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133,597

133,597 is a prime, 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.).

133,597 (one hundred thirty-three thousand five hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x209DD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,835
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
795,331
Square (n²)
17,848,158,409
Cube (n³)
2,384,460,418,967,173
Divisor count
2
σ(n) — sum of divisors
133,598
φ(n) — Euler's totient
133,596

Primality

133,597 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133597
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,597)
1 × 133597
First multiples
133,597 · 267,194 (double) · 400,791 · 534,388 · 667,985 · 801,582 · 935,179 · 1,068,776 · 1,202,373 · 1,335,970

Sums & aliquot sequence

As a sum of two squares: 91² + 354²
As consecutive integers: 66,798 + 66,799

Continued fraction of √n

√133,597 = [365; (1, 1, 26, 1, 1, 2, 1, 6, 8, 1, 1, 4, 6, 2, 1, 2, 1, 5, 1, 1, 2, 1, 9, 1, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred ninety-seven
Ordinal
133597th
Binary
100000100111011101
Octal
404735
Hexadecimal
0x209DD
Base64
Agnd
One's complement
4,294,833,698 (32-bit)
Scientific notation
1.33597 × 10⁵
As a duration
133,597 s = 1 day, 13 hours, 6 minutes, 37 seconds
In other bases
ternary (3) 20210021001
quaternary (4) 200213131
quinary (5) 13233342
senary (6) 2510301
septenary (7) 1064332
nonary (9) 223231
undecimal (11) 91412
duodecimal (12) 65391
tridecimal (13) 48a69
tetradecimal (14) 36989
pentadecimal (15) 298b7

As an angle

133,597° = 371 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφϟζʹ
Mayan (base 20)
𝋰·𝋭·𝋳·𝋱
Chinese
一十三萬三千五百九十七
Chinese (financial)
壹拾參萬參仟伍佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٣٥٩٧ Devanagari १३३५९७ Bengali ১৩৩৫৯৭ Tamil ௧௩௩௫௯௭ Thai ๑๓๓๕๙๗ Tibetan ༡༣༣༥༩༧ Khmer ១៣៣៥៩៧ Lao ໑໓໓໕໙໗ Burmese ၁၃၃၅၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠧝
CJK Unified Ideograph-209Dd
U+209DD
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 9D (4 bytes).

Hex color
#0209DD
RGB(2, 9, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.221.

Address
0.2.9.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.221

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 133,597 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.