Live analysis

13,700

13,700 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.).

13,700 (thirteen thousand seven hundred) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 137. Its proper divisors sum to 16,246, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3584.

Abundant Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,688 13,689 13,690 13,691 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

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 731
Recamán's sequence: a(91,244) = 13,700
Square (n²): 187,690,000
Cube (n³): 2,571,353,000,000
Divisor count: 18
σ(n) — sum of divisors: 29,946
φ(n) — Euler's totient: 5,440
Sum of prime factors: 151

Primality

Prime factorization: 2 ² × 5 ² × 137

Nearest primes: 13,697 (−3) · 13,709 (+9)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 137 · 274 · 548 · 685 · 1370 · 2740 · 3425 · 6850 (half) · 13700

Aliquot sum (sum of proper divisors): 16,246

Factor pairs (a × b = 13,700)

1 × 13700

2 × 6850

4 × 3425

5 × 2740

10 × 1370

20 × 685

25 × 548

50 × 274

100 × 137

First multiples

13,700 · 27,400 (double) · 41,100 · 54,800 · 68,500 · 82,200 · 95,900 · 109,600 · 123,300 · 137,000

Sums & aliquot sequence

As a sum of two squares: 34² + 112² = 40² + 110² = 64² + 98²

As consecutive integers: 2,738 + 2,739 + 2,740 + 2,741 + 2,742 1,709 + 1,710 + … + 1,716 536 + 537 + … + 560 323 + 324 + … + 362

Aliquot sequence: 13,700 → 16,246 → 8,126 → 4,834 → 2,420 → 3,166 → 1,586 → 1,018 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,700 = [117; (21, 3, 1, 1, 1, 1, 3, 2, 1, 4, 12, 9, 3, 1, 1, 4, 1, 3, 58, 3, 1, 4, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand seven hundred
Ordinal: 13700th
Binary: 11010110000100
Octal: 32604
Hexadecimal: 0x3584
Base64: NYQ=
One's complement: 51,835 (16-bit)
Scientific notation: 1.37 × 10⁴
As a duration: 13,700 s = 3 hours, 48 minutes, 20 seconds

In other bases

ternary (3) 200210102

quaternary (4) 3112010

quinary (5) 414300

senary (6) 143232

septenary (7) 54641

nonary (9) 20712

undecimal (11) a325

duodecimal (12) 7b18

tridecimal (13) 630b

tetradecimal (14) 4dc8

pentadecimal (15) 40d5

As an angle

13,700° = 38 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ιγψʹ
Mayan (base 20): 𝋡·𝋮·𝋥·𝋠
Chinese: 一萬三千七百
Chinese (financial): 壹萬參仟柒佰

In other modern scripts

Eastern Arabic ١٣٧٠٠ Devanagari १३७०० Bengali ১৩৭০০ Tamil ௧௩௭௦௦ Thai ๑๓๗๐๐ Tibetan ༡༣༧༠༠ Khmer ១៣៧០០ Lao ໑໓໗໐໐ Burmese ၁၃၇၀၀

Digit at this position in famous constants

π — Pi (π): Digit 13,700 = 9
e — Euler's number (e): Digit 13,700 = 7
φ — Golden ratio (φ): Digit 13,700 = 2
√2 — Pythagoras's (√2): Digit 13,700 = 4
ln 2 — Natural log of 2: Digit 13,700 = 2
γ — Euler-Mascheroni (γ): Digit 13,700 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13700, here are decompositions:

3 + 13697 = 13700
7 + 13693 = 13700
13 + 13687 = 13700
19 + 13681 = 13700
31 + 13669 = 13700
67 + 13633 = 13700
73 + 13627 = 13700
103 + 13597 = 13700

Showing the first eight; more decompositions exist.

Unicode codepoint

㖄

CJK Unified Ideograph-3584

U+3584

Other letter (Lo)

UTF-8 encoding: E3 96 84 (3 bytes).

Lookup U+3584 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003584

RGB(0, 53, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.132.

Address: 0.0.53.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.132

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

Musical pitch

Heard as a frequency, 13,700 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, -10¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -46¢ — about midway to A9)

Position in π

The digit sequence 13700 first appears in π at position 178,990 of the decimal expansion (the 178,990ordinal-suffix:th 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 13700 on Pi Search ↗