Live analysis

3,904

3,904 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,904 (three thousand nine hundred four) is an even 4-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 61. Its proper divisors sum to 3,970, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCMIV and in binary, 111101000000.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,892 3,893 3,894 3,895 3,896 3,897 3,898 3,899 3,900 3,901 3,902 3,903 3,904 3,905 3,906 3,907 3,908 3,909 3,910 3,911 3,912 3,913 3,914 3,915 3,916

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 4,093
Recamán's sequence: a(6,120) = 3,904
Square (n²): 15,241,216
Cube (n³): 59,501,707,264
Divisor count: 14
σ(n) — sum of divisors: 7,874
φ(n) — Euler's totient: 1,920
Sum of prime factors: 73

Primality

Prime factorization: 2 ⁶ × 61

Nearest primes: 3,889 (−15) · 3,907 (+3)

Divisors & multiples

All divisors (14)

1 · 2 · 4 · 8 · 16 · 32 · 61 · 64 · 122 · 244 · 488 · 976 · 1952 (half) · 3904

Aliquot sum (sum of proper divisors): 3,970

Factor pairs (a × b = 3,904)

1 × 3904

2 × 1952

4 × 976

8 × 488

16 × 244

32 × 122

61 × 64

First multiples

3,904 · 7,808 (double) · 11,712 · 15,616 · 19,520 · 23,424 · 27,328 · 31,232 · 35,136 · 39,040

Sums & aliquot sequence

As a sum of two squares: 40² + 48²

As consecutive integers: 34 + 35 + … + 94

Aliquot sequence: 3,904 → 3,970 → 3,194 → 1,600 → 2,337 → 1,023 → 513 → 287 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,904 = [62; (2, 13, 2, 1, 1, 2, 2, 4, 1, 1, 2, 1, 1, 1, 7, 1, 2, 3, 8, 31, 8, 3, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: three thousand nine hundred four
Ordinal: 3904th
Roman numeral: MMMCMIV
Binary: 111101000000
Octal: 7500
Hexadecimal: 0xF40
Base64: D0A=
One's complement: 61,631 (16-bit)
Scientific notation: 3.904 × 10³
As a duration: 3,904 s = 1 hour, 5 minutes, 4 seconds

In other bases

ternary (3) 12100121

quaternary (4) 331000

quinary (5) 111104

senary (6) 30024

septenary (7) 14245

nonary (9) 5317

undecimal (11) 2a2a

duodecimal (12) 2314

tridecimal (13) 1a14

tetradecimal (14) 15cc

pentadecimal (15) 1254

Palindromic in base 3

As an angle

3,904° = 10 × 360° + 304°

304° ≈ 5.306 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γϡδʹ
Mayan (base 20): 𝋩·𝋯·𝋤
Chinese: 三千九百零四
Chinese (financial): 參仟玖佰零肆

In other modern scripts

Eastern Arabic ٣٩٠٤ Devanagari ३९०४ Bengali ৩৯০৪ Tamil ௩௯௦௪ Thai ๓๙๐๔ Tibetan ༣༩༠༤ Khmer ៣៩០៤ Lao ໓໙໐໔ Burmese ၃၉၀၄

Digit at this position in famous constants

π — Pi (π): Digit 3,904 = 3
e — Euler's number (e): Digit 3,904 = 6
φ — Golden ratio (φ): Digit 3,904 = 2
√2 — Pythagoras's (√2): Digit 3,904 = 6
ln 2 — Natural log of 2: Digit 3,904 = 8
γ — Euler-Mascheroni (γ): Digit 3,904 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3904, here are decompositions:

23 + 3881 = 3904
41 + 3863 = 3904
53 + 3851 = 3904
71 + 3833 = 3904
83 + 3821 = 3904
101 + 3803 = 3904
107 + 3797 = 3904
137 + 3767 = 3904

Showing the first eight; more decompositions exist.

Unicode codepoint

ཀ

Tibetan Letter Ka

U+0F40

Other letter (Lo)

UTF-8 encoding: E0 BD 80 (3 bytes).

Lookup U+0F40 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F40

RGB(0, 15, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.64.

Address: 0.0.15.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.64

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

Musical pitch

Heard as a frequency, 3,904 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, -21¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, +17¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, -19¢)

Position in π

The digit sequence 3904 first appears in π at position 1,987 of the decimal expansion (the 1,987ordinal-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 3904 on Pi Search ↗