Number

7,901

7,901 is a prime, odd.

7,901 (seven thousand nine hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1EDD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

11 notable facts · grade A

7,889 7,890 7,891 7,892 7,893 7,894 7,895 7,896 7,897 7,898 7,899 7,900 7,901 7,902 7,903 7,904 7,905 7,906 7,907 7,908 7,909 7,910 7,911 7,912 7,913

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 1,097
Recamán's sequence: a(25,794) = 7,901
Square (n²): 62,425,801
Cube (n³): 493,226,253,701
Divisor count: 2
σ(n) — sum of divisors: 7,902
φ(n) — Euler's totient: 7,900

Primality

7,901 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 7901

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 7,901)

1 × 7901

First multiples

7,901 · 15,802 (double) · 23,703 · 31,604 · 39,505 · 47,406 · 55,307 · 63,208 · 71,109 · 79,010

Sums & aliquot sequence

As a sum of two squares: 26² + 85²

As consecutive integers: 3,950 + 3,951

Continued fraction of √n

√7,901 = [88; (1, 7, 1, 8, 2, 7, 3, 1, 9, 1, 2, 3, 13, 2, 1, 1, 1, 15, 1, 1, 6, 1, 1, 2, …)]

Representations

In words: seven thousand nine hundred one
Ordinal: 7901st
Binary: 1111011011101
Octal: 17335
Hexadecimal: 0x1EDD
Base64: Ht0=
One's complement: 57,634 (16-bit)
Scientific notation: 7.901 × 10³
As a duration: 7,901 s = 2 hours, 11 minutes, 41 seconds

In other bases

ternary (3) 101211122

quaternary (4) 1323131

quinary (5) 223101

senary (6) 100325

septenary (7) 32015

nonary (9) 11748

undecimal (11) 5a33

duodecimal (12) 46a5

tridecimal (13) 379a

tetradecimal (14) 2c45

pentadecimal (15) 251b

As an angle

7,901° = 21 × 360° + 341°

341° ≈ 5.952 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵ζϡαʹ
Mayan (base 20): 𝋳·𝋯·𝋡
Chinese: 七千九百零一
Chinese (financial): 柒仟玖佰零壹

In other modern scripts

Eastern Arabic ٧٩٠١ Devanagari ७९०१ Bengali ৭৯০১ Tamil ௭௯௦௧ Thai ๗๙๐๑ Tibetan ༧༩༠༡ Khmer ៧៩០១ Lao ໗໙໐໑ Burmese ၇၉၀၁

Digit at this position in famous constants

π — Pi (π): Digit 7,901 = 7
e — Euler's number (e): Digit 7,901 = 0
φ — Golden ratio (φ): Digit 7,901 = 3
√2 — Pythagoras's (√2): Digit 7,901 = 6
ln 2 — Natural log of 2: Digit 7,901 = 4
γ — Euler-Mascheroni (γ): Digit 7,901 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 7,883 (gap of 18)
Next prime: 7,907 (gap of 6)

Pair status: sexy with 7907.

Unicode codepoint

ờ

Latin Small Letter O With Horn And Grave

U+1EDD

Lowercase letter (Ll)

UTF-8 encoding: E1 BB 9D (3 bytes).

Lookup U+1EDD on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001EDD

RGB(0, 30, 221)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.30.221.

Address: 0.0.30.221
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.30.221

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

Musical pitch

Heard as a frequency, 7,901 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, exact)
Scientific pitch (C4 = 256 Hz): B8 (7732.2 Hz, +37¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +1¢)

Position in π

The digit sequence 7901 first appears in π at position 6,668 of the decimal expansion (the 6,668ordinal-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 7901 on Pi Search ↗