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125,921

125,921 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.).

125,921 (one hundred twenty-five thousand nine hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1EBE1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
180
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
129,521
Recamán's sequence
a(234,322) = 125,921
Square (n²)
15,856,098,241
Cube (n³)
1,996,615,746,604,961
Divisor count
2
σ(n) — sum of divisors
125,922
φ(n) — Euler's totient
125,920

Primality

125,921 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125921
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,921)
1 × 125921
First multiples
125,921 · 251,842 (double) · 377,763 · 503,684 · 629,605 · 755,526 · 881,447 · 1,007,368 · 1,133,289 · 1,259,210

Sums & aliquot sequence

As a sum of two squares: 236² + 265²
As consecutive integers: 62,960 + 62,961

Continued fraction of √n

√125,921 = [354; (1, 5, 1, 4, 1, 2, 1, 2, 1, 1, 3, 1, 1, 9, 2, 3, 3, 8, 22, 17, 3, 1, 3, 2, …)]

Representations

In words
one hundred twenty-five thousand nine hundred twenty-one
Ordinal
125921st
Binary
11110101111100001
Octal
365741
Hexadecimal
0x1EBE1
Base64
Aevh
One's complement
4,294,841,374 (32-bit)
Scientific notation
1.25921 × 10⁵
As a duration
125,921 s = 1 day, 10 hours, 58 minutes, 41 seconds
In other bases
ternary (3) 20101201202
quaternary (4) 132233201
quinary (5) 13012141
senary (6) 2410545
septenary (7) 1033055
nonary (9) 211652
undecimal (11) 86674
duodecimal (12) 60a55
tridecimal (13) 45413
tetradecimal (14) 33c65
pentadecimal (15) 2749b
Palindromic in base 16

As an angle

125,921° = 349 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρκεϡκαʹ
Mayan (base 20)
𝋯·𝋮·𝋰·𝋡
Chinese
一十二萬五千九百二十一
Chinese (financial)
壹拾貳萬伍仟玖佰貳拾壹
In other modern scripts
Eastern Arabic ١٢٥٩٢١ Devanagari १२५९२१ Bengali ১২৫৯২১ Tamil ௧௨௫௯௨௧ Thai ๑๒๕๙๒๑ Tibetan ༡༢༥༩༢༡ Khmer ១២៥៩២១ Lao ໑໒໕໙໒໑ Burmese ၁၂၅၉၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 125927.

Hex color
#01EBE1
RGB(1, 235, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.235.225.

Address
0.1.235.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.235.225

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 125,921 and was likely granted around 1871.

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

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.