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Number

4,409

4,409 is a prime, odd.

4,409 (four thousand four hundred nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1139.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
9,044
Recamán's sequence
a(13,889) = 4,409
Square (n²)
19,439,281
Cube (n³)
85,707,789,929
Divisor count
2
σ(n) — sum of divisors
4,410
φ(n) — Euler's totient
4,408

Primality

4,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,409)
1 × 4409
First multiples
4,409 · 8,818 (double) · 13,227 · 17,636 · 22,045 · 26,454 · 30,863 · 35,272 · 39,681 · 44,090

Sums & aliquot sequence

As a sum of two squares: 40² + 53²
As consecutive integers: 2,204 + 2,205

Continued fraction of √n

√4,409 = [66; (2, 2, 132)]

Period length 3 — the block in parentheses repeats forever.

Representations

In words
four thousand four hundred nine
Ordinal
4409th
Binary
1000100111001
Octal
10471
Hexadecimal
0x1139
Base64
ETk=
One's complement
61,126 (16-bit)
Scientific notation
4.409 × 10³
As a duration
4,409 s = 1 hour, 13 minutes, 29 seconds
In other bases
ternary (3) 20001022
quaternary (4) 1010321
quinary (5) 120114
senary (6) 32225
septenary (7) 15566
nonary (9) 6038
undecimal (11) 3349
duodecimal (12) 2675
tridecimal (13) 2012
tetradecimal (14) 186d
pentadecimal (15) 148e

As an angle

4,409° = 12 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δυθʹ
Mayan (base 20)
𝋫·𝋠·𝋩
Chinese
四千四百零九
Chinese (financial)
肆仟肆佰零玖
In other modern scripts
Eastern Arabic ٤٤٠٩ Devanagari ४४०९ Bengali ৪৪০৯ Tamil ௪௪௦௯ Thai ๔๔๐๙ Tibetan ༤༤༠༩ Khmer ៤៤០៩ Lao ໔໔໐໙ Burmese ၄၄၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,409 = 5
e — Euler's number (e)
Digit 4,409 = 8
φ — Golden ratio (φ)
Digit 4,409 = 0
√2 — Pythagoras's (√2)
Digit 4,409 = 8
ln 2 — Natural log of 2
Digit 4,409 = 6
γ — Euler-Mascheroni (γ)
Digit 4,409 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,397 (gap of 12)
  • Next prime: 4,421 (gap of 12)
Unicode codepoint
Hangul Choseong Sios-Thieuth
U+1139
Other letter (Lo)

UTF-8 encoding: E1 84 B9 (3 bytes).

Hex color
#001139
RGB(0, 17, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.57.

Address
0.0.17.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.17.57

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

Musical pitch

Heard as a frequency, 4,409 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -10¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +27¢)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -9¢)
Position in π

The digit sequence 4409 first appears in π at position 655 of the decimal expansion (the 655ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.