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123,989

123,989 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.).

123,989 (one hundred twenty-three thousand nine hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E455.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
3,888
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
989,321
Recamán's sequence
a(238,186) = 123,989
Square (n²)
15,373,272,121
Cube (n³)
1,906,116,637,010,669
Divisor count
2
σ(n) — sum of divisors
123,990
φ(n) — Euler's totient
123,988

Primality

123,989 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123989
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,989)
1 × 123989
First multiples
123,989 · 247,978 (double) · 371,967 · 495,956 · 619,945 · 743,934 · 867,923 · 991,912 · 1,115,901 · 1,239,890

Sums & aliquot sequence

As a sum of two squares: 167² + 310²
As consecutive integers: 61,994 + 61,995

Continued fraction of √n

√123,989 = [352; (8, 3, 1, 1, 9, 1, 16, 3, 1, 2, 5, 5, 2, 34, 1, 3, 10, 9, 1, 1, 4, 1, 1, 5, …)]

Representations

In words
one hundred twenty-three thousand nine hundred eighty-nine
Ordinal
123989th
Binary
11110010001010101
Octal
362125
Hexadecimal
0x1E455
Base64
AeRV
One's complement
4,294,843,306 (32-bit)
Scientific notation
1.23989 × 10⁵
As a duration
123,989 s = 1 day, 10 hours, 26 minutes, 29 seconds
In other bases
ternary (3) 20022002012
quaternary (4) 132101111
quinary (5) 12431424
senary (6) 2354005
septenary (7) 1024325
nonary (9) 208065
undecimal (11) 85178
duodecimal (12) 5b905
tridecimal (13) 44588
tetradecimal (14) 33285
pentadecimal (15) 26b0e

As an angle

123,989° = 344 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκγϡπθʹ
Mayan (base 20)
𝋯·𝋩·𝋳·𝋩
Chinese
一十二萬三千九百八十九
Chinese (financial)
壹拾貳萬參仟玖佰捌拾玖
In other modern scripts
Eastern Arabic ١٢٣٩٨٩ Devanagari १२३९८९ Bengali ১২৩৯৮৯ Tamil ௧௨௩௯௮௯ Thai ๑๒๓๙๘๙ Tibetan ༡༢༣༩༨༩ Khmer ១២៣៩៨៩ Lao ໑໒໓໙໘໙ Burmese ၁၂၃၉၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 123983.

Hex color
#01E455
RGB(1, 228, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.228.85.

Address
0.1.228.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.228.85

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 123,989 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 123989 first appears in π at position 348,105 of the decimal expansion (the 348,105ordinal-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.