Number

9,901

9,901 is a prime, odd.

9,901 (nine 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, 0x26AD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Flippable Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

9,889 9,890 9,891 9,892 9,893 9,894 9,895 9,896 9,897 9,898 9,899 9,900 9,901 9,902 9,903 9,904 9,905 9,906 9,907 9,908 9,909 9,910 9,911 9,912 9,913

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 14 bits
Reversed: 1,099
Flips to (rotate 180°): 1,066
Recamán's sequence: a(7,705) = 9,901
Square (n²): 98,029,801
Cube (n³): 970,593,059,701
Divisor count: 2
σ(n) — sum of divisors: 9,902
φ(n) — Euler's totient: 9,900

Primality

9,901 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 9901

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 9,901)

1 × 9901

First multiples

9,901 · 19,802 (double) · 29,703 · 39,604 · 49,505 · 59,406 · 69,307 · 79,208 · 89,109 · 99,010

Sums & aliquot sequence

As a sum of two squares: 10² + 99²

As consecutive integers: 4,950 + 4,951

Continued fraction of √n

√9,901 = [99; (1, 1, 65, 1, 5, 21, 1, 17, 7, 3, 5, 1, 2, 2, 9, 1, 1, 9, 2, 2, 1, 5, 3, 7, …)]

Period length 33 — the block in parentheses repeats forever.

Representations

In words: nine thousand nine hundred one
Ordinal: 9901st
Binary: 10011010101101
Octal: 23255
Hexadecimal: 0x26AD
Base64: Jq0=
One's complement: 55,634 (16-bit)
Scientific notation: 9.901 × 10³
As a duration: 9,901 s = 2 hours, 45 minutes, 1 second

In other bases

ternary (3) 111120201

quaternary (4) 2122231

quinary (5) 304101

senary (6) 113501

septenary (7) 40603

nonary (9) 14521

undecimal (11) 7491

duodecimal (12) 5891

tridecimal (13) 4678

tetradecimal (14) 3873

pentadecimal (15) 2e01

As an angle

9,901° = 27 × 360° + 181°

181° ≈ 3.159 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵θϡαʹ
Mayan (base 20): 𝋡·𝋤·𝋯·𝋡
Chinese: 九千九百零一
Chinese (financial): 玖仟玖佰零壹

In other modern scripts

Eastern Arabic ٩٩٠١ Devanagari ९९०१ Bengali ৯৯০১ Tamil ௯௯௦௧ Thai ๙๙๐๑ Tibetan ༩༩༠༡ Khmer ៩៩០១ Lao ໙໙໐໑ Burmese ၉၉၀၁

Digit at this position in famous constants

π — Pi (π): Digit 9,901 = 1
e — Euler's number (e): Digit 9,901 = 5
φ — Golden ratio (φ): Digit 9,901 = 8
√2 — Pythagoras's (√2): Digit 9,901 = 6
ln 2 — Natural log of 2: Digit 9,901 = 0
γ — Euler-Mascheroni (γ): Digit 9,901 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 9,887 (gap of 14)
Next prime: 9,907 (gap of 6)

Pair status: sexy with 9907.

Unicode codepoint

⚭

Marriage Symbol

U+26AD

Other symbol (So)

UTF-8 encoding: E2 9A AD (3 bytes).

Lookup U+26AD on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0026AD

RGB(0, 38, 173)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.38.173.

Address: 0.0.38.173
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.38.173

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

Musical pitch

Heard as a frequency, 9,901 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, -10¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +28¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, -8¢)

Position in π

The digit sequence 9901 first appears in π at position 11,873 of the decimal expansion (the 11,873ordinal-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 9901 on Pi Search ↗