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13,248

13,248 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.).
Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
84,231
Recamán's sequence
a(47,779) = 13,248
Square (n²)
175,509,504
Cube (n³)
2,325,149,908,992
Divisor count
42
σ(n) — sum of divisors
39,624
φ(n) — Euler's totient
4,224
Sum of prime factors
41

Primality

Prime factorization: 2 6 × 3 2 × 23

Nearest primes: 13,241 (−7) · 13,249 (+1)

Divisors & multiples

All divisors (42)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 23 · 24 · 32 · 36 · 46 · 48 · 64 · 69 · 72 · 92 · 96 · 138 · 144 · 184 · 192 · 207 · 276 · 288 · 368 · 414 · 552 · 576 · 736 · 828 · 1104 · 1472 · 1656 · 2208 · 3312 · 4416 · 6624 (half) · 13248
Aliquot sum (sum of proper divisors): 26,376
Factor pairs (a × b = 13,248)
1 × 13248
2 × 6624
3 × 4416
4 × 3312
6 × 2208
8 × 1656
9 × 1472
12 × 1104
16 × 828
18 × 736
23 × 576
24 × 552
32 × 414
36 × 368
46 × 288
48 × 276
64 × 207
69 × 192
72 × 184
92 × 144
96 × 138
First multiples
13,248 · 26,496 (double) · 39,744 · 52,992 · 66,240 · 79,488 · 92,736 · 105,984 · 119,232 · 132,480

Sums & aliquot sequence

As consecutive integers: 4,415 + 4,416 + 4,417 1,468 + 1,469 + … + 1,476 565 + 566 + … + 587 158 + 159 + … + 226
Aliquot sequence: 13,248 26,376 49,464 88,536 187,944 295,896 443,904 812,340 1,652,304 2,767,056 4,803,888 7,914,048 13,495,104 30,725,280 79,741,440 196,505,388 300,216,656 — unresolved within range

Representations

In words
thirteen thousand two hundred forty-eight
Ordinal
13248th
Binary
11001111000000
Octal
31700
Hexadecimal
0x33C0
Base64
M8A=
One's complement
52,287 (16-bit)
In other bases
ternary (3) 200011200
quaternary (4) 3033000
quinary (5) 410443
senary (6) 141200
septenary (7) 53424
nonary (9) 20150
undecimal (11) 9a54
duodecimal (12) 7800
tridecimal (13) 6051
tetradecimal (14) 4b84
pentadecimal (15) 3dd3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσμηʹ
Mayan (base 20)
𝋡·𝋭·𝋢·𝋨
Chinese
一萬三千二百四十八
Chinese (financial)
壹萬參仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٢٤٨ Devanagari १३२४८ Bengali ১৩২৪৮ Tamil ௧௩௨௪௮ Thai ๑๓๒๔๘ Tibetan ༡༣༢༤༨ Khmer ១៣២៤៨ Lao ໑໓໒໔໘ Burmese ၁၃၂၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,248 = 9
e — Euler's number (e)
Digit 13,248 = 1
φ — Golden ratio (φ)
Digit 13,248 = 4
√2 — Pythagoras's (√2)
Digit 13,248 = 7
ln 2 — Natural log of 2
Digit 13,248 = 8
γ — Euler-Mascheroni (γ)
Digit 13,248 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13248, here are decompositions:

  • 7 + 13241 = 13248
  • 19 + 13229 = 13248
  • 29 + 13219 = 13248
  • 31 + 13217 = 13248
  • 61 + 13187 = 13248
  • 71 + 13177 = 13248
  • 89 + 13159 = 13248
  • 97 + 13151 = 13248

Showing the first eight; more decompositions exist.

Unicode codepoint
Square K Ohm
U+33C0
Other symbol (So)

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

Hex color
#0033C0
RGB(0, 51, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.192.

Address
0.0.51.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.192

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

Position in π

The digit sequence 13248 first appears in π at position 92,526 of the decimal expansion (the 92,526ordinal-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.