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133,718

133,718 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.).

133,718 (one hundred thirty-three thousand seven hundred eighteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 37 × 139. Written other ways, in hexadecimal, 0x20A56.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
817,331
Square (n²)
17,880,503,524
Cube (n³)
2,390,945,170,222,232
Divisor count
16
σ(n) — sum of divisors
223,440
φ(n) — Euler's totient
59,616
Sum of prime factors
191

Primality

Prime factorization: 2 × 13 × 37 × 139

Nearest primes: 133,717 (−1) · 133,723 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 37 · 74 · 139 · 278 · 481 · 962 · 1807 · 3614 · 5143 · 10286 · 66859 (half) · 133718
Aliquot sum (sum of proper divisors): 89,722
Factor pairs (a × b = 133,718)
1 × 133718
2 × 66859
13 × 10286
26 × 5143
37 × 3614
74 × 1807
139 × 962
278 × 481
First multiples
133,718 · 267,436 (double) · 401,154 · 534,872 · 668,590 · 802,308 · 936,026 · 1,069,744 · 1,203,462 · 1,337,180

Sums & aliquot sequence

As consecutive integers: 33,428 + 33,429 + 33,430 + 33,431 10,280 + 10,281 + … + 10,292 3,596 + 3,597 + … + 3,632 2,546 + 2,547 + … + 2,597
Aliquot sequence: 133,718 89,722 46,394 23,200 35,390 28,330 22,682 14,470 11,594 9,142 6,554 3,706 2,234 1,120 1,904 2,560 3,578 — unresolved within range

Continued fraction of √n

√133,718 = [365; (1, 2, 13, 2, 6, 1, 3, 6, 1, 1, 2, 1, 3, 2, 1, 1, 4, 14, 1, 2, 2, 2, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred eighteen
Ordinal
133718th
Binary
100000101001010110
Octal
405126
Hexadecimal
0x20A56
Base64
AgpW
One's complement
4,294,833,577 (32-bit)
Scientific notation
1.33718 × 10⁵
As a duration
133,718 s = 1 day, 13 hours, 8 minutes, 38 seconds
In other bases
ternary (3) 20210102112
quaternary (4) 200221112
quinary (5) 13234333
senary (6) 2511022
septenary (7) 1064564
nonary (9) 223375
undecimal (11) 91512
duodecimal (12) 65472
tridecimal (13) 48b30
tetradecimal (14) 36a34
pentadecimal (15) 29948

As an angle

133,718° = 371 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψιηʹ
Mayan (base 20)
𝋰·𝋮·𝋥·𝋲
Chinese
一十三萬三千七百一十八
Chinese (financial)
壹拾參萬參仟柒佰壹拾捌
In other modern scripts
Eastern Arabic ١٣٣٧١٨ Devanagari १३३७१८ Bengali ১৩৩৭১৮ Tamil ௧௩௩௭௧௮ Thai ๑๓๓๗๑๘ Tibetan ༡༣༣༧༡༨ Khmer ១៣៣៧១៨ Lao ໑໓໓໗໑໘ Burmese ၁၃၃၇၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133718, here are decompositions:

  • 7 + 133711 = 133718
  • 61 + 133657 = 133718
  • 199 + 133519 = 133718
  • 271 + 133447 = 133718
  • 331 + 133387 = 133718
  • 367 + 133351 = 133718
  • 397 + 133321 = 133718
  • 439 + 133279 = 133718

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩖
CJK Unified Ideograph-20A56
U+20A56
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 96 (4 bytes).

Hex color
#020A56
RGB(2, 10, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.86.

Address
0.2.10.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.86

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 133,718 and was likely granted around 1872.

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

Position in π

The digit sequence 133718 first appears in π at position 959,172 of the decimal expansion (the 959,172ordinal-suffix:nd 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

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