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13,748

13,748 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 Arithmetic Number Evil Number Happy Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
84,731
Recamán's sequence
a(21,220) = 13,748
Square (n²)
189,007,504
Cube (n³)
2,598,475,164,992
Divisor count
12
σ(n) — sum of divisors
27,552
φ(n) — Euler's totient
5,880
Sum of prime factors
502

Primality

Prime factorization: 2 2 × 7 × 491

Nearest primes: 13,729 (−19) · 13,751 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 491 · 982 · 1964 · 3437 · 6874 (half) · 13748
Aliquot sum (sum of proper divisors): 13,804
Factor pairs (a × b = 13,748)
1 × 13748
2 × 6874
4 × 3437
7 × 1964
14 × 982
28 × 491
First multiples
13,748 · 27,496 (double) · 41,244 · 54,992 · 68,740 · 82,488 · 96,236 · 109,984 · 123,732 · 137,480

Sums & aliquot sequence

As consecutive integers: 1,961 + 1,962 + … + 1,967 1,715 + 1,716 + … + 1,722 218 + 219 + … + 273
Aliquot sequence: 13,748 13,804 16,436 16,492 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 9,371,436 12,495,276 20,190,804 26,921,100 — unresolved within range

Representations

In words
thirteen thousand seven hundred forty-eight
Ordinal
13748th
Binary
11010110110100
Octal
32664
Hexadecimal
0x35B4
Base64
NbQ=
One's complement
51,787 (16-bit)
In other bases
ternary (3) 200212012
quaternary (4) 3112310
quinary (5) 414443
senary (6) 143352
septenary (7) 55040
nonary (9) 20765
undecimal (11) a369
duodecimal (12) 7b58
tridecimal (13) 6347
tetradecimal (14) 5020
pentadecimal (15) 4118

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψμηʹ
Mayan (base 20)
𝋡·𝋮·𝋧·𝋨
Chinese
一萬三千七百四十八
Chinese (financial)
壹萬參仟柒佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٧٤٨ Devanagari १३७४८ Bengali ১৩৭৪৮ Tamil ௧௩௭௪௮ Thai ๑๓๗๔๘ Tibetan ༡༣༧༤༨ Khmer ១៣៧៤៨ Lao ໑໓໗໔໘ Burmese ၁၃၇၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,748 = 1
e — Euler's number (e)
Digit 13,748 = 4
φ — Golden ratio (φ)
Digit 13,748 = 7
√2 — Pythagoras's (√2)
Digit 13,748 = 8
ln 2 — Natural log of 2
Digit 13,748 = 5
γ — Euler-Mascheroni (γ)
Digit 13,748 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13748, here are decompositions:

  • 19 + 13729 = 13748
  • 37 + 13711 = 13748
  • 61 + 13687 = 13748
  • 67 + 13681 = 13748
  • 79 + 13669 = 13748
  • 151 + 13597 = 13748
  • 157 + 13591 = 13748
  • 181 + 13567 = 13748

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35B4
U+35B4
Other letter (Lo)

UTF-8 encoding: E3 96 B4 (3 bytes).

Hex color
#0035B4
RGB(0, 53, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.180.

Address
0.0.53.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.180

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

Position in π

The digit sequence 13748 first appears in π at position 126,823 of the decimal expansion (the 126,823ordinal-suffix:rd 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.