Number

3,407

3,407 is a prime, odd.

3,407 (three thousand four hundred seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCDVII and in binary, 110101001111.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,395 3,396 3,397 3,398 3,399 3,400 3,401 3,402 3,403 3,404 3,405 3,406 3,407 3,408 3,409 3,410 3,411 3,412 3,413 3,414 3,415 3,416 3,417 3,418 3,419

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 7,043
Recamán's sequence: a(15,077) = 3,407
Square (n²): 11,607,649
Cube (n³): 39,547,260,143
Divisor count: 2
σ(n) — sum of divisors: 3,408
φ(n) — Euler's totient: 3,406

Primality

3,407 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3407

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,407)

1 × 3407

First multiples

3,407 · 6,814 (double) · 10,221 · 13,628 · 17,035 · 20,442 · 23,849 · 27,256 · 30,663 · 34,070

Sums & aliquot sequence

As consecutive integers: 1,703 + 1,704

Continued fraction of √n

√3,407 = [58; (2, 1, 2, 2, 2, 8, 1, 1, 3, 4, 4, 1, 5, 2, 1, 57, 1, 2, 5, 1, 4, 4, 3, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred seven
Ordinal: 3407th
Roman numeral: MMMCDVII
Binary: 110101001111
Octal: 6517
Hexadecimal: 0xD4F
Base64: DU8=
One's complement: 62,128 (16-bit)
Scientific notation: 3.407 × 10³
As a duration: 3,407 s = 56 minutes, 47 seconds

In other bases

ternary (3) 11200012

quaternary (4) 311033

quinary (5) 102112

senary (6) 23435

septenary (7) 12635

nonary (9) 4605

undecimal (11) 2618

duodecimal (12) 1b7b

tridecimal (13) 1721

tetradecimal (14) 1355

pentadecimal (15) 1022

As an angle

3,407° = 9 × 360° + 167°

167° ≈ 2.915 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γυζʹ
Mayan (base 20): 𝋨·𝋪·𝋧
Chinese: 三千四百零七
Chinese (financial): 參仟肆佰零柒

In other modern scripts

Eastern Arabic ٣٤٠٧ Devanagari ३४०७ Bengali ৩৪০৭ Tamil ௩௪௦௭ Thai ๓๔๐๗ Tibetan ༣༤༠༧ Khmer ៣៤០៧ Lao ໓໔໐໗ Burmese ၃၄၀၇

Digit at this position in famous constants

π — Pi (π): Digit 3,407 = 0
e — Euler's number (e): Digit 3,407 = 4
φ — Golden ratio (φ): Digit 3,407 = 5
√2 — Pythagoras's (√2): Digit 3,407 = 9
ln 2 — Natural log of 2: Digit 3,407 = 1
γ — Euler-Mascheroni (γ): Digit 3,407 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,391 (gap of 16)
Next prime: 3,413 (gap of 6)

Pair status: sexy with 3413.

Unicode codepoint

൏

Malayalam Sign Para

U+0D4F

Other symbol (So)

UTF-8 encoding: E0 B5 8F (3 bytes).

Lookup U+0D4F on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D4F

RGB(0, 13, 79)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.79.

Address: 0.0.13.79
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.79

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

Musical pitch

Heard as a frequency, 3,407 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +44¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -19¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +45¢ — about midway to A♯7)

Position in π

The digit sequence 3407 first appears in π at position 5,513 of the decimal expansion (the 5,513ordinal-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 3407 on Pi Search ↗