number.wiki
Live analysis

133,713

133,713 is a composite number, odd.

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.).

133,713 (one hundred thirty-three thousand seven hundred thirteen) is an odd 6-digit number. It is a composite number with 12 divisors, and factors as 3² × 83 × 179. Written other ways, in hexadecimal, 0x20A51.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
189
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
317,331
Square (n²)
17,879,166,369
Cube (n³)
2,390,676,972,698,097
Divisor count
12
σ(n) — sum of divisors
196,560
φ(n) — Euler's totient
87,576
Sum of prime factors
268

Primality

Prime factorization: 3 2 × 83 × 179

Nearest primes: 133,711 (−2) · 133,717 (+4)

Divisors & multiples

All divisors (12)
1 · 3 · 9 · 83 · 179 · 249 · 537 · 747 · 1611 · 14857 · 44571 · 133713
Aliquot sum (sum of proper divisors): 62,847
Factor pairs (a × b = 133,713)
1 × 133713
3 × 44571
9 × 14857
83 × 1611
179 × 747
249 × 537
First multiples
133,713 · 267,426 (double) · 401,139 · 534,852 · 668,565 · 802,278 · 935,991 · 1,069,704 · 1,203,417 · 1,337,130

Sums & aliquot sequence

As consecutive integers: 66,856 + 66,857 44,570 + 44,571 + 44,572 22,283 + 22,284 + 22,285 + 22,286 + 22,287 + 22,288 14,853 + 14,854 + … + 14,861
Aliquot sequence: 133,713 62,847 27,945 24,471 10,889 1 0 — terminates at zero

Continued fraction of √n

√133,713 = [365; (1, 2, 91, 11, 1, 44, 1, 3, 1, 4, 22, 1, 1, 1, 4, 1, 2, 11, 13, 1, 2, 2, 5, 3, …)]

Representations

In words
one hundred thirty-three thousand seven hundred thirteen
Ordinal
133713th
Binary
100000101001010001
Octal
405121
Hexadecimal
0x20A51
Base64
AgpR
One's complement
4,294,833,582 (32-bit)
Scientific notation
1.33713 × 10⁵
As a duration
133,713 s = 1 day, 13 hours, 8 minutes, 33 seconds
In other bases
ternary (3) 20210102100
quaternary (4) 200221101
quinary (5) 13234323
senary (6) 2511013
septenary (7) 1064556
nonary (9) 223370
undecimal (11) 91508
duodecimal (12) 65469
tridecimal (13) 48b28
tetradecimal (14) 36a2d
pentadecimal (15) 29943

As an angle

133,713° = 371 × 360° + 153°
153° ≈ 2.67 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψιγʹ
Mayan (base 20)
𝋰·𝋮·𝋥·𝋭
Chinese
一十三萬三千七百一十三
Chinese (financial)
壹拾參萬參仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٣٣٧١٣ Devanagari १३३७१३ Bengali ১৩৩৭১৩ Tamil ௧௩௩௭௧௩ Thai ๑๓๓๗๑๓ Tibetan ༡༣༣༧༡༣ Khmer ១៣៣៧១៣ Lao ໑໓໓໗໑໓ Burmese ၁၃၃၇၁၃

Also seen as

Unicode codepoint
𠩑
CJK Unified Ideograph-20A51
U+20A51
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 91 (4 bytes).

Hex color
#020A51
RGB(2, 10, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.81.

Address
0.2.10.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.81

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 133,713 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 133713 first appears in π at position 915,777 of the decimal expansion (the 915,777ordinal-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°.