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134,609

134,609 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.).

134,609 (one hundred thirty-four thousand six hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20DD1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
906,431
Square (n²)
18,119,582,881
Cube (n³)
2,439,058,932,028,529
Divisor count
2
σ(n) — sum of divisors
134,610
φ(n) — Euler's totient
134,608

Primality

134,609 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134609
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,609)
1 × 134609
First multiples
134,609 · 269,218 (double) · 403,827 · 538,436 · 673,045 · 807,654 · 942,263 · 1,076,872 · 1,211,481 · 1,346,090

Sums & aliquot sequence

As a sum of two squares: 100² + 353²
As consecutive integers: 67,304 + 67,305

Continued fraction of √n

√134,609 = [366; (1, 8, 5, 1, 3, 6, 1, 1, 2, 13, 2, 4, 1, 1, 2, 1, 2, 6, 1, 3, 9, 1, 3, 1, …)]

Representations

In words
one hundred thirty-four thousand six hundred nine
Ordinal
134609th
Binary
100000110111010001
Octal
406721
Hexadecimal
0x20DD1
Base64
Ag3R
One's complement
4,294,832,686 (32-bit)
Scientific notation
1.34609 × 10⁵
As a duration
134,609 s = 1 day, 13 hours, 23 minutes, 29 seconds
In other bases
ternary (3) 20211122112
quaternary (4) 200313101
quinary (5) 13301414
senary (6) 2515105
septenary (7) 1100306
nonary (9) 224575
undecimal (11) 92152
duodecimal (12) 65a95
tridecimal (13) 49367
tetradecimal (14) 370ad
pentadecimal (15) 29d3e

As an angle

134,609° = 373 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδχθʹ
Mayan (base 20)
𝋰·𝋰·𝋪·𝋩
Chinese
一十三萬四千六百零九
Chinese (financial)
壹拾參萬肆仟陸佰零玖
In other modern scripts
Eastern Arabic ١٣٤٦٠٩ Devanagari १३४६०९ Bengali ১৩৪৬০৯ Tamil ௧௩௪௬௦௯ Thai ๑๓๔๖๐๙ Tibetan ༡༣༤༦༠༩ Khmer ១៣៤៦០៩ Lao ໑໓໔໖໐໙ Burmese ၁၃၄၆၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠷑
CJK Unified Ideograph-20Dd1
U+20DD1
Other letter (Lo)

UTF-8 encoding: F0 A0 B7 91 (4 bytes).

Hex color
#020DD1
RGB(2, 13, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.209.

Address
0.2.13.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.209

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 134,609 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 134609 first appears in π at position 198,646 of the decimal expansion (the 198,646ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.