Live analysis

13,476

13,476 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.).

13,476 (thirteen thousand four hundred seventy-six) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 1,123. Its proper divisors sum to 17,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x34A4.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

13,464 13,465 13,466 13,467 13,468 13,469 13,470 13,471 13,472 13,473 13,474 13,475 13,476 13,477 13,478 13,479 13,480 13,481 13,482 13,483 13,484 13,485 13,486 13,487 13,488

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 21
Digit product: 504
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 67,431
Recamán's sequence: a(47,323) = 13,476
Square (n²): 181,602,576
Cube (n³): 2,447,276,314,176
Divisor count: 12
σ(n) — sum of divisors: 31,472
φ(n) — Euler's totient: 4,488
Sum of prime factors: 1,130

Primality

Prime factorization: 2 ² × 3 × 1123

Nearest primes: 13,469 (−7) · 13,477 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 1123 · 2246 · 3369 · 4492 · 6738 (half) · 13476

Aliquot sum (sum of proper divisors): 17,996

Factor pairs (a × b = 13,476)

1 × 13476

2 × 6738

3 × 4492

4 × 3369

6 × 2246

12 × 1123

First multiples

13,476 · 26,952 (double) · 40,428 · 53,904 · 67,380 · 80,856 · 94,332 · 107,808 · 121,284 · 134,760

Sums & aliquot sequence

As consecutive integers: 4,491 + 4,492 + 4,493 1,681 + 1,682 + … + 1,688 550 + 551 + … + 573

Aliquot sequence: 13,476 → 17,996 → 16,444 → 12,340 → 13,616 → 14,656 → 14,554 → 8,486 → 4,246 → 2,738 → 1,483 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,476 = [116; (11, 1, 1, 1, 1, 8, 1, 2, 6, 3, 2, 7, 1, 6, 6, 2, 20, 1, 1, 1, 4, 3, 1, 1, …)]

Representations

In words: thirteen thousand four hundred seventy-six
Ordinal: 13476th
Binary: 11010010100100
Octal: 32244
Hexadecimal: 0x34A4
Base64: NKQ=
One's complement: 52,059 (16-bit)
Scientific notation: 1.3476 × 10⁴
As a duration: 13,476 s = 3 hours, 44 minutes, 36 seconds

In other bases

ternary (3) 200111010

quaternary (4) 3102210

quinary (5) 412401

senary (6) 142220

septenary (7) 54201

nonary (9) 20433

undecimal (11) a141

duodecimal (12) 7970

tridecimal (13) 6198

tetradecimal (14) 4ca8

pentadecimal (15) 3ed6

As an angle

13,476° = 37 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγυοϛʹ
Mayan (base 20): 𝋡·𝋭·𝋭·𝋰
Chinese: 一萬三千四百七十六
Chinese (financial): 壹萬參仟肆佰柒拾陸

In other modern scripts

Eastern Arabic ١٣٤٧٦ Devanagari १३४७६ Bengali ১৩৪৭৬ Tamil ௧௩௪௭௬ Thai ๑๓๔๗๖ Tibetan ༡༣༤༧༦ Khmer ១៣៤៧៦ Lao ໑໓໔໗໖ Burmese ၁၃၄၇၆

Digit at this position in famous constants

π — Pi (π): Digit 13,476 = 3
e — Euler's number (e): Digit 13,476 = 3
φ — Golden ratio (φ): Digit 13,476 = 8
√2 — Pythagoras's (√2): Digit 13,476 = 7
ln 2 — Natural log of 2: Digit 13,476 = 3
γ — Euler-Mascheroni (γ): Digit 13,476 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13476, here are decompositions:

7 + 13469 = 13476
13 + 13463 = 13476
19 + 13457 = 13476
59 + 13417 = 13476
79 + 13397 = 13476
109 + 13367 = 13476
137 + 13339 = 13476
139 + 13337 = 13476

Showing the first eight; more decompositions exist.

Unicode codepoint

㒤

CJK Unified Ideograph-34A4

U+34A4

Other letter (Lo)

UTF-8 encoding: E3 92 A4 (3 bytes).

Lookup U+34A4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0034A4

RGB(0, 52, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.164.

Address: 0.0.52.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.164

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

Musical pitch

Heard as a frequency, 13,476 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +24¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +25¢)

Position in π

The digit sequence 13476 first appears in π at position 18,642 of the decimal expansion (the 18,642ordinal-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 13476 on Pi Search ↗