Live analysis

13,482

13,482 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.).

13,482 (thirteen thousand four hundred eighty-two) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 107. Its proper divisors sum to 20,214, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x34AA.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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 13,489 13,490 13,491 13,492 13,493 13,494

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 192
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 28,431
Recamán's sequence: a(47,311) = 13,482
Square (n²): 181,764,324
Cube (n³): 2,450,546,616,168
Divisor count: 24
σ(n) — sum of divisors: 33,696
φ(n) — Euler's totient: 3,816
Sum of prime factors: 122

Primality

Prime factorization: 2 × 3 ² × 7 × 107

Nearest primes: 13,477 (−5) · 13,487 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 107 · 126 · 214 · 321 · 642 · 749 · 963 · 1498 · 1926 · 2247 · 4494 · 6741 (half) · 13482

Aliquot sum (sum of proper divisors): 20,214

Factor pairs (a × b = 13,482)

1 × 13482

2 × 6741

3 × 4494

6 × 2247

7 × 1926

9 × 1498

14 × 963

18 × 749

21 × 642

42 × 321

63 × 214

107 × 126

First multiples

13,482 · 26,964 (double) · 40,446 · 53,928 · 67,410 · 80,892 · 94,374 · 107,856 · 121,338 · 134,820

Sums & aliquot sequence

As consecutive integers: 4,493 + 4,494 + 4,495 3,369 + 3,370 + 3,371 + 3,372 1,923 + 1,924 + … + 1,929 1,494 + 1,495 + … + 1,502

Aliquot sequence: 13,482 → 20,214 → 23,622 → 25,530 → 40,134 → 40,146 → 40,158 → 51,570 → 86,670 → 148,554 → 234,774 → 273,942 → 379,458 → 463,902 → 463,914 → 685,206 → 837,594 — unresolved within range

Continued fraction of √n

√13,482 = [116; (8, 1, 12, 1, 3, 2, 1, 2, 5, 1, 2, 1, 5, 2, 1, 2, 3, 1, 12, 1, 8, 232)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand four hundred eighty-two
Ordinal: 13482nd
Binary: 11010010101010
Octal: 32252
Hexadecimal: 0x34AA
Base64: NKo=
One's complement: 52,053 (16-bit)
Scientific notation: 1.3482 × 10⁴
As a duration: 13,482 s = 3 hours, 44 minutes, 42 seconds

In other bases

ternary (3) 200111100

quaternary (4) 3102222

quinary (5) 412412

senary (6) 142230

septenary (7) 54210

nonary (9) 20440

undecimal (11) a147

duodecimal (12) 7976

tridecimal (13) 61a1

tetradecimal (14) 4cb0

pentadecimal (15) 3edc

As an angle

13,482° = 37 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγυπβʹ
Mayan (base 20): 𝋡·𝋭·𝋮·𝋢
Chinese: 一萬三千四百八十二
Chinese (financial): 壹萬參仟肆佰捌拾貳

In other modern scripts

Eastern Arabic ١٣٤٨٢ Devanagari १३४८२ Bengali ১৩৪৮২ Tamil ௧௩௪௮௨ Thai ๑๓๔๘๒ Tibetan ༡༣༤༨༢ Khmer ១៣៤៨២ Lao ໑໓໔໘໒ Burmese ၁၃၄၈၂

Digit at this position in famous constants

π — Pi (π): Digit 13,482 = 3
e — Euler's number (e): Digit 13,482 = 6
φ — Golden ratio (φ): Digit 13,482 = 6
√2 — Pythagoras's (√2): Digit 13,482 = 7
ln 2 — Natural log of 2: Digit 13,482 = 9
γ — Euler-Mascheroni (γ): Digit 13,482 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13482, here are decompositions:

5 + 13477 = 13482
13 + 13469 = 13482
19 + 13463 = 13482
31 + 13451 = 13482
41 + 13441 = 13482
61 + 13421 = 13482
71 + 13411 = 13482
83 + 13399 = 13482

Showing the first eight; more decompositions exist.

Unicode codepoint

㒪

CJK Unified Ideograph-34Aa

U+34AA

Other letter (Lo)

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

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

Hex color

#0034AA

RGB(0, 52, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.170.

Address: 0.0.52.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.170

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

Musical pitch

Heard as a frequency, 13,482 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +26¢)

Position in π

The digit sequence 13482 first appears in π at position 88,621 of the decimal expansion (the 88,621ordinal-suffix:st 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 13482 on Pi Search ↗