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14,976

14,976 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.).

14,976 (fourteen thousand nine hundred seventy-six) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 3² × 13. Its proper divisors sum to 31,434, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3A80.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
1,512
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
67,941
Recamán's sequence
a(90,348) = 14,976
Square (n²)
224,280,576
Cube (n³)
3,358,825,906,176
Divisor count
48
σ(n) — sum of divisors
46,410
φ(n) — Euler's totient
4,608
Sum of prime factors
33

Primality

Prime factorization: 2 7 × 3 2 × 13

Nearest primes: 14,969 (−7) · 14,983 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 32 · 36 · 39 · 48 · 52 · 64 · 72 · 78 · 96 · 104 · 117 · 128 · 144 · 156 · 192 · 208 · 234 · 288 · 312 · 384 · 416 · 468 · 576 · 624 · 832 · 936 · 1152 · 1248 · 1664 · 1872 · 2496 · 3744 · 4992 · 7488 (half) · 14976
Aliquot sum (sum of proper divisors): 31,434
Factor pairs (a × b = 14,976)
1 × 14976
2 × 7488
3 × 4992
4 × 3744
6 × 2496
8 × 1872
9 × 1664
12 × 1248
13 × 1152
16 × 936
18 × 832
24 × 624
26 × 576
32 × 468
36 × 416
39 × 384
48 × 312
52 × 288
64 × 234
72 × 208
78 × 192
96 × 156
104 × 144
117 × 128
First multiples
14,976 · 29,952 (double) · 44,928 · 59,904 · 74,880 · 89,856 · 104,832 · 119,808 · 134,784 · 149,760

Sums & aliquot sequence

As a sum of two squares: 24² + 120²
As consecutive integers: 4,991 + 4,992 + 4,993 1,660 + 1,661 + … + 1,668 1,146 + 1,147 + … + 1,158 365 + 366 + … + 403
Aliquot sequence: 14,976 31,434 38,838 38,850 74,238 74,250 150,390 251,370 569,430 1,085,850 2,009,190 2,812,938 2,832,342 2,832,354 4,540,446 5,842,914 8,727,582 — unresolved within range

Continued fraction of √n

√14,976 = [122; (2, 1, 1, 1, 10, 61, 10, 1, 1, 1, 2, 244)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand nine hundred seventy-six
Ordinal
14976th
Binary
11101010000000
Octal
35200
Hexadecimal
0x3A80
Base64
OoA=
One's complement
50,559 (16-bit)
Scientific notation
1.4976 × 10⁴
As a duration
14,976 s = 4 hours, 9 minutes, 36 seconds
In other bases
ternary (3) 202112200
quaternary (4) 3222000
quinary (5) 434401
senary (6) 153200
septenary (7) 61443
nonary (9) 22480
undecimal (11) 10285
duodecimal (12) 8800
tridecimal (13) 6a80
tetradecimal (14) 565a
pentadecimal (15) 4686

As an angle

14,976° = 41 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδϡοϛʹ
Mayan (base 20)
𝋡·𝋱·𝋨·𝋰
Chinese
一萬四千九百七十六
Chinese (financial)
壹萬肆仟玖佰柒拾陸
In other modern scripts
Eastern Arabic ١٤٩٧٦ Devanagari १४९७६ Bengali ১৪৯৭৬ Tamil ௧௪௯௭௬ Thai ๑๔๙๗๖ Tibetan ༡༤༩༧༦ Khmer ១៤៩៧៦ Lao ໑໔໙໗໖ Burmese ၁၄၉၇၆

Digit at this position in famous constants

π — Pi (π)
Digit 14,976 = 8
e — Euler's number (e)
Digit 14,976 = 9
φ — Golden ratio (φ)
Digit 14,976 = 6
√2 — Pythagoras's (√2)
Digit 14,976 = 3
ln 2 — Natural log of 2
Digit 14,976 = 7
γ — Euler-Mascheroni (γ)
Digit 14,976 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14976, here are decompositions:

  • 7 + 14969 = 14976
  • 19 + 14957 = 14976
  • 29 + 14947 = 14976
  • 37 + 14939 = 14976
  • 47 + 14929 = 14976
  • 53 + 14923 = 14976
  • 79 + 14897 = 14976
  • 89 + 14887 = 14976

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3A80
U+3A80
Other letter (Lo)

UTF-8 encoding: E3 AA 80 (3 bytes).

Hex color
#003A80
RGB(0, 58, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.58.128.

Address
0.0.58.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.58.128

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

Musical pitch

Heard as a frequency, 14,976 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +7¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +44¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +8¢)
Position in π

The digit sequence 14976 first appears in π at position 18,311 of the decimal expansion (the 18,311ordinal-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.

Related reading

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