Number

3,491

3,491 is a prime, odd.

3,491 (three thousand four hundred ninety-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 MMMCDXCI and in binary, 110110100011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,479 3,480 3,481 3,482 3,483 3,484 3,485 3,486 3,487 3,488 3,489 3,490 3,491 3,492 3,493 3,494 3,495 3,496 3,497 3,498 3,499 3,500 3,501 3,502 3,503

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 17
Digit product: 108
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,943
Recamán's sequence: a(14,909) = 3,491
Square (n²): 12,187,081
Cube (n³): 42,545,099,771
Divisor count: 2
σ(n) — sum of divisors: 3,492
φ(n) — Euler's totient: 3,490

Primality

3,491 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3491

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,491)

1 × 3491

First multiples

3,491 · 6,982 (double) · 10,473 · 13,964 · 17,455 · 20,946 · 24,437 · 27,928 · 31,419 · 34,910

Sums & aliquot sequence

As consecutive integers: 1,745 + 1,746

Continued fraction of √n

√3,491 = [59; (11, 1, 4, 4, 1, 1, 10, 5, 3, 1, 1, 1, 1, 1, 1, 23, 59, 23, 1, 1, 1, 1, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred ninety-one
Ordinal: 3491st
Roman numeral: MMMCDXCI
Binary: 110110100011
Octal: 6643
Hexadecimal: 0xDA3
Base64: DaM=
One's complement: 62,044 (16-bit)
Scientific notation: 3.491 × 10³
As a duration: 3,491 s = 58 minutes, 11 seconds

In other bases

ternary (3) 11210022

quaternary (4) 312203

quinary (5) 102431

senary (6) 24055

septenary (7) 13115

nonary (9) 4708

undecimal (11) 2694

duodecimal (12) 202b

tridecimal (13) 1787

tetradecimal (14) 13b5

pentadecimal (15) 107b

As an angle

3,491° = 9 × 360° + 251°

251° ≈ 4.381 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γυϟαʹ
Mayan (base 20): 𝋨·𝋮·𝋫
Chinese: 三千四百九十一
Chinese (financial): 參仟肆佰玖拾壹

In other modern scripts

Eastern Arabic ٣٤٩١ Devanagari ३४९१ Bengali ৩৪৯১ Tamil ௩௪௯௧ Thai ๓๔๙๑ Tibetan ༣༤༩༡ Khmer ៣៤៩១ Lao ໓໔໙໑ Burmese ၃၄၉၁

Digit at this position in famous constants

π — Pi (π): Digit 3,491 = 4
e — Euler's number (e): Digit 3,491 = 3
φ — Golden ratio (φ): Digit 3,491 = 6
√2 — Pythagoras's (√2): Digit 3,491 = 1
ln 2 — Natural log of 2: Digit 3,491 = 4
γ — Euler-Mascheroni (γ): Digit 3,491 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,469 (gap of 22)
Next prime: 3,499 (gap of 8)

Unicode codepoint

ඣ

Sinhala Letter Mahaapraana Jayanna

U+0DA3

Other letter (Lo)

UTF-8 encoding: E0 B6 A3 (3 bytes).

Lookup U+0DA3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000DA3

RGB(0, 13, 163)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.163.

Address: 0.0.13.163
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.163

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

Musical pitch

Heard as a frequency, 3,491 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +23¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -13¢)

Position in π

The digit sequence 3491 first appears in π at position 5,792 of the decimal expansion (the 5,792ordinal-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 3491 on Pi Search ↗