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125,813

125,813 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.).

125,813 (one hundred twenty-five thousand eight hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1EB75.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
240
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
318,521
Recamán's sequence
a(234,538) = 125,813
Square (n²)
15,828,910,969
Cube (n³)
1,991,482,775,742,797
Divisor count
2
σ(n) — sum of divisors
125,814
φ(n) — Euler's totient
125,812

Primality

125,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,813)
1 × 125813
First multiples
125,813 · 251,626 (double) · 377,439 · 503,252 · 629,065 · 754,878 · 880,691 · 1,006,504 · 1,132,317 · 1,258,130

Sums & aliquot sequence

As a sum of two squares: 238² + 263²
As consecutive integers: 62,906 + 62,907

Continued fraction of √n

√125,813 = [354; (1, 2, 2, 1, 7, 10, 2, 5, 2, 16, 25, 3, 1, 1, 1, 2, 1, 12, 1, 11, 10, 2, 1, 6, …)]

Representations

In words
one hundred twenty-five thousand eight hundred thirteen
Ordinal
125813th
Binary
11110101101110101
Octal
365565
Hexadecimal
0x1EB75
Base64
Aet1
One's complement
4,294,841,482 (32-bit)
Scientific notation
1.25813 × 10⁵
As a duration
125,813 s = 1 day, 10 hours, 56 minutes, 53 seconds
In other bases
ternary (3) 20101120202
quaternary (4) 132231311
quinary (5) 13011223
senary (6) 2410245
septenary (7) 1032542
nonary (9) 211522
undecimal (11) 86586
duodecimal (12) 60985
tridecimal (13) 4535c
tetradecimal (14) 33bc9
pentadecimal (15) 27428

As an angle

125,813° = 349 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκεωιγʹ
Mayan (base 20)
𝋯·𝋮·𝋪·𝋭
Chinese
一十二萬五千八百一十三
Chinese (financial)
壹拾貳萬伍仟捌佰壹拾參
In other modern scripts
Eastern Arabic ١٢٥٨١٣ Devanagari १२५८१३ Bengali ১২৫৮১৩ Tamil ௧௨௫௮௧௩ Thai ๑๒๕๘๑๓ Tibetan ༡༢༥༨༡༣ Khmer ១២៥៨១៣ Lao ໑໒໕໘໑໓ Burmese ၁၂၅၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01EB75
RGB(1, 235, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.235.117.

Address
0.1.235.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.235.117

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 125,813 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 125813 first appears in π at position 390,121 of the decimal expansion (the 390,121ordinal-suffix:st 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.