Live analysis

13,488

13,488 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.).

13,488 (thirteen thousand four hundred eighty-eight) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 281. Its proper divisors sum to 21,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x34B0.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 13,495 13,496 13,497 13,498 13,499 13,500

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 24
Digit product: 768
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 88,431
Recamán's sequence: a(47,299) = 13,488
Square (n²): 181,926,144
Cube (n³): 2,453,819,830,272
Divisor count: 20
σ(n) — sum of divisors: 34,968
φ(n) — Euler's totient: 4,480
Sum of prime factors: 292

Primality

Prime factorization: 2 ⁴ × 3 × 281

Nearest primes: 13,487 (−1) · 13,499 (+11)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 281 · 562 · 843 · 1124 · 1686 · 2248 · 3372 · 4496 · 6744 (half) · 13488

Aliquot sum (sum of proper divisors): 21,480

Factor pairs (a × b = 13,488)

1 × 13488

2 × 6744

3 × 4496

4 × 3372

6 × 2248

8 × 1686

12 × 1124

16 × 843

24 × 562

48 × 281

First multiples

13,488 · 26,976 (double) · 40,464 · 53,952 · 67,440 · 80,928 · 94,416 · 107,904 · 121,392 · 134,880

Sums & aliquot sequence

As consecutive integers: 4,495 + 4,496 + 4,497 406 + 407 + … + 437 93 + 94 + … + 188

Aliquot sequence: 13,488 → 21,480 → 43,320 → 93,840 → 227,568 → 415,248 → 688,848 → 1,120,560 → 3,164,880 → 6,646,992 → 12,086,928 → 28,342,032 → 45,117,552 → 79,735,568 → 89,795,248 → 88,427,720 → 111,382,000 — unresolved within range

Continued fraction of √n

√13,488 = [116; (7, 3, 1, 13, 1, 3, 7, 232)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand four hundred eighty-eight
Ordinal: 13488th
Binary: 11010010110000
Octal: 32260
Hexadecimal: 0x34B0
Base64: NLA=
One's complement: 52,047 (16-bit)
Scientific notation: 1.3488 × 10⁴
As a duration: 13,488 s = 3 hours, 44 minutes, 48 seconds

In other bases

ternary (3) 200111120

quaternary (4) 3102300

quinary (5) 412423

senary (6) 142240

septenary (7) 54216

nonary (9) 20446

undecimal (11) a152

duodecimal (12) 7980

tridecimal (13) 61a7

tetradecimal (14) 4cb6

pentadecimal (15) 3ee3

Palindromic in base 15

As an angle

13,488° = 37 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγυπηʹ
Mayan (base 20): 𝋡·𝋭·𝋮·𝋨
Chinese: 一萬三千四百八十八
Chinese (financial): 壹萬參仟肆佰捌拾捌

In other modern scripts

Eastern Arabic ١٣٤٨٨ Devanagari १३४८८ Bengali ১৩৪৮৮ Tamil ௧௩௪௮௮ Thai ๑๓๔๘๘ Tibetan ༡༣༤༨༨ Khmer ១៣៤៨៨ Lao ໑໓໔໘໘ Burmese ၁၃၄၈၈

Digit at this position in famous constants

π — Pi (π): Digit 13,488 = 2
e — Euler's number (e): Digit 13,488 = 5
φ — Golden ratio (φ): Digit 13,488 = 9
√2 — Pythagoras's (√2): Digit 13,488 = 6
ln 2 — Natural log of 2: Digit 13,488 = 5
γ — Euler-Mascheroni (γ): Digit 13,488 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13488, here are decompositions:

11 + 13477 = 13488
19 + 13469 = 13488
31 + 13457 = 13488
37 + 13451 = 13488
47 + 13441 = 13488
67 + 13421 = 13488
71 + 13417 = 13488
89 + 13399 = 13488

Showing the first eight; more decompositions exist.

Unicode codepoint

㒰

CJK Unified Ideograph-34B0

U+34B0

Other letter (Lo)

UTF-8 encoding: E3 92 B0 (3 bytes).

Lookup U+34B0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0034B0

RGB(0, 52, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.176.

Address: 0.0.52.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.176

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

Musical pitch

Heard as a frequency, 13,488 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +27¢)

Position in π

The digit sequence 13488 first appears in π at position 51,772 of the decimal expansion (the 51,772ordinal-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 13488 on Pi Search ↗