Number

3,613

3,613 is a prime, odd.

3,613 (three thousand six hundred thirteen) 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 MMMDCXIII and in binary, 111000011101.

Arithmetic Number Centered Square Cousin Prime Cube-Free Deficient Number Emirp Left-Truncatable Prime Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

11 notable facts · grade A

3,601 3,602 3,603 3,604 3,605 3,606 3,607 3,608 3,609 3,610 3,611 3,612 3,613 3,614 3,615 3,616 3,617 3,618 3,619 3,620 3,621 3,622 3,623 3,624 3,625

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 54
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 3,163
Recamán's sequence: a(29,250) = 3,613
Square (n²): 13,053,769
Cube (n³): 47,163,267,397
Divisor count: 2
σ(n) — sum of divisors: 3,614
φ(n) — Euler's totient: 3,612

Primality

3,613 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3613

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,613)

1 × 3613

First multiples

3,613 · 7,226 (double) · 10,839 · 14,452 · 18,065 · 21,678 · 25,291 · 28,904 · 32,517 · 36,130

Sums & aliquot sequence

As a sum of two squares: 42² + 43²

As consecutive integers: 1,806 + 1,807

Continued fraction of √n

√3,613 = [60; (9, 4, 5, 2, 12, 1, 9, 10, 1, 4, 1, 4, 2, 1, 1, 9, 2, 2, 1, 6, 2, 1, 3, 1, …)]

Representations

In words: three thousand six hundred thirteen
Ordinal: 3613th
Roman numeral: MMMDCXIII
Binary: 111000011101
Octal: 7035
Hexadecimal: 0xE1D
Base64: Dh0=
One's complement: 61,922 (16-bit)
Scientific notation: 3.613 × 10³
As a duration: 3,613 s = 1 hour, 13 seconds

In other bases

ternary (3) 11221211

quaternary (4) 320131

quinary (5) 103423

senary (6) 24421

septenary (7) 13351

nonary (9) 4854

undecimal (11) 2795

duodecimal (12) 2111

tridecimal (13) 184c

tetradecimal (14) 1461

pentadecimal (15) 110d

As an angle

3,613° = 10 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): ͵γχιγʹ
Mayan (base 20): 𝋩·𝋠·𝋭
Chinese: 三千六百一十三
Chinese (financial): 參仟陸佰壹拾參

In other modern scripts

Eastern Arabic ٣٦١٣ Devanagari ३६१३ Bengali ৩৬১৩ Tamil ௩௬௧௩ Thai ๓๖๑๓ Tibetan ༣༦༡༣ Khmer ៣៦១៣ Lao ໓໖໑໓ Burmese ၃၆၁၃

Digit at this position in famous constants

π — Pi (π): Digit 3,613 = 9
e — Euler's number (e): Digit 3,613 = 5
φ — Golden ratio (φ): Digit 3,613 = 7
√2 — Pythagoras's (√2): Digit 3,613 = 9
ln 2 — Natural log of 2: Digit 3,613 = 0
γ — Euler-Mascheroni (γ): Digit 3,613 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,607 (gap of 6)
Next prime: 3,617 (gap of 4)

Pair status: cousin with 3617, sexy with 3607.

Unicode codepoint

ฝ

Thai Character Fo Fa

U+0E1D

Other letter (Lo)

UTF-8 encoding: E0 B8 9D (3 bytes).

Lookup U+0E1D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000E1D

RGB(0, 14, 29)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.29.

Address: 0.0.14.29
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.29

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

Musical pitch

Heard as a frequency, 3,613 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, +45¢ — about midway to A♯7)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, -17¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, +46¢ — about midway to B7)

Position in π

The digit sequence 3613 first appears in π at position 12,913 of the decimal expansion (the 12,913ordinal-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 3613 on Pi Search ↗