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120,823

120,823 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.).

120,823 (one hundred twenty thousand eight hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D7F7.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Happy Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
328,021
Square (n²)
14,598,197,329
Cube (n³)
1,763,797,995,881,767
Divisor count
2
σ(n) — sum of divisors
120,824
φ(n) — Euler's totient
120,822

Primality

120,823 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120823
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,823)
1 × 120823
First multiples
120,823 · 241,646 (double) · 362,469 · 483,292 · 604,115 · 724,938 · 845,761 · 966,584 · 1,087,407 · 1,208,230

Sums & aliquot sequence

As consecutive integers: 60,411 + 60,412

Continued fraction of √n

√120,823 = [347; (1, 1, 2, 9, 1, 2, 12, 1, 1, 7, 1, 23, 11, 5, 1, 5, 1, 2, 1, 1, 1, 1, 7, 2, …)]

Representations

In words
one hundred twenty thousand eight hundred twenty-three
Ordinal
120823rd
Binary
11101011111110111
Octal
353767
Hexadecimal
0x1D7F7
Base64
Adf3
One's complement
4,294,846,472 (32-bit)
Scientific notation
1.20823 × 10⁵
As a duration
120,823 s = 1 day, 9 hours, 33 minutes, 43 seconds
In other bases
ternary (3) 20010201221
quaternary (4) 131133313
quinary (5) 12331243
senary (6) 2331211
septenary (7) 1012153
nonary (9) 203657
undecimal (11) 8285a
duodecimal (12) 59b07
tridecimal (13) 42cc1
tetradecimal (14) 32063
pentadecimal (15) 25bed

As an angle

120,823° = 335 × 360° + 223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκωκγʹ
Mayan (base 20)
𝋯·𝋢·𝋡·𝋣
Chinese
一十二萬零八百二十三
Chinese (financial)
壹拾貳萬零捌佰貳拾參
In other modern scripts
Eastern Arabic ١٢٠٨٢٣ Devanagari १२०८२३ Bengali ১২০৮২৩ Tamil ௧௨௦௮௨௩ Thai ๑๒๐๘๒๓ Tibetan ༡༢༠༨༢༣ Khmer ១២០៨២៣ Lao ໑໒໐໘໒໓ Burmese ၁၂၀၈၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 120817, sexy with 120829.

Unicode codepoint
𝟷
Mathematical Monospace Digit One
U+1D7F7
Decimal digit (Nd)

UTF-8 encoding: F0 9D 9F B7 (4 bytes).

Hex color
#01D7F7
RGB(1, 215, 247)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.247.

Address
0.1.215.247
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.247

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 120,823 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 120823 first appears in π at position 573,876 of the decimal expansion (the 573,876ordinal-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.