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122,609

122,609 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.).

122,609 (one hundred twenty-two 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, 0x1DEF1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
906,221
Square (n²)
15,032,966,881
Cube (n³)
1,843,177,036,312,529
Divisor count
2
σ(n) — sum of divisors
122,610
φ(n) — Euler's totient
122,608

Primality

122,609 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122609
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,609)
1 × 122609
First multiples
122,609 · 245,218 (double) · 367,827 · 490,436 · 613,045 · 735,654 · 858,263 · 980,872 · 1,103,481 · 1,226,090

Sums & aliquot sequence

As a sum of two squares: 172² + 305²
As consecutive integers: 61,304 + 61,305

Continued fraction of √n

√122,609 = [350; (6, 2, 2, 1, 3, 3, 1, 2, 1, 2, 1, 3, 1, 1, 1, 4, 2, 1, 1, 11, 1, 10, 1, 1, …)]

Representations

In words
one hundred twenty-two thousand six hundred nine
Ordinal
122609th
Binary
11101111011110001
Octal
357361
Hexadecimal
0x1DEF1
Base64
Ad7x
One's complement
4,294,844,686 (32-bit)
Scientific notation
1.22609 × 10⁵
As a duration
122,609 s = 1 day, 10 hours, 3 minutes, 29 seconds
In other bases
ternary (3) 20020012002
quaternary (4) 131323301
quinary (5) 12410414
senary (6) 2343345
septenary (7) 1020314
nonary (9) 206162
undecimal (11) 84133
duodecimal (12) 5ab55
tridecimal (13) 43a66
tetradecimal (14) 3297b
pentadecimal (15) 264de

As an angle

122,609° = 340 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβχθʹ
Mayan (base 20)
𝋯·𝋦·𝋪·𝋩
Chinese
一十二萬二千六百零九
Chinese (financial)
壹拾貳萬貳仟陸佰零玖
In other modern scripts
Eastern Arabic ١٢٢٦٠٩ Devanagari १२२६०९ Bengali ১২২৬০৯ Tamil ௧௨௨௬௦௯ Thai ๑๒๒๖๐๙ Tibetan ༡༢༢༦༠༩ Khmer ១២២៦០៩ Lao ໑໒໒໖໐໙ Burmese ၁၂၂၆၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122611.

Hex color
#01DEF1
RGB(1, 222, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.241.

Address
0.1.222.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.241

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 122,609 and was likely granted around 1871.

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