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123,341

123,341 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.).

123,341 (one hundred twenty-three thousand three hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E1CD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
143,321
Square (n²)
15,213,002,281
Cube (n³)
1,876,386,914,340,821
Divisor count
2
σ(n) — sum of divisors
123,342
φ(n) — Euler's totient
123,340

Primality

123,341 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123341
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,341)
1 × 123341
First multiples
123,341 · 246,682 (double) · 370,023 · 493,364 · 616,705 · 740,046 · 863,387 · 986,728 · 1,110,069 · 1,233,410

Sums & aliquot sequence

As a sum of two squares: 29² + 350²
As consecutive integers: 61,670 + 61,671

Continued fraction of √n

√123,341 = [351; (5, 63, 1, 1, 1, 8, 2, 5, 3, 100, 35, 9, 10, 1, 2, 3, 1, 1, 6, 3, 1, 13, 1, 1, …)]

Representations

In words
one hundred twenty-three thousand three hundred forty-one
Ordinal
123341st
Binary
11110000111001101
Octal
360715
Hexadecimal
0x1E1CD
Base64
AeHN
One's complement
4,294,843,954 (32-bit)
Scientific notation
1.23341 × 10⁵
As a duration
123,341 s = 1 day, 10 hours, 15 minutes, 41 seconds
In other bases
ternary (3) 20021012012
quaternary (4) 132013031
quinary (5) 12421331
senary (6) 2351005
septenary (7) 1022411
nonary (9) 207165
undecimal (11) 84739
duodecimal (12) 5b465
tridecimal (13) 441aa
tetradecimal (14) 32d41
pentadecimal (15) 2682b

As an angle

123,341° = 342 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκγτμαʹ
Mayan (base 20)
𝋯·𝋨·𝋧·𝋡
Chinese
一十二萬三千三百四十一
Chinese (financial)
壹拾貳萬參仟參佰肆拾壹
In other modern scripts
Eastern Arabic ١٢٣٣٤١ Devanagari १२३३४१ Bengali ১২৩৩৪১ Tamil ௧௨௩௩௪௧ Thai ๑๒๓๓๔๑ Tibetan ༡༢༣༣༤༡ Khmer ១២៣៣៤១ Lao ໑໒໓໓໔໑ Burmese ၁၂၃၃၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01E1CD
RGB(1, 225, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.225.205.

Address
0.1.225.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.225.205

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 123,341 and was likely granted around 1871.

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

Position in π

The digit sequence 123341 first appears in π at position 242,030 of the decimal expansion (the 242,030ordinal-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.