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122,743

122,743 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.).

122,743 (one hundred twenty-two thousand seven hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DF77.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
336
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
347,221
Square (n²)
15,065,844,049
Cube (n³)
1,849,226,896,106,407
Divisor count
2
σ(n) — sum of divisors
122,744
φ(n) — Euler's totient
122,742

Primality

122,743 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122743
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,743)
1 × 122743
First multiples
122,743 · 245,486 (double) · 368,229 · 490,972 · 613,715 · 736,458 · 859,201 · 981,944 · 1,104,687 · 1,227,430

Sums & aliquot sequence

As consecutive integers: 61,371 + 61,372

Continued fraction of √n

√122,743 = [350; (2, 1, 7, 2, 12, 1, 1, 38, 2, 2, 4, 2, 233, 8, 1, 1, 1, 4, 1, 3, 1, 1, 116, 4, …)]

Representations

In words
one hundred twenty-two thousand seven hundred forty-three
Ordinal
122743rd
Binary
11101111101110111
Octal
357567
Hexadecimal
0x1DF77
Base64
Ad93
One's complement
4,294,844,552 (32-bit)
Scientific notation
1.22743 × 10⁵
As a duration
122,743 s = 1 day, 10 hours, 5 minutes, 43 seconds
In other bases
ternary (3) 20020101001
quaternary (4) 131331313
quinary (5) 12411433
senary (6) 2344131
septenary (7) 1020565
nonary (9) 206331
undecimal (11) 84245
duodecimal (12) 5b047
tridecimal (13) 43b3a
tetradecimal (14) 32a35
pentadecimal (15) 2657d

As an angle

122,743° = 340 × 360° + 343°
343° ≈ 5.986 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκβψμγʹ
Mayan (base 20)
𝋯·𝋦·𝋱·𝋣
Chinese
一十二萬二千七百四十三
Chinese (financial)
壹拾貳萬貳仟柒佰肆拾參
In other modern scripts
Eastern Arabic ١٢٢٧٤٣ Devanagari १२२७४३ Bengali ১২২৭৪৩ Tamil ௧௨௨௭௪௩ Thai ๑๒๒๗๔๓ Tibetan ༡༢༢༧༤༣ Khmer ១២២៧៤៣ Lao ໑໒໒໗໔໓ Burmese ၁၂၂၇၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122741.

Hex color
#01DF77
RGB(1, 223, 119)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.119.

Address
0.1.223.119
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.119

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 122,743 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 122743 first appears in π at position 840,140 of the decimal expansion (the 840,140ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.