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133,748

133,748 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.).

133,748 (one hundred thirty-three thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 1,153. Written other ways, in hexadecimal, 0x20A74.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,016
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
847,331
Square (n²)
17,888,527,504
Cube (n³)
2,392,554,776,604,992
Divisor count
12
σ(n) — sum of divisors
242,340
φ(n) — Euler's totient
64,512
Sum of prime factors
1,186

Primality

Prime factorization: 2 2 × 29 × 1153

Nearest primes: 133,733 (−15) · 133,769 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 58 · 116 · 1153 · 2306 · 4612 · 33437 · 66874 (half) · 133748
Aliquot sum (sum of proper divisors): 108,592
Factor pairs (a × b = 133,748)
1 × 133748
2 × 66874
4 × 33437
29 × 4612
58 × 2306
116 × 1153
First multiples
133,748 · 267,496 (double) · 401,244 · 534,992 · 668,740 · 802,488 · 936,236 · 1,069,984 · 1,203,732 · 1,337,480

Sums & aliquot sequence

As a sum of two squares: 52² + 362² = 212² + 298²
As consecutive integers: 16,715 + 16,716 + … + 16,722 4,598 + 4,599 + … + 4,626 461 + 462 + … + 692
Aliquot sequence: 133,748 108,592 121,304 110,896 112,304 105,316 81,416 71,254 40,346 20,176 22,356 38,796 54,948 80,572 60,436 49,184 52,876 — unresolved within range

Continued fraction of √n

√133,748 = [365; (1, 2, 1, 1, 13, 2, 45, 4, 3, 3, 1, 2, 1, 2, 1, 44, 1, 55, 3, 2, 182, 2, 3, 55, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred forty-eight
Ordinal
133748th
Binary
100000101001110100
Octal
405164
Hexadecimal
0x20A74
Base64
Agp0
One's complement
4,294,833,547 (32-bit)
Scientific notation
1.33748 × 10⁵
As a duration
133,748 s = 1 day, 13 hours, 9 minutes, 8 seconds
In other bases
ternary (3) 20210110122
quaternary (4) 200221310
quinary (5) 13234443
senary (6) 2511112
septenary (7) 1064636
nonary (9) 223418
undecimal (11) 9153a
duodecimal (12) 65498
tridecimal (13) 48b54
tetradecimal (14) 36a56
pentadecimal (15) 29968

As an angle

133,748° = 371 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψμηʹ
Mayan (base 20)
𝋰·𝋮·𝋧·𝋨
Chinese
一十三萬三千七百四十八
Chinese (financial)
壹拾參萬參仟柒佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٣٧٤٨ Devanagari १३३७४८ Bengali ১৩৩৭৪৮ Tamil ௧௩௩௭௪௮ Thai ๑๓๓๗๔๘ Tibetan ༡༣༣༧༤༨ Khmer ១៣៣៧៤៨ Lao ໑໓໓໗໔໘ Burmese ၁၃၃၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133748, here are decompositions:

  • 31 + 133717 = 133748
  • 37 + 133711 = 133748
  • 79 + 133669 = 133748
  • 151 + 133597 = 133748
  • 229 + 133519 = 133748
  • 331 + 133417 = 133748
  • 397 + 133351 = 133748
  • 421 + 133327 = 133748

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩴
CJK Unified Ideograph-20A74
U+20A74
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 B4 (4 bytes).

Hex color
#020A74
RGB(2, 10, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.116.

Address
0.2.10.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.116

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,748 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.