number.wiki
Live analysis

125,821

125,821 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.).

125,821 (one hundred twenty-five thousand eight 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, 0x1EB7D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
160
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
128,521
Recamán's sequence
a(234,522) = 125,821
Square (n²)
15,830,924,041
Cube (n³)
1,991,862,693,762,661
Divisor count
2
σ(n) — sum of divisors
125,822
φ(n) — Euler's totient
125,820

Primality

125,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,821)
1 × 125821
First multiples
125,821 · 251,642 (double) · 377,463 · 503,284 · 629,105 · 754,926 · 880,747 · 1,006,568 · 1,132,389 · 1,258,210

Sums & aliquot sequence

As a sum of two squares: 165² + 314²
As consecutive integers: 62,910 + 62,911

Continued fraction of √n

√125,821 = [354; (1, 2, 2, 11, 2, 1, 1, 7, 1, 2, 1, 141, 7, 58, 1, 40, 1, 2, 1, 27, 1, 1, 1, 2, …)]

Representations

In words
one hundred twenty-five thousand eight hundred twenty-one
Ordinal
125821st
Binary
11110101101111101
Octal
365575
Hexadecimal
0x1EB7D
Base64
Aet9
One's complement
4,294,841,474 (32-bit)
Scientific notation
1.25821 × 10⁵
As a duration
125,821 s = 1 day, 10 hours, 57 minutes, 1 second
In other bases
ternary (3) 20101121001
quaternary (4) 132231331
quinary (5) 13011241
senary (6) 2410301
septenary (7) 1032553
nonary (9) 211531
undecimal (11) 86593
duodecimal (12) 60991
tridecimal (13) 45367
tetradecimal (14) 33bd3
pentadecimal (15) 27431

As an angle

125,821° = 349 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρκεωκαʹ
Mayan (base 20)
𝋯·𝋮·𝋫·𝋡
Chinese
一十二萬五千八百二十一
Chinese (financial)
壹拾貳萬伍仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٢٥٨٢١ Devanagari १२५८२१ Bengali ১২৫৮২১ Tamil ௧௨௫௮௨௧ Thai ๑๒๕๘๒๑ Tibetan ༡༢༥༨༢༡ Khmer ១២៥៨២១ Lao ໑໒໕໘໒໑ Burmese ၁၂၅၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01EB7D
RGB(1, 235, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.235.125.

Address
0.1.235.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.235.125

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 125,821 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 125821 first appears in π at position 349,490 of the decimal expansion (the 349,490ordinal-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.