Live analysis

3,429

3,429 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.).

3,429 (three thousand four hundred twenty-nine) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3³ × 127. Written other ways, in Roman numerals it is MMMCDXXIX and in binary, 110101100101.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

3,417 3,418 3,419 3,420 3,421 3,422 3,423 3,424 3,425 3,426 3,427 3,428 3,429 3,430 3,431 3,432 3,433 3,434 3,435 3,436 3,437 3,438 3,439 3,440 3,441

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 18
Digit product: 216
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 9,243
Recamán's sequence: a(15,033) = 3,429
Square (n²): 11,758,041
Cube (n³): 40,318,322,589
Divisor count: 8
σ(n) — sum of divisors: 5,120
φ(n) — Euler's totient: 2,268
Sum of prime factors: 136

Primality

Prime factorization: 3 ³ × 127

Nearest primes: 3,413 (−16) · 3,433 (+4)

Divisors & multiples

All divisors (8)

1 · 3 · 9 · 27 · 127 · 381 · 1143 · 3429

Aliquot sum (sum of proper divisors): 1,691

Factor pairs (a × b = 3,429)

1 × 3429

3 × 1143

9 × 381

27 × 127

First multiples

3,429 · 6,858 (double) · 10,287 · 13,716 · 17,145 · 20,574 · 24,003 · 27,432 · 30,861 · 34,290

Sums & aliquot sequence

As consecutive integers: 1,714 + 1,715 1,142 + 1,143 + 1,144 569 + 570 + 571 + 572 + 573 + 574 377 + 378 + … + 385

Aliquot sequence: 3,429 → 1,691 → 109 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,429 = [58; (1, 1, 3, 1, 5, 12, 1, 5, 4, 5, 1, 12, 5, 1, 3, 1, 1, 116)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred twenty-nine
Ordinal: 3429th
Roman numeral: MMMCDXXIX
Binary: 110101100101
Octal: 6545
Hexadecimal: 0xD65
Base64: DWU=
One's complement: 62,106 (16-bit)
Scientific notation: 3.429 × 10³
As a duration: 3,429 s = 57 minutes, 9 seconds

In other bases

ternary (3) 11201000

quaternary (4) 311211

quinary (5) 102204

senary (6) 23513

septenary (7) 12666

nonary (9) 4630

undecimal (11) 2638

duodecimal (12) 1b99

tridecimal (13) 173a

tetradecimal (14) 136d

pentadecimal (15) 1039

As an angle

3,429° = 9 × 360° + 189°

189° ≈ 3.299 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γυκθʹ
Mayan (base 20): 𝋨·𝋫·𝋩
Chinese: 三千四百二十九
Chinese (financial): 參仟肆佰貳拾玖

In other modern scripts

Eastern Arabic ٣٤٢٩ Devanagari ३४२९ Bengali ৩৪২৯ Tamil ௩௪௨௯ Thai ๓๔๒๙ Tibetan ༣༤༢༩ Khmer ៣៤២៩ Lao ໓໔໒໙ Burmese ၃၄၂၉

Digit at this position in famous constants

π — Pi (π): Digit 3,429 = 7
e — Euler's number (e): Digit 3,429 = 6
φ — Golden ratio (φ): Digit 3,429 = 2
√2 — Pythagoras's (√2): Digit 3,429 = 3
ln 2 — Natural log of 2: Digit 3,429 = 1
γ — Euler-Mascheroni (γ): Digit 3,429 = 6

Also seen as

Hex color

#000D65

RGB(0, 13, 101)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.101.

Address: 0.0.13.101
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.101

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

Musical pitch

Heard as a frequency, 3,429 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -45¢ — about midway to G♯7)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -44¢)

Position in π

The digit sequence 3429 first appears in π at position 21,669 of the decimal expansion (the 21,669ordinal-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 3429 on Pi Search ↗