Live analysis

13,704

13,704 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.).

13,704 (thirteen thousand seven hundred four) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 571. Its proper divisors sum to 20,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3588.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

13,692 13,693 13,694 13,695 13,696 13,697 13,698 13,699 13,700 13,701 13,702 13,703 13,704 13,705 13,706 13,707 13,708 13,709 13,710 13,711 13,712 13,713 13,714 13,715 13,716

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 40,731
Recamán's sequence: a(91,236) = 13,704
Square (n²): 187,799,616
Cube (n³): 2,573,605,937,664
Divisor count: 16
σ(n) — sum of divisors: 34,320
φ(n) — Euler's totient: 4,560
Sum of prime factors: 580

Primality

Prime factorization: 2 ³ × 3 × 571

Nearest primes: 13,697 (−7) · 13,709 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 571 · 1142 · 1713 · 2284 · 3426 · 4568 · 6852 (half) · 13704

Aliquot sum (sum of proper divisors): 20,616

Factor pairs (a × b = 13,704)

1 × 13704

2 × 6852

3 × 4568

4 × 3426

6 × 2284

8 × 1713

12 × 1142

24 × 571

First multiples

13,704 · 27,408 (double) · 41,112 · 54,816 · 68,520 · 82,224 · 95,928 · 109,632 · 123,336 · 137,040

Sums & aliquot sequence

As consecutive integers: 4,567 + 4,568 + 4,569 849 + 850 + … + 864 262 + 263 + … + 309

Aliquot sequence: 13,704 → 20,616 → 30,984 → 46,536 → 86,904 → 165,816 → 367,704 → 628,356 → 837,836 → 628,384 → 630,356 → 491,884 → 368,920 → 499,400 → 772,840 → 978,650 → 975,652 — unresolved within range

Continued fraction of √n

√13,704 = [117; (15, 1, 1, 1, 1, 8, 1, 3, 4, 1, 2, 1, 1, 1, 2, 1, 1, 1, 28, 1, 1, 1, 2, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand seven hundred four
Ordinal: 13704th
Binary: 11010110001000
Octal: 32610
Hexadecimal: 0x3588
Base64: NYg=
One's complement: 51,831 (16-bit)
Scientific notation: 1.3704 × 10⁴
As a duration: 13,704 s = 3 hours, 48 minutes, 24 seconds

In other bases

ternary (3) 200210120

quaternary (4) 3112020

quinary (5) 414304

senary (6) 143240

septenary (7) 54645

nonary (9) 20716

undecimal (11) a329

duodecimal (12) 7b20

tridecimal (13) 6312

tetradecimal (14) 4dcc

pentadecimal (15) 40d9

Palindromic in base 7

As an angle

13,704° = 38 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγψδʹ
Mayan (base 20): 𝋡·𝋮·𝋥·𝋤
Chinese: 一萬三千七百零四
Chinese (financial): 壹萬參仟柒佰零肆

In other modern scripts

Eastern Arabic ١٣٧٠٤ Devanagari १३७०४ Bengali ১৩৭০৪ Tamil ௧௩௭௦௪ Thai ๑๓๗๐๔ Tibetan ༡༣༧༠༤ Khmer ១៣៧០៤ Lao ໑໓໗໐໔ Burmese ၁၃၇၀၄

Digit at this position in famous constants

π — Pi (π): Digit 13,704 = 0
e — Euler's number (e): Digit 13,704 = 7
φ — Golden ratio (φ): Digit 13,704 = 6
√2 — Pythagoras's (√2): Digit 13,704 = 9
ln 2 — Natural log of 2: Digit 13,704 = 7
γ — Euler-Mascheroni (γ): Digit 13,704 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13704, here are decompositions:

7 + 13697 = 13704
11 + 13693 = 13704
13 + 13691 = 13704
17 + 13687 = 13704
23 + 13681 = 13704
71 + 13633 = 13704
107 + 13597 = 13704
113 + 13591 = 13704

Showing the first eight; more decompositions exist.

Unicode codepoint

㖈

CJK Unified Ideograph-3588

U+3588

Other letter (Lo)

UTF-8 encoding: E3 96 88 (3 bytes).

Lookup U+3588 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003588

RGB(0, 53, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.136.

Address: 0.0.53.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.136

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

Musical pitch

Heard as a frequency, 13,704 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -47¢ — about midway to G♯9)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -9¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -46¢ — about midway to A9)

Position in π

The digit sequence 13704 first appears in π at position 455,562 of the decimal expansion (the 455,562ordinal-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 13704 on Pi Search ↗