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125,441

125,441 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.).

125,441 (one hundred twenty-five thousand four hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1EA01.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
160
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
144,521
Recamán's sequence
a(235,282) = 125,441
Square (n²)
15,735,444,481
Cube (n³)
1,973,869,891,141,121
Divisor count
2
σ(n) — sum of divisors
125,442
φ(n) — Euler's totient
125,440

Primality

125,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,441)
1 × 125441
First multiples
125,441 · 250,882 (double) · 376,323 · 501,764 · 627,205 · 752,646 · 878,087 · 1,003,528 · 1,128,969 · 1,254,410

Sums & aliquot sequence

As a sum of two squares: 196² + 295²
As consecutive integers: 62,720 + 62,721

Continued fraction of √n

√125,441 = [354; (5, 1, 1, 1, 87, 1, 8, 1, 2, 1, 1, 43, 1, 2, 3, 6, 1, 1, 21, 1, 1, 2, 54, 11, …)]

Representations

In words
one hundred twenty-five thousand four hundred forty-one
Ordinal
125441st
Binary
11110101000000001
Octal
365001
Hexadecimal
0x1EA01
Base64
AeoB
One's complement
4,294,841,854 (32-bit)
Scientific notation
1.25441 × 10⁵
As a duration
125,441 s = 1 day, 10 hours, 50 minutes, 41 seconds
In other bases
ternary (3) 20101001222
quaternary (4) 132220001
quinary (5) 13003231
senary (6) 2404425
septenary (7) 1031501
nonary (9) 211058
undecimal (11) 86278
duodecimal (12) 60715
tridecimal (13) 45134
tetradecimal (14) 33a01
pentadecimal (15) 2727b

As an angle

125,441° = 348 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκευμαʹ
Mayan (base 20)
𝋯·𝋭·𝋬·𝋡
Chinese
一十二萬五千四百四十一
Chinese (financial)
壹拾貳萬伍仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ١٢٥٤٤١ Devanagari १२५४४१ Bengali ১২৫৪৪১ Tamil ௧௨௫௪௪௧ Thai ๑๒๕๔๔๑ Tibetan ༡༢༥༤༤༡ Khmer ១២៥៤៤១ Lao ໑໒໕໔໔໑ Burmese ၁၂၅၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01EA01
RGB(1, 234, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.234.1.

Address
0.1.234.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.234.1

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 125,441 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 125441 first appears in π at position 945,134 of the decimal expansion (the 945,134ordinal-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.