Live analysis

3,428

3,428 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.).

3,428 (three thousand four hundred twenty-eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 857. Written other ways, in Roman numerals it is MMMCDXXVIII and in binary, 110101100100.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

3,416 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 17
Digit product: 192
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 8,243
Recamán's sequence: a(15,035) = 3,428
Square (n²): 11,751,184
Cube (n³): 40,283,058,752
Divisor count: 6
σ(n) — sum of divisors: 6,006
φ(n) — Euler's totient: 1,712
Sum of prime factors: 861

Primality

Prime factorization: 2 ² × 857

Nearest primes: 3,413 (−15) · 3,433 (+5)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 857 · 1714 (half) · 3428

Aliquot sum (sum of proper divisors): 2,578

Factor pairs (a × b = 3,428)

1 × 3428

2 × 1714

4 × 857

First multiples

3,428 · 6,856 (double) · 10,284 · 13,712 · 17,140 · 20,568 · 23,996 · 27,424 · 30,852 · 34,280

Sums & aliquot sequence

As a sum of two squares: 8² + 58²

As consecutive integers: 425 + 426 + … + 432

Aliquot sequence: 3,428 → 2,578 → 1,292 → 1,228 → 928 → 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 — unresolved within range

Continued fraction of √n

√3,428 = [58; (1, 1, 4, 1, 1, 2, 3, 3, 1, 2, 1, 8, 3, 1, 1, 1, 28, 1, 1, 1, 3, 8, 1, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred twenty-eight
Ordinal: 3428th
Roman numeral: MMMCDXXVIII
Binary: 110101100100
Octal: 6544
Hexadecimal: 0xD64
Base64: DWQ=
One's complement: 62,107 (16-bit)
Scientific notation: 3.428 × 10³
As a duration: 3,428 s = 57 minutes, 8 seconds

In other bases

ternary (3) 11200222

quaternary (4) 311210

quinary (5) 102203

senary (6) 23512

septenary (7) 12665

nonary (9) 4628

undecimal (11) 2637

duodecimal (12) 1b98

tridecimal (13) 1739

tetradecimal (14) 136c

pentadecimal (15) 1038

As an angle

3,428° = 9 × 360° + 188°

188° ≈ 3.281 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γυκηʹ
Mayan (base 20): 𝋨·𝋫·𝋨
Chinese: 三千四百二十八
Chinese (financial): 參仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ٣٤٢٨ Devanagari ३४२८ Bengali ৩৪২৮ Tamil ௩௪௨௮ Thai ๓๔๒๘ Tibetan ༣༤༢༨ Khmer ៣៤២៨ Lao ໓໔໒໘ Burmese ၃၄၂၈

Digit at this position in famous constants

π — Pi (π): Digit 3,428 = 2
e — Euler's number (e): Digit 3,428 = 4
φ — Golden ratio (φ): Digit 3,428 = 3
√2 — Pythagoras's (√2): Digit 3,428 = 9
ln 2 — Natural log of 2: Digit 3,428 = 1
γ — Euler-Mascheroni (γ): Digit 3,428 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3428, here are decompositions:

37 + 3391 = 3428
67 + 3361 = 3428
97 + 3331 = 3428
109 + 3319 = 3428
127 + 3301 = 3428
157 + 3271 = 3428
199 + 3229 = 3428
211 + 3217 = 3428

Showing the first eight; more decompositions exist.

Hex color

#000D64

RGB(0, 13, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.100.

Address: 0.0.13.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.100

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

Musical pitch

Heard as a frequency, 3,428 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -46¢ — 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, -45¢ — about midway to A7)

Position in π

The digit sequence 3428 first appears in π at position 2,922 of the decimal expansion (the 2,922ordinal-suffix:nd 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 3428 on Pi Search ↗