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133,417

133,417 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.).

133,417 (one hundred thirty-three thousand four hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20929.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
252
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
714,331
Recamán's sequence
a(35,494) = 133,417
Square (n²)
17,800,095,889
Cube (n³)
2,374,835,393,222,713
Divisor count
2
σ(n) — sum of divisors
133,418
φ(n) — Euler's totient
133,416

Primality

133,417 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133417
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,417)
1 × 133417
First multiples
133,417 · 266,834 (double) · 400,251 · 533,668 · 667,085 · 800,502 · 933,919 · 1,067,336 · 1,200,753 · 1,334,170

Sums & aliquot sequence

As a sum of two squares: 136² + 339²
As consecutive integers: 66,708 + 66,709

Continued fraction of √n

√133,417 = [365; (3, 1, 4, 11, 2, 1, 1, 2, 11, 4, 1, 3, 730)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred seventeen
Ordinal
133417th
Binary
100000100100101001
Octal
404451
Hexadecimal
0x20929
Base64
Agkp
One's complement
4,294,833,878 (32-bit)
Scientific notation
1.33417 × 10⁵
As a duration
133,417 s = 1 day, 13 hours, 3 minutes, 37 seconds
In other bases
ternary (3) 20210000101
quaternary (4) 200210221
quinary (5) 13232132
senary (6) 2505401
septenary (7) 1063654
nonary (9) 223011
undecimal (11) 91269
duodecimal (12) 65261
tridecimal (13) 4895b
tetradecimal (14) 3689b
pentadecimal (15) 297e7

As an angle

133,417° = 370 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυιζʹ
Mayan (base 20)
𝋰·𝋭·𝋪·𝋱
Chinese
一十三萬三千四百一十七
Chinese (financial)
壹拾參萬參仟肆佰壹拾柒
In other modern scripts
Eastern Arabic ١٣٣٤١٧ Devanagari १३३४१७ Bengali ১৩৩৪১৭ Tamil ௧௩௩௪௧௭ Thai ๑๓๓๔๑๗ Tibetan ༡༣༣༤༡༧ Khmer ១៣៣៤១៧ Lao ໑໓໓໔໑໗ Burmese ၁၃၃၄၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠤩
CJK Unified Ideograph-20929
U+20929
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 A9 (4 bytes).

Hex color
#020929
RGB(2, 9, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.41.

Address
0.2.9.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.41

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 133,417 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 133417 first appears in π at position 614,142 of the decimal expansion (the 614,142ordinal-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

  • 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.