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133,965

133,965 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.).

133,965 (one hundred thirty-three thousand nine hundred sixty-five) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 5 × 13 × 229. Written other ways, in hexadecimal, 0x20B4D.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
2,430
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
569,331
Square (n²)
17,946,621,225
Cube (n³)
2,404,219,112,407,125
Divisor count
24
σ(n) — sum of divisors
251,160
φ(n) — Euler's totient
65,664
Sum of prime factors
253

Primality

Prime factorization: 3 2 × 5 × 13 × 229

Nearest primes: 133,963 (−2) · 133,967 (+2)

Divisors & multiples

All divisors (24)
1 · 3 · 5 · 9 · 13 · 15 · 39 · 45 · 65 · 117 · 195 · 229 · 585 · 687 · 1145 · 2061 · 2977 · 3435 · 8931 · 10305 · 14885 · 26793 · 44655 · 133965
Aliquot sum (sum of proper divisors): 117,195
Factor pairs (a × b = 133,965)
1 × 133965
3 × 44655
5 × 26793
9 × 14885
13 × 10305
15 × 8931
39 × 3435
45 × 2977
65 × 2061
117 × 1145
195 × 687
229 × 585
First multiples
133,965 · 267,930 (double) · 401,895 · 535,860 · 669,825 · 803,790 · 937,755 · 1,071,720 · 1,205,685 · 1,339,650

Sums & aliquot sequence

As a sum of two squares: 3² + 366² = 93² + 354² = 138² + 339² = 222² + 291²
As consecutive integers: 66,982 + 66,983 44,654 + 44,655 + 44,656 26,791 + 26,792 + 26,793 + 26,794 + 26,795 22,325 + 22,326 + 22,327 + 22,328 + 22,329 + 22,330
Aliquot sequence: 133,965 117,195 85,077 47,403 24,357 9,627 3,213 2,547 1,145 235 53 1 0 — terminates at zero

Continued fraction of √n

√133,965 = [366; (81, 2, 1, 80, 1, 2, 81, 732)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred sixty-five
Ordinal
133965th
Binary
100000101101001101
Octal
405515
Hexadecimal
0x20B4D
Base64
AgtN
One's complement
4,294,833,330 (32-bit)
Scientific notation
1.33965 × 10⁵
As a duration
133,965 s = 1 day, 13 hours, 12 minutes, 45 seconds
In other bases
ternary (3) 20210202200
quaternary (4) 200231031
quinary (5) 13241330
senary (6) 2512113
septenary (7) 1065366
nonary (9) 223680
undecimal (11) 91717
duodecimal (12) 65639
tridecimal (13) 48c90
tetradecimal (14) 36b6d
pentadecimal (15) 29a60

As an angle

133,965° = 372 × 360° + 45°
45° ≈ 0.785 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡξεʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋥
Chinese
一十三萬三千九百六十五
Chinese (financial)
壹拾參萬參仟玖佰陸拾伍
In other modern scripts
Eastern Arabic ١٣٣٩٦٥ Devanagari १३३९६५ Bengali ১৩৩৯৬৫ Tamil ௧௩௩௯௬௫ Thai ๑๓๓๙๖๕ Tibetan ༡༣༣༩༦༥ Khmer ១៣៣៩៦៥ Lao ໑໓໓໙໖໕ Burmese ၁၃၃၉၆၅

Also seen as

Unicode codepoint
𠭍
CJK Unified Ideograph-20B4D
U+20B4D
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 8D (4 bytes).

Hex color
#020B4D
RGB(2, 11, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.77.

Address
0.2.11.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.77

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 133,965 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 133965 first appears in π at position 273,672 of the decimal expansion (the 273,672ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.