Number

7,949

7,949 is a prime, odd.

7,949 (seven thousand nine hundred forty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1F0D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

7,937 7,938 7,939 7,940 7,941 7,942 7,943 7,944 7,945 7,946 7,947 7,948 7,949 7,950 7,951 7,952 7,953 7,954 7,955 7,956 7,957 7,958 7,959 7,960 7,961

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Properties

Parity: Odd
Digit count: 4
Digit sum: 29
Digit product: 2,268
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 9,497
Recamán's sequence: a(25,698) = 7,949
Square (n²): 63,186,601
Cube (n³): 502,270,291,349
Divisor count: 2
σ(n) — sum of divisors: 7,950
φ(n) — Euler's totient: 7,948

Primality

7,949 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 7949

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 7,949)

1 × 7949

First multiples

7,949 · 15,898 (double) · 23,847 · 31,796 · 39,745 · 47,694 · 55,643 · 63,592 · 71,541 · 79,490

Sums & aliquot sequence

As a sum of two squares: 35² + 82²

As consecutive integers: 3,974 + 3,975

Continued fraction of √n

√7,949 = [89; (6, 2, 1, 3, 9, 8, 1, 4, 4, 1, 8, 9, 3, 1, 2, 6, 178)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words: seven thousand nine hundred forty-nine
Ordinal: 7949th
Binary: 1111100001101
Octal: 17415
Hexadecimal: 0x1F0D
Base64: Hw0=
One's complement: 57,586 (16-bit)
Scientific notation: 7.949 × 10³
As a duration: 7,949 s = 2 hours, 12 minutes, 29 seconds

In other bases

ternary (3) 101220102

quaternary (4) 1330031

quinary (5) 223244

senary (6) 100445

septenary (7) 32114

nonary (9) 11812

undecimal (11) 5a77

duodecimal (12) 4725

tridecimal (13) 3806

tetradecimal (14) 2c7b

pentadecimal (15) 254e

As an angle

7,949° = 22 × 360° + 29°

29° ≈ 0.506 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ζϡμθʹ
Mayan (base 20): 𝋳·𝋱·𝋩
Chinese: 七千九百四十九
Chinese (financial): 柒仟玖佰肆拾玖

In other modern scripts

Eastern Arabic ٧٩٤٩ Devanagari ७९४९ Bengali ৭৯৪৯ Tamil ௭௯௪௯ Thai ๗๙๔๙ Tibetan ༧༩༤༩ Khmer ៧៩៤៩ Lao ໗໙໔໙ Burmese ၇၉၄၉

Digit at this position in famous constants

π — Pi (π): Digit 7,949 = 1
e — Euler's number (e): Digit 7,949 = 4
φ — Golden ratio (φ): Digit 7,949 = 9
√2 — Pythagoras's (√2): Digit 7,949 = 3
ln 2 — Natural log of 2: Digit 7,949 = 6
γ — Euler-Mascheroni (γ): Digit 7,949 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 7,937 (gap of 12)
Next prime: 7,951 (gap of 2)

Pair status: twin with 7951.

Unicode codepoint

Ἅ

Greek Capital Letter Alpha With Dasia And Oxia

U+1F0D

Uppercase letter (Lu)

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

Lookup U+1F0D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F0D

RGB(0, 31, 13)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.13.

Address: 0.0.31.13
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.13

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

Musical pitch

Heard as a frequency, 7,949 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): B8 (7732.2 Hz, +48¢ — about midway to C9)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +12¢)

Position in π

The digit sequence 7949 first appears in π at position 7,109 of the decimal expansion (the 7,109ordinal-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 7949 on Pi Search ↗