Live analysis

13,900

13,900 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.).

13,900 (thirteen thousand nine hundred) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 139. Its proper divisors sum to 16,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x364C.

Abundant Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,888 13,889 13,890 13,891 13,892 13,893 13,894 13,895 13,896 13,897 13,898 13,899 13,900 13,901 13,902 13,903 13,904 13,905 13,906 13,907 13,908 13,909 13,910 13,911 13,912

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 931
Recamán's sequence: a(20,916) = 13,900
Square (n²): 193,210,000
Cube (n³): 2,685,619,000,000
Divisor count: 18
σ(n) — sum of divisors: 30,380
φ(n) — Euler's totient: 5,520
Sum of prime factors: 153

Primality

Prime factorization: 2 ² × 5 ² × 139

Nearest primes: 13,883 (−17) · 13,901 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 139 · 278 · 556 · 695 · 1390 · 2780 · 3475 · 6950 (half) · 13900

Aliquot sum (sum of proper divisors): 16,480

Factor pairs (a × b = 13,900)

1 × 13900

2 × 6950

4 × 3475

5 × 2780

10 × 1390

20 × 695

25 × 556

50 × 278

100 × 139

First multiples

13,900 · 27,800 (double) · 41,700 · 55,600 · 69,500 · 83,400 · 97,300 · 111,200 · 125,100 · 139,000

Sums & aliquot sequence

As consecutive integers: 2,778 + 2,779 + 2,780 + 2,781 + 2,782 1,734 + 1,735 + … + 1,741 544 + 545 + … + 568 328 + 329 + … + 367

Aliquot sequence: 13,900 → 16,480 → 22,832 → 21,436 → 17,876 → 14,464 → 14,606 → 7,834 → 3,920 → 6,682 → 4,154 → 2,374 → 1,190 → 1,402 → 704 → 820 → 944 — unresolved within range

Continued fraction of √n

√13,900 = [117; (1, 8, 1, 4, 1, 5, 1, 2, 1, 1, 3, 2, 2, 1, 2, 2, 1, 1, 5, 2, 5, 1, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand nine hundred
Ordinal: 13900th
Binary: 11011001001100
Octal: 33114
Hexadecimal: 0x364C
Base64: Nkw=
One's complement: 51,635 (16-bit)
Scientific notation: 1.39 × 10⁴
As a duration: 13,900 s = 3 hours, 51 minutes, 40 seconds

In other bases

ternary (3) 201001211

quaternary (4) 3121030

quinary (5) 421100

senary (6) 144204

septenary (7) 55345

nonary (9) 21054

undecimal (11) a497

duodecimal (12) 8064

tridecimal (13) 6433

tetradecimal (14) 50cc

pentadecimal (15) 41ba

As an angle

13,900° = 38 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ιγϡʹ
Mayan (base 20): 𝋡·𝋮·𝋯·𝋠
Chinese: 一萬三千九百
Chinese (financial): 壹萬參仟玖佰

In other modern scripts

Eastern Arabic ١٣٩٠٠ Devanagari १३९०० Bengali ১৩৯০০ Tamil ௧௩௯௦௦ Thai ๑๓๙๐๐ Tibetan ༡༣༩༠༠ Khmer ១៣៩០០ Lao ໑໓໙໐໐ Burmese ၁၃၉၀၀

Digit at this position in famous constants

π — Pi (π): Digit 13,900 = 3
e — Euler's number (e): Digit 13,900 = 5
φ — Golden ratio (φ): Digit 13,900 = 6
√2 — Pythagoras's (√2): Digit 13,900 = 2
ln 2 — Natural log of 2: Digit 13,900 = 3
γ — Euler-Mascheroni (γ): Digit 13,900 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13900, here are decompositions:

17 + 13883 = 13900
23 + 13877 = 13900
41 + 13859 = 13900
59 + 13841 = 13900
71 + 13829 = 13900
101 + 13799 = 13900
137 + 13763 = 13900
149 + 13751 = 13900

Showing the first eight; more decompositions exist.

Unicode codepoint

㙌

CJK Unified Ideograph-364C

U+364C

Other letter (Lo)

UTF-8 encoding: E3 99 8C (3 bytes).

Lookup U+364C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00364C

RGB(0, 54, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.76.

Address: 0.0.54.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.76

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

Musical pitch

Heard as a frequency, 13,900 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -21¢)

Position in π

The digit sequence 13900 first appears in π at position 1,186 of the decimal expansion (the 1,186ordinal-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 13900 on Pi Search ↗