Live analysis

13,428

13,428 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.).

13,428 (thirteen thousand four hundred twenty-eight) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 373. Its proper divisors sum to 20,606, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3474.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

13,416 13,417 13,418 13,419 13,420 13,421 13,422 13,423 13,424 13,425 13,426 13,427 13,428 13,429 13,430 13,431 13,432 13,433 13,434 13,435 13,436 13,437 13,438 13,439 13,440

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 192
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 82,431
Recamán's sequence: a(47,419) = 13,428
Square (n²): 180,311,184
Cube (n³): 2,421,218,578,752
Divisor count: 18
σ(n) — sum of divisors: 34,034
φ(n) — Euler's totient: 4,464
Sum of prime factors: 383

Primality

Prime factorization: 2 ² × 3 ² × 373

Nearest primes: 13,421 (−7) · 13,441 (+13)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 373 · 746 · 1119 · 1492 · 2238 · 3357 · 4476 · 6714 (half) · 13428

Aliquot sum (sum of proper divisors): 20,606

Factor pairs (a × b = 13,428)

1 × 13428

2 × 6714

3 × 4476

4 × 3357

6 × 2238

9 × 1492

12 × 1119

18 × 746

36 × 373

First multiples

13,428 · 26,856 (double) · 40,284 · 53,712 · 67,140 · 80,568 · 93,996 · 107,424 · 120,852 · 134,280

Sums & aliquot sequence

As a sum of two squares: 42² + 108²

As consecutive integers: 4,475 + 4,476 + 4,477 1,675 + 1,676 + … + 1,682 1,488 + 1,489 + … + 1,496 548 + 549 + … + 571

Aliquot sequence: 13,428 → 20,606 → 10,306 → 5,156 → 3,874 → 2,426 → 1,216 → 1,324 → 1,000 → 1,340 → 1,516 → 1,144 → 1,376 → 1,396 → 1,054 → 674 → 340 — unresolved within range

Continued fraction of √n

√13,428 = [115; (1, 7, 3, 1, 1, 4, 6, 4, 1, 1, 3, 7, 1, 230)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand four hundred twenty-eight
Ordinal: 13428th
Binary: 11010001110100
Octal: 32164
Hexadecimal: 0x3474
Base64: NHQ=
One's complement: 52,107 (16-bit)
Scientific notation: 1.3428 × 10⁴
As a duration: 13,428 s = 3 hours, 43 minutes, 48 seconds

In other bases

ternary (3) 200102100

quaternary (4) 3101310

quinary (5) 412203

senary (6) 142100

septenary (7) 54102

nonary (9) 20370

undecimal (11) a0a8

duodecimal (12) 7930

tridecimal (13) 615c

tetradecimal (14) 4c72

pentadecimal (15) 3ea3

As an angle

13,428° = 37 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγυκηʹ
Mayan (base 20): 𝋡·𝋭·𝋫·𝋨
Chinese: 一萬三千四百二十八
Chinese (financial): 壹萬參仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ١٣٤٢٨ Devanagari १३४२८ Bengali ১৩৪২৮ Tamil ௧௩௪௨௮ Thai ๑๓๔๒๘ Tibetan ༡༣༤༢༨ Khmer ១៣៤២៨ Lao ໑໓໔໒໘ Burmese ၁၃၄၂၈

Digit at this position in famous constants

π — Pi (π): Digit 13,428 = 7
e — Euler's number (e): Digit 13,428 = 2
φ — Golden ratio (φ): Digit 13,428 = 3
√2 — Pythagoras's (√2): Digit 13,428 = 0
ln 2 — Natural log of 2: Digit 13,428 = 5
γ — Euler-Mascheroni (γ): Digit 13,428 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13428, here are decompositions:

7 + 13421 = 13428
11 + 13417 = 13428
17 + 13411 = 13428
29 + 13399 = 13428
31 + 13397 = 13428
47 + 13381 = 13428
61 + 13367 = 13428
89 + 13339 = 13428

Showing the first eight; more decompositions exist.

Unicode codepoint

㑴

CJK Unified Ideograph-3474

U+3474

Other letter (Lo)

UTF-8 encoding: E3 91 B4 (3 bytes).

Lookup U+3474 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003474

RGB(0, 52, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.116.

Address: 0.0.52.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.116

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

Musical pitch

Heard as a frequency, 13,428 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -44¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +19¢)

Position in π

The digit sequence 13428 first appears in π at position 41,975 of the decimal expansion (the 41,975ordinal-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 13428 on Pi Search ↗