Live analysis

13,950

13,950 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.).

13,950 (thirteen thousand nine hundred fifty) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 5² × 31. Its proper divisors sum to 24,738, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x367E.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Heptagonal Pentagonal Pyramidal Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

13,938 13,939 13,940 13,941 13,942 13,943 13,944 13,945 13,946 13,947 13,948 13,949 13,950 13,951 13,952 13,953 13,954 13,955 13,956 13,957 13,958 13,959 13,960 13,961 13,962

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Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 5,931
Recamán's sequence: a(20,816) = 13,950
Square (n²): 194,602,500
Cube (n³): 2,714,704,875,000
Divisor count: 36
σ(n) — sum of divisors: 38,688
φ(n) — Euler's totient: 3,600
Sum of prime factors: 49

Primality

Prime factorization: 2 × 3 ² × 5 ² × 31

Nearest primes: 13,933 (−17) · 13,963 (+13)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 25 · 30 · 31 · 45 · 50 · 62 · 75 · 90 · 93 · 150 · 155 · 186 · 225 · 279 · 310 · 450 · 465 · 558 · 775 · 930 · 1395 · 1550 · 2325 · 2790 · 4650 · 6975 (half) · 13950

Aliquot sum (sum of proper divisors): 24,738

Factor pairs (a × b = 13,950)

1 × 13950

2 × 6975

3 × 4650

5 × 2790

6 × 2325

9 × 1550

10 × 1395

15 × 930

18 × 775

25 × 558

30 × 465

31 × 450

45 × 310

50 × 279

62 × 225

75 × 186

90 × 155

93 × 150

First multiples

13,950 · 27,900 (double) · 41,850 · 55,800 · 69,750 · 83,700 · 97,650 · 111,600 · 125,550 · 139,500

Sums & aliquot sequence

As consecutive integers: 4,649 + 4,650 + 4,651 3,486 + 3,487 + 3,488 + 3,489 2,788 + 2,789 + 2,790 + 2,791 + 2,792 1,546 + 1,547 + … + 1,554

Aliquot sequence: 13,950 → 24,738 → 36,702 → 42,858 → 50,040 → 113,760 → 279,360 → 691,428 → 936,604 → 742,724 → 557,050 → 560,066 → 350,176 → 363,488 → 373,864 → 368,636 → 281,692 — unresolved within range

Continued fraction of √n

√13,950 = [118; (9, 12, 3, 9, 8, 26, 8, 9, 3, 12, 9, 236)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand nine hundred fifty
Ordinal: 13950th
Binary: 11011001111110
Octal: 33176
Hexadecimal: 0x367E
Base64: Nn4=
One's complement: 51,585 (16-bit)
Scientific notation: 1.395 × 10⁴
As a duration: 13,950 s = 3 hours, 52 minutes, 30 seconds

In other bases

ternary (3) 201010200

quaternary (4) 3121332

quinary (5) 421300

senary (6) 144330

septenary (7) 55446

nonary (9) 21120

undecimal (11) a532

duodecimal (12) 80a6

tridecimal (13) 6471

tetradecimal (14) 5126

pentadecimal (15) 4200

As an angle

13,950° = 38 × 360° + 270°

270° ≈ 4.712 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ιγϡνʹ
Mayan (base 20): 𝋡·𝋮·𝋱·𝋪
Chinese: 一萬三千九百五十
Chinese (financial): 壹萬參仟玖佰伍拾

In other modern scripts

Eastern Arabic ١٣٩٥٠ Devanagari १३९५० Bengali ১৩৯৫০ Tamil ௧௩௯௫௦ Thai ๑๓๙๕๐ Tibetan ༡༣༩༥༠ Khmer ១៣៩៥០ Lao ໑໓໙໕໐ Burmese ၁၃၉၅၀

Digit at this position in famous constants

π — Pi (π): Digit 13,950 = 6
e — Euler's number (e): Digit 13,950 = 4
φ — Golden ratio (φ): Digit 13,950 = 2
√2 — Pythagoras's (√2): Digit 13,950 = 6
ln 2 — Natural log of 2: Digit 13,950 = 9
γ — Euler-Mascheroni (γ): Digit 13,950 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13950, here are decompositions:

17 + 13933 = 13950
19 + 13931 = 13950
29 + 13921 = 13950
37 + 13913 = 13950
43 + 13907 = 13950
47 + 13903 = 13950
67 + 13883 = 13950
71 + 13879 = 13950

Showing the first eight; more decompositions exist.

Unicode codepoint

㙾

CJK Unified Ideograph-367E

U+367E

Other letter (Lo)

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

Lookup U+367E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00367E

RGB(0, 54, 126)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.126.

Address: 0.0.54.126
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.126

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

Musical pitch

Heard as a frequency, 13,950 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -16¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +22¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -15¢)

Position in π

The digit sequence 13950 first appears in π at position 100,681 of the decimal expansion (the 100,681ordinal-suffix:st 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 13950 on Pi Search ↗