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13,707

13,707 is a composite number, odd.

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.).

13,707 (thirteen thousand seven hundred seven) is an odd 5-digit number. It is a composite number with 6 divisors, and factors as 3² × 1,523. Written other ways, in hexadecimal, 0x358B.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
70,731
Recamán's sequence
a(91,230) = 13,707
Square (n²)
187,881,849
Cube (n³)
2,575,296,504,243
Divisor count
6
σ(n) — sum of divisors
19,812
φ(n) — Euler's totient
9,132
Sum of prime factors
1,529

Primality

Prime factorization: 3 2 × 1523

Nearest primes: 13,697 (−10) · 13,709 (+2)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 1523 · 4569 · 13707
Aliquot sum (sum of proper divisors): 6,105
Factor pairs (a × b = 13,707)
1 × 13707
3 × 4569
9 × 1523
First multiples
13,707 · 27,414 (double) · 41,121 · 54,828 · 68,535 · 82,242 · 95,949 · 109,656 · 123,363 · 137,070

Sums & aliquot sequence

As consecutive integers: 6,853 + 6,854 4,568 + 4,569 + 4,570 2,282 + 2,283 + 2,284 + 2,285 + 2,286 + 2,287 1,519 + 1,520 + … + 1,527
Aliquot sequence: 13,707 6,105 4,839 1,617 1,119 377 43 1 0 — terminates at zero

Continued fraction of √n

√13,707 = [117; (13, 234)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand seven hundred seven
Ordinal
13707th
Binary
11010110001011
Octal
32613
Hexadecimal
0x358B
Base64
NYs=
One's complement
51,828 (16-bit)
Scientific notation
1.3707 × 10⁴
As a duration
13,707 s = 3 hours, 48 minutes, 27 seconds
In other bases
ternary (3) 200210200
quaternary (4) 3112023
quinary (5) 414312
senary (6) 143243
septenary (7) 54651
nonary (9) 20720
undecimal (11) a331
duodecimal (12) 7b23
tridecimal (13) 6315
tetradecimal (14) 4dd1
pentadecimal (15) 40dc

As an angle

13,707° = 38 × 360° + 27°
27° ≈ 0.471 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψζʹ
Mayan (base 20)
𝋡·𝋮·𝋥·𝋧
Chinese
一萬三千七百零七
Chinese (financial)
壹萬參仟柒佰零柒
In other modern scripts
Eastern Arabic ١٣٧٠٧ Devanagari १३७०७ Bengali ১৩৭০৭ Tamil ௧௩௭௦௭ Thai ๑๓๗๐๗ Tibetan ༡༣༧༠༧ Khmer ១៣៧០៧ Lao ໑໓໗໐໗ Burmese ၁၃၇၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,707 = 0
e — Euler's number (e)
Digit 13,707 = 4
φ — Golden ratio (φ)
Digit 13,707 = 0
√2 — Pythagoras's (√2)
Digit 13,707 = 3
ln 2 — Natural log of 2
Digit 13,707 = 7
γ — Euler-Mascheroni (γ)
Digit 13,707 = 6

Also seen as

Unicode codepoint
CJK Unified Ideograph-358B
U+358B
Other letter (Lo)

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

Hex color
#00358B
RGB(0, 53, 139)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.139.

Address
0.0.53.139
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.139

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

Musical pitch

Heard as a frequency, 13,707 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -46¢ — 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, -45¢ — about midway to A9)
Position in π

The digit sequence 13707 first appears in π at position 52,872 of the decimal expansion (the 52,872ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.