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125,221

125,221 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.).

125,221 (one hundred twenty-five thousand two 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, 0x1E925.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
40
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
122,521
Recamán's sequence
a(235,722) = 125,221
Square (n²)
15,680,298,841
Cube (n³)
1,963,502,701,168,861
Divisor count
2
σ(n) — sum of divisors
125,222
φ(n) — Euler's totient
125,220

Primality

125,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,221)
1 × 125221
First multiples
125,221 · 250,442 (double) · 375,663 · 500,884 · 626,105 · 751,326 · 876,547 · 1,001,768 · 1,126,989 · 1,252,210

Sums & aliquot sequence

As a sum of two squares: 114² + 335²
As consecutive integers: 62,610 + 62,611

Continued fraction of √n

√125,221 = [353; (1, 6, 2, 4, 1, 1, 1, 1, 1, 235, 3, 2, 6, 1, 1, 1, 5, 1, 1, 78, 10, 2, 1, 1, …)]

Representations

In words
one hundred twenty-five thousand two hundred twenty-one
Ordinal
125221st
Binary
11110100100100101
Octal
364445
Hexadecimal
0x1E925
Base64
Aekl
One's complement
4,294,842,074 (32-bit)
Scientific notation
1.25221 × 10⁵
As a duration
125,221 s = 1 day, 10 hours, 47 minutes, 1 second
In other bases
ternary (3) 20100202211
quaternary (4) 132210211
quinary (5) 13001341
senary (6) 2403421
septenary (7) 1031035
nonary (9) 210684
undecimal (11) 86098
duodecimal (12) 60571
tridecimal (13) 44cc5
tetradecimal (14) 338c5
pentadecimal (15) 27181

As an angle

125,221° = 347 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρκεσκαʹ
Mayan (base 20)
𝋯·𝋭·𝋡·𝋡
Chinese
一十二萬五千二百二十一
Chinese (financial)
壹拾貳萬伍仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٢٥٢٢١ Devanagari १२५२२१ Bengali ১২৫২২১ Tamil ௧௨௫௨௨௧ Thai ๑๒๕๒๒๑ Tibetan ༡༢༥༢༢༡ Khmer ១២៥២២១ Lao ໑໒໕໒໒໑ Burmese ၁၂၅၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 125219.

Unicode codepoint
𞤥
Adlam Small Letter Miim
U+1E925
Lowercase letter (Ll)

UTF-8 encoding: F0 9E A4 A5 (4 bytes).

Hex color
#01E925
RGB(1, 233, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.233.37.

Address
0.1.233.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.233.37

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 125,221 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.