 3,461 = 4
ln 2 — Natural log of 2: Digit 3,461 = 9
γ — Euler-Mascheroni (γ): Digit 3,461 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,457 (gap of 4)
Next prime: 3,463 (gap of 2)

Pair status: twin with 3463, cousin with 3457.

Unicode codepoint

අ

Sinhala Letter Ayanna

U+0D85

Other letter (Lo)

UTF-8 encoding: E0 B6 85 (3 bytes).

Lookup U+0D85 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D85

RGB(0, 13, 133)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.133.

Address: 0.0.13.133
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.133

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

Musical pitch

Heard as a frequency, 3,461 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -29¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -28¢)

Position in π

The digit sequence 3461 first appears in π at position 4,108 of the decimal expansion (the 4,108ordinal-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 3461 on Pi Search ↗