Number

9,601

9,601 is a prime, odd.

9,601 (nine thousand six hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2581.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

9,589 9,590 9,591 9,592 9,593 9,594 9,595 9,596 9,597 9,598 9,599 9,600 9,601 9,602 9,603 9,604 9,605 9,606 9,607 9,608 9,609 9,610 9,611 9,612 9,613

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 1,069
Flips to (rotate 180°): 1,096
Recamán's sequence: a(4,025) = 9,601
Square (n²): 92,179,201
Cube (n³): 885,012,508,801
Divisor count: 2
σ(n) — sum of divisors: 9,602
φ(n) — Euler's totient: 9,600

Primality

9,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 9601

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 9,601)

1 × 9601

First multiples

9,601 · 19,202 (double) · 28,803 · 38,404 · 48,005 · 57,606 · 67,207 · 76,808 · 86,409 · 96,010

Sums & aliquot sequence

As a sum of two squares: 24² + 95²

As consecutive integers: 4,800 + 4,801

Continued fraction of √n

√9,601 = [97; (1, 64, 3, 21, 2, 3, 1, 6, 2, 12, 1, 1, 2, 38, 1, 3, 1, 12, 3, 1, 3, 4, 11, 3, …)]

Representations

In words: nine thousand six hundred one
Ordinal: 9601st
Binary: 10010110000001
Octal: 22601
Hexadecimal: 0x2581
Base64: JYE=
One's complement: 55,934 (16-bit)
Scientific notation: 9.601 × 10³
As a duration: 9,601 s = 2 hours, 40 minutes, 1 second

In other bases

ternary (3) 111011121

quaternary (4) 2112001

quinary (5) 301401

senary (6) 112241

septenary (7) 36664

nonary (9) 14147

undecimal (11) 7239

duodecimal (12) 5681

tridecimal (13) 44a7

tetradecimal (14) 36db

pentadecimal (15) 2ca1

As an angle

9,601° = 26 × 360° + 241°

241° ≈ 4.206 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵θχαʹ
Mayan (base 20): 𝋡·𝋤·𝋠·𝋡
Chinese: 九千六百零一
Chinese (financial): 玖仟陸佰零壹

In other modern scripts

Eastern Arabic ٩٦٠١ Devanagari ९६०१ Bengali ৯৬০১ Tamil ௯௬௦௧ Thai ๙๖๐๑ Tibetan ༩༦༠༡ Khmer ៩៦០១ Lao ໙໖໐໑ Burmese ၉၆၀၁

Digit at this position in famous constants

π — Pi (π): Digit 9,601 = 4
e — Euler's number (e): Digit 9,601 = 1
φ — Golden ratio (φ): Digit 9,601 = 7
√2 — Pythagoras's (√2): Digit 9,601 = 6
ln 2 — Natural log of 2: Digit 9,601 = 4
γ — Euler-Mascheroni (γ): Digit 9,601 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 9,587 (gap of 14)
Next prime: 9,613 (gap of 12)

Unicode codepoint

▁

Lower One Eighth Block

U+2581

Other symbol (So)

UTF-8 encoding: E2 96 81 (3 bytes).

Lookup U+2581 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002581

RGB(0, 37, 129)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.37.129.

Address: 0.0.37.129
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.37.129

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

Musical pitch

Heard as a frequency, 9,601 Hz is closest to:

Concert pitch (A4 = 440 Hz): D9 (9397.3 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): D♯9 (9390.4 Hz, +38¢)

Position in π

The digit sequence 9601 first appears in π at position 6,302 of the decimal expansion (the 6,302ordinal-suffix:nd 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 9601 on Pi Search ↗