Number

3,701

3,701 is a prime, odd.

3,701 (three thousand seven hundred 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 MMMDCCI and in binary, 111001110101.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,689 3,690 3,691 3,692 3,693 3,694 3,695 3,696 3,697 3,698 3,699 3,700 3,701 3,702 3,703 3,704 3,705 3,706 3,707 3,708 3,709 3,710 3,711 3,712 3,713

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 1,073
Recamán's sequence: a(6,526) = 3,701
Square (n²): 13,697,401
Cube (n³): 50,694,081,101
Divisor count: 2
σ(n) — sum of divisors: 3,702
φ(n) — Euler's totient: 3,700

Primality

3,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3701

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,701)

1 × 3701

First multiples

3,701 · 7,402 (double) · 11,103 · 14,804 · 18,505 · 22,206 · 25,907 · 29,608 · 33,309 · 37,010

Sums & aliquot sequence

As a sum of two squares: 26² + 55²

As consecutive integers: 1,850 + 1,851

Continued fraction of √n

√3,701 = [60; (1, 5, 10, 1, 8, 2, 4, 2, 1, 1, 5, 2, 29, 1, 23, 2, 1, 2, 1, 1, 1, 1, 1, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words: three thousand seven hundred one
Ordinal: 3701st
Roman numeral: MMMDCCI
Binary: 111001110101
Octal: 7165
Hexadecimal: 0xE75
Base64: DnU=
One's complement: 61,834 (16-bit)
Scientific notation: 3.701 × 10³
As a duration: 3,701 s = 1 hour, 1 minute, 41 seconds

In other bases

ternary (3) 12002002

quaternary (4) 321311

quinary (5) 104301

senary (6) 25045

septenary (7) 13535

nonary (9) 5062

undecimal (11) 2865

duodecimal (12) 2185

tridecimal (13) 18b9

tetradecimal (14) 14c5

pentadecimal (15) 116b

As an angle

3,701° = 10 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵γψαʹ
Mayan (base 20): 𝋩·𝋥·𝋡
Chinese: 三千七百零一
Chinese (financial): 參仟柒佰零壹

In other modern scripts

Eastern Arabic ٣٧٠١ Devanagari ३७०१ Bengali ৩৭০১ Tamil ௩௭௦௧ Thai ๓๗๐๑ Tibetan ༣༧༠༡ Khmer ៣៧០១ Lao ໓໗໐໑ Burmese ၃၇၀၁

Digit at this position in famous constants

π — Pi (π): Digit 3,701 = 3
e — Euler's number (e): Digit 3,701 = 5
φ — Golden ratio (φ): Digit 3,701 = 9
√2 — Pythagoras's (√2): Digit 3,701 = 8
ln 2 — Natural log of 2: Digit 3,701 = 6
γ — Euler-Mascheroni (γ): Digit 3,701 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,697 (gap of 4)
Next prime: 3,709 (gap of 8)

Pair status: cousin with 3697.

Hex color

#000E75

RGB(0, 14, 117)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.117.

Address: 0.0.14.117
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.117

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

Musical pitch

Heard as a frequency, 3,701 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -13¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -12¢)

Position in π

The digit sequence 3701 first appears in π at position 5,103 of the decimal expansion (the 5,103ordinal-suffix:rd 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 3701 on Pi Search ↗