number.wiki
Live analysis

133,716

133,716 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.).

133,716 (one hundred thirty-three thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 1,013. Its proper divisors sum to 206,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A54.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
378
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
617,331
Square (n²)
17,879,968,656
Cube (n³)
2,390,837,888,805,696
Divisor count
24
σ(n) — sum of divisors
340,704
φ(n) — Euler's totient
40,480
Sum of prime factors
1,031

Primality

Prime factorization: 2 2 × 3 × 11 × 1013

Nearest primes: 133,711 (−5) · 133,717 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 1013 · 2026 · 3039 · 4052 · 6078 · 11143 · 12156 · 22286 · 33429 · 44572 · 66858 (half) · 133716
Aliquot sum (sum of proper divisors): 206,988
Factor pairs (a × b = 133,716)
1 × 133716
2 × 66858
3 × 44572
4 × 33429
6 × 22286
11 × 12156
12 × 11143
22 × 6078
33 × 4052
44 × 3039
66 × 2026
132 × 1013
First multiples
133,716 · 267,432 (double) · 401,148 · 534,864 · 668,580 · 802,296 · 936,012 · 1,069,728 · 1,203,444 · 1,337,160

Sums & aliquot sequence

As consecutive integers: 44,571 + 44,572 + 44,573 16,711 + 16,712 + … + 16,718 12,151 + 12,152 + … + 12,161 5,560 + 5,561 + … + 5,583
Aliquot sequence: 133,716 206,988 287,604 458,316 742,884 1,047,324 1,396,460 1,863,412 1,412,784 2,541,452 1,906,096 1,786,996 1,357,964 1,018,480 1,436,720 1,903,840 2,683,568 — unresolved within range

Continued fraction of √n

√133,716 = [365; (1, 2, 20, 1, 1, 3, 1, 1, 8, 4, 66, 4, 8, 1, 1, 3, 1, 1, 20, 2, 1, 730)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred sixteen
Ordinal
133716th
Binary
100000101001010100
Octal
405124
Hexadecimal
0x20A54
Base64
AgpU
One's complement
4,294,833,579 (32-bit)
Scientific notation
1.33716 × 10⁵
As a duration
133,716 s = 1 day, 13 hours, 8 minutes, 36 seconds
In other bases
ternary (3) 20210102110
quaternary (4) 200221110
quinary (5) 13234331
senary (6) 2511020
septenary (7) 1064562
nonary (9) 223373
undecimal (11) 91510
duodecimal (12) 65470
tridecimal (13) 48b2b
tetradecimal (14) 36a32
pentadecimal (15) 29946

As an angle

133,716° = 371 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψιϛʹ
Mayan (base 20)
𝋰·𝋮·𝋥·𝋰
Chinese
一十三萬三千七百一十六
Chinese (financial)
壹拾參萬參仟柒佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٣٧١٦ Devanagari १३३७१६ Bengali ১৩৩৭১৬ Tamil ௧௩௩௭௧௬ Thai ๑๓๓๗๑๖ Tibetan ༡༣༣༧༡༦ Khmer ១៣៣៧១៦ Lao ໑໓໓໗໑໖ Burmese ၁၃၃၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133716, here are decompositions:

  • 5 + 133711 = 133716
  • 7 + 133709 = 133716
  • 19 + 133697 = 133716
  • 43 + 133673 = 133716
  • 47 + 133669 = 133716
  • 59 + 133657 = 133716
  • 67 + 133649 = 133716
  • 83 + 133633 = 133716

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩔
CJK Unified Ideograph-20A54
U+20A54
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 94 (4 bytes).

Hex color
#020A54
RGB(2, 10, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.84.

Address
0.2.10.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.84

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 133,716 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 133716 first appears in π at position 755,039 of the decimal expansion (the 755,039ordinal-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°.