Number

3,697

3,697 is a prime, odd.

3,697 (three thousand six hundred ninety-seven) 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 MMMDCXCVII and in binary, 111001110001.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

3,685 3,686 3,687 3,688 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

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 25
Digit product: 1,134
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 7,963
Recamán's sequence: a(1,022) = 3,697
Square (n²): 13,667,809
Cube (n³): 50,529,889,873
Divisor count: 2
σ(n) — sum of divisors: 3,698
φ(n) — Euler's totient: 3,696

Primality

3,697 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3697

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,697)

1 × 3697

First multiples

3,697 · 7,394 (double) · 11,091 · 14,788 · 18,485 · 22,182 · 25,879 · 29,576 · 33,273 · 36,970

Sums & aliquot sequence

As a sum of two squares: 36² + 49²

As consecutive integers: 1,848 + 1,849

Continued fraction of √n

√3,697 = [60; (1, 4, 13, 3, 4, 1, 2, 1, 6, 1, 6, 3, 1, 1, 5, 1, 4, 1, 16, 1, 1, 5, 3, 1, …)]

Representations

In words: three thousand six hundred ninety-seven
Ordinal: 3697th
Roman numeral: MMMDCXCVII
Binary: 111001110001
Octal: 7161
Hexadecimal: 0xE71
Base64: DnE=
One's complement: 61,838 (16-bit)
Scientific notation: 3.697 × 10³
As a duration: 3,697 s = 1 hour, 1 minute, 37 seconds

In other bases

ternary (3) 12001221

quaternary (4) 321301

quinary (5) 104242

senary (6) 25041

septenary (7) 13531

nonary (9) 5057

undecimal (11) 2861

duodecimal (12) 2181

tridecimal (13) 18b5

tetradecimal (14) 14c1

pentadecimal (15) 1167

Palindromic in base 7

As an angle

3,697° = 10 × 360° + 97°

97° ≈ 1.693 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γχϟζʹ
Mayan (base 20): 𝋩·𝋤·𝋱
Chinese: 三千六百九十七
Chinese (financial): 參仟陸佰玖拾柒

In other modern scripts

Eastern Arabic ٣٦٩٧ Devanagari ३६९७ Bengali ৩৬৯৭ Tamil ௩௬௯௭ Thai ๓๖๙๗ Tibetan ༣༦༩༧ Khmer ៣៦៩៧ Lao ໓໖໙໗ Burmese ၃၆၉၇

Digit at this position in famous constants

π — Pi (π): Digit 3,697 = 0
e — Euler's number (e): Digit 3,697 = 4
φ — Golden ratio (φ): Digit 3,697 = 7
√2 — Pythagoras's (√2): Digit 3,697 = 8
ln 2 — Natural log of 2: Digit 3,697 = 0
γ — Euler-Mascheroni (γ): Digit 3,697 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,691 (gap of 6)
Next prime: 3,701 (gap of 4)

Pair status: cousin with 3701, sexy with 3691.

Hex color

#000E71

RGB(0, 14, 113)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.113.

Address: 0.0.14.113
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.113

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

Musical pitch

Heard as a frequency, 3,697 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -15¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +23¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -14¢)

Position in π

The digit sequence 3697 first appears in π at position 42,419 of the decimal expansion (the 42,419ordinal-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 3697 on Pi Search ↗