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133,315

133,315 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.).

133,315 (one hundred thirty-three thousand three hundred fifteen) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 5 × 7 × 13 × 293. Written other ways, in hexadecimal, 0x208C3.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
135
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
513,331
Recamán's sequence
a(35,290) = 133,315
Square (n²)
17,772,889,225
Cube (n³)
2,369,392,727,030,875
Divisor count
16
σ(n) — sum of divisors
197,568
φ(n) — Euler's totient
84,096
Sum of prime factors
318

Primality

Prime factorization: 5 × 7 × 13 × 293

Nearest primes: 133,303 (−12) · 133,319 (+4)

Divisors & multiples

All divisors (16)
1 · 5 · 7 · 13 · 35 · 65 · 91 · 293 · 455 · 1465 · 2051 · 3809 · 10255 · 19045 · 26663 · 133315
Aliquot sum (sum of proper divisors): 64,253
Factor pairs (a × b = 133,315)
1 × 133315
5 × 26663
7 × 19045
13 × 10255
35 × 3809
65 × 2051
91 × 1465
293 × 455
First multiples
133,315 · 266,630 (double) · 399,945 · 533,260 · 666,575 · 799,890 · 933,205 · 1,066,520 · 1,199,835 · 1,333,150

Sums & aliquot sequence

As consecutive integers: 66,657 + 66,658 26,661 + 26,662 + 26,663 + 26,664 + 26,665 19,042 + 19,043 + … + 19,048 13,327 + 13,328 + … + 13,336
Aliquot sequence: 133,315 64,253 10,819 381 131 1 0 — terminates at zero

Continued fraction of √n

√133,315 = [365; (8, 8, 1, 8, 8, 730)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred fifteen
Ordinal
133315th
Binary
100000100011000011
Octal
404303
Hexadecimal
0x208C3
Base64
AgjD
One's complement
4,294,833,980 (32-bit)
Scientific notation
1.33315 × 10⁵
As a duration
133,315 s = 1 day, 13 hours, 1 minute, 55 seconds
In other bases
ternary (3) 20202212121
quaternary (4) 200203003
quinary (5) 13231230
senary (6) 2505111
septenary (7) 1063450
nonary (9) 222777
undecimal (11) 91186
duodecimal (12) 65197
tridecimal (13) 488b0
tetradecimal (14) 36827
pentadecimal (15) 2977a

As an angle

133,315° = 370 × 360° + 115°
115° ≈ 2.007 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτιεʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋯
Chinese
一十三萬三千三百一十五
Chinese (financial)
壹拾參萬參仟參佰壹拾伍
In other modern scripts
Eastern Arabic ١٣٣٣١٥ Devanagari १३३३१५ Bengali ১৩৩৩১৫ Tamil ௧௩௩௩௧௫ Thai ๑๓๓๓๑๕ Tibetan ༡༣༣༣༡༥ Khmer ១៣៣៣១៥ Lao ໑໓໓໓໑໕ Burmese ၁၃၃၃၁၅

Also seen as

Unicode codepoint
𠣃
CJK Unified Ideograph-208C3
U+208C3
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 83 (4 bytes).

Hex color
#0208C3
RGB(2, 8, 195)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.195.

Address
0.2.8.195
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.195

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 133,315 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 133315 first appears in π at position 860,971 of the decimal expansion (the 860,971ordinal-suffix:st 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