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125,003

125,003 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.).

125,003 (one hundred twenty-five thousand three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E84B.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Safe Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
300,521
Recamán's sequence
a(236,158) = 125,003
Square (n²)
15,625,750,009
Cube (n³)
1,953,265,628,375,027
Divisor count
2
σ(n) — sum of divisors
125,004
φ(n) — Euler's totient
125,002

Primality

125,003 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 125003
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 125,003)
1 × 125003
First multiples
125,003 · 250,006 (double) · 375,009 · 500,012 · 625,015 · 750,018 · 875,021 · 1,000,024 · 1,125,027 · 1,250,030

Sums & aliquot sequence

As consecutive integers: 62,501 + 62,502

Continued fraction of √n

√125,003 = [353; (1, 1, 3, 1, 5, 6, 11, 1, 4, 1, 1, 1, 6, 41, 2, 4, 100, 1, 3, 1, 5, 1, 4, 4, …)]

Representations

In words
one hundred twenty-five thousand three
Ordinal
125003rd
Binary
11110100001001011
Octal
364113
Hexadecimal
0x1E84B
Base64
AehL
One's complement
4,294,842,292 (32-bit)
Scientific notation
1.25003 × 10⁵
As a duration
125,003 s = 1 day, 10 hours, 43 minutes, 23 seconds
In other bases
ternary (3) 20100110202
quaternary (4) 132201023
quinary (5) 13000003
senary (6) 2402415
septenary (7) 1030304
nonary (9) 210422
undecimal (11) 85a0a
duodecimal (12) 6040b
tridecimal (13) 44b88
tetradecimal (14) 337ab
pentadecimal (15) 27088

As an angle

125,003° = 347 × 360° + 83°
83° ≈ 1.449 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺
Greek (Milesian)
͵ρκεγʹ
Mayan (base 20)
𝋯·𝋬·𝋪·𝋣
Chinese
一十二萬五千零三
Chinese (financial)
壹拾貳萬伍仟零參
In other modern scripts
Eastern Arabic ١٢٥٠٠٣ Devanagari १२५००३ Bengali ১২৫০০৩ Tamil ௧௨௫௦௦௩ Thai ๑๒๕๐๐๓ Tibetan ༡༢༥༠༠༣ Khmer ១២៥០០៣ Lao ໑໒໕໐໐໓ Burmese ၁၂၅၀၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𞡋
Mende Kikakui Syllable M028 Ji
U+1E84B
Other letter (Lo)

UTF-8 encoding: F0 9E A1 8B (4 bytes).

Hex color
#01E84B
RGB(1, 232, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.232.75.

Address
0.1.232.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.232.75

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 125,003 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 125003 first appears in π at position 245,904 of the decimal expansion (the 245,904ordinal-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.