Live analysis

3,409

3,409 is a composite number, odd.

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.).

3,409 (three thousand four hundred nine) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 7 × 487. Written other ways, in Roman numerals it is MMMCDIX and in binary, 110101010001.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 3,420 3,421

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 9,043
Recamán's sequence: a(15,073) = 3,409
Square (n²): 11,621,281
Cube (n³): 39,616,946,929
Divisor count: 4
σ(n) — sum of divisors: 3,904
φ(n) — Euler's totient: 2,916
Sum of prime factors: 494

Primality

Prime factorization: 7 × 487

Nearest primes: 3,407 (−2) · 3,413 (+4)

Divisors & multiples

All divisors (4)

1 · 7 · 487 · 3409

Aliquot sum (sum of proper divisors): 495

Factor pairs (a × b = 3,409)

1 × 3409

7 × 487

First multiples

3,409 · 6,818 (double) · 10,227 · 13,636 · 17,045 · 20,454 · 23,863 · 27,272 · 30,681 · 34,090

Sums & aliquot sequence

As consecutive integers: 1,704 + 1,705 484 + 485 + … + 490 237 + 238 + … + 250

Aliquot sequence: 3,409 → 495 → 441 → 300 → 568 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,409 = [58; (2, 1, 1, 2, 2, 1, 1, 6, 1, 2, 2, 7, 2, 1, 3, 1, 1, 1, 4, 4, 2, 5, 8, 1, …)]

Representations

In words: three thousand four hundred nine
Ordinal: 3409th
Roman numeral: MMMCDIX
Binary: 110101010001
Octal: 6521
Hexadecimal: 0xD51
Base64: DVE=
One's complement: 62,126 (16-bit)
Scientific notation: 3.409 × 10³
As a duration: 3,409 s = 56 minutes, 49 seconds

In other bases

ternary (3) 11200021

quaternary (4) 311101

quinary (5) 102114

senary (6) 23441

septenary (7) 12640

nonary (9) 4607

undecimal (11) 261a

duodecimal (12) 1b81

tridecimal (13) 1723

tetradecimal (14) 1357

pentadecimal (15) 1024

As an angle

3,409° = 9 × 360° + 169°

169° ≈ 2.95 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γυθʹ
Mayan (base 20): 𝋨·𝋪·𝋩
Chinese: 三千四百零九
Chinese (financial): 參仟肆佰零玖

In other modern scripts

Eastern Arabic ٣٤٠٩ Devanagari ३४०९ Bengali ৩৪০৯ Tamil ௩௪௦௯ Thai ๓๔๐๙ Tibetan ༣༤༠༩ Khmer ៣៤០៩ Lao ໓໔໐໙ Burmese ၃၄၀၉

Digit at this position in famous constants

π — Pi (π): Digit 3,409 = 8
e — Euler's number (e): Digit 3,409 = 0
φ — Golden ratio (φ): Digit 3,409 = 3
√2 — Pythagoras's (√2): Digit 3,409 = 9
ln 2 — Natural log of 2: Digit 3,409 = 4
γ — Euler-Mascheroni (γ): Digit 3,409 = 9

Also seen as

Hex color

#000D51

RGB(0, 13, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.81.

Address: 0.0.13.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.81

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

Musical pitch

Heard as a frequency, 3,409 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +45¢ — about midway to A7)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -18¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +46¢ — about midway to A♯7)

Position in π

The digit sequence 3409 first appears in π at position 43,357 of the decimal expansion (the 43,357ordinal-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 3409 on Pi Search ↗