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133,397

133,397 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.).

133,397 (one hundred thirty-three thousand three hundred ninety-seven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 11 × 67 × 181. Written other ways, in hexadecimal, 0x20915.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,701
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
793,331
Recamán's sequence
a(35,454) = 133,397
Square (n²)
17,794,759,609
Cube (n³)
2,373,767,547,561,773
Divisor count
8
σ(n) — sum of divisors
148,512
φ(n) — Euler's totient
118,800
Sum of prime factors
259

Primality

Prime factorization: 11 × 67 × 181

Nearest primes: 133,391 (−6) · 133,403 (+6)

Divisors & multiples

All divisors (8)
1 · 11 · 67 · 181 · 737 · 1991 · 12127 · 133397
Aliquot sum (sum of proper divisors): 15,115
Factor pairs (a × b = 133,397)
1 × 133397
11 × 12127
67 × 1991
181 × 737
First multiples
133,397 · 266,794 (double) · 400,191 · 533,588 · 666,985 · 800,382 · 933,779 · 1,067,176 · 1,200,573 · 1,333,970

Sums & aliquot sequence

As consecutive integers: 66,698 + 66,699 12,122 + 12,123 + … + 12,132 6,053 + 6,054 + … + 6,074 1,958 + 1,959 + … + 2,024
Aliquot sequence: 133,397 15,115 3,029 247 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√133,397 = [365; (4, 4, 13, 1, 4, 3, 13, 1, 2, 1, 3, 1, 1, 182, 16, 1, 55, 4, 55, 1, 16, 182, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred ninety-seven
Ordinal
133397th
Binary
100000100100010101
Octal
404425
Hexadecimal
0x20915
Base64
AgkV
One's complement
4,294,833,898 (32-bit)
Scientific notation
1.33397 × 10⁵
As a duration
133,397 s = 1 day, 13 hours, 3 minutes, 17 seconds
In other bases
ternary (3) 20202222122
quaternary (4) 200210111
quinary (5) 13232042
senary (6) 2505325
septenary (7) 1063625
nonary (9) 222878
undecimal (11) 91250
duodecimal (12) 65245
tridecimal (13) 48944
tetradecimal (14) 36885
pentadecimal (15) 297d2

As an angle

133,397° = 370 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτϟζʹ
Mayan (base 20)
𝋰·𝋭·𝋩·𝋱
Chinese
一十三萬三千三百九十七
Chinese (financial)
壹拾參萬參仟參佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٣٣٩٧ Devanagari १३३३९७ Bengali ১৩৩৩৯৭ Tamil ௧௩௩௩௯௭ Thai ๑๓๓๓๙๗ Tibetan ༡༣༣༣༩༧ Khmer ១៣៣៣៩៧ Lao ໑໓໓໓໙໗ Burmese ၁၃၃၃၉၇

Also seen as

Unicode codepoint
𠤕
CJK Unified Ideograph-20915
U+20915
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 95 (4 bytes).

Hex color
#020915
RGB(2, 9, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.21.

Address
0.2.9.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.21

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 133,397 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 133397 first appears in π at position 397,099 of the decimal expansion (the 397,099ordinal-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

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