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125,000

125,000 is a composite number, even.

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.).

125,000 (one hundred twenty-five thousand) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2³ × 5⁶. Its proper divisors sum to 167,965, more than the number itself, making it an abundant number. It is a perfect cube (50³). Written other ways, in hexadecimal, 0x1E848.

Abundant Number Frugal Number Gapful Number Harshad / Niven Odious Number Perfect Cube Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
521
Recamán's sequence
a(236,164) = 125,000
Square (n²)
15,625,000,000
Cube (n³)
1,953,125,000,000,000
Cube root (∛n)
50
Divisor count
28
σ(n) — sum of divisors
292,965
φ(n) — Euler's totient
50,000
Sum of prime factors
36

Primality

Prime factorization: 2 3 × 5 6

Nearest primes: 124,991 (−9) · 125,003 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 625 · 1000 · 1250 · 2500 · 3125 · 5000 · 6250 · 12500 · 15625 · 25000 · 31250 · 62500 (half) · 125000
Aliquot sum (sum of proper divisors): 167,965
Factor pairs (a × b = 125,000)
1 × 125000
2 × 62500
4 × 31250
5 × 25000
8 × 15625
10 × 12500
20 × 6250
25 × 5000
40 × 3125
50 × 2500
100 × 1250
125 × 1000
200 × 625
250 × 500
First multiples
125,000 · 250,000 (double) · 375,000 · 500,000 · 625,000 · 750,000 · 875,000 · 1,000,000 · 1,125,000 · 1,250,000

Sums & aliquot sequence

As a sum of two squares: 50² + 350² = 146² + 322² = 170² + 310² = 250² + 250²
As consecutive integers: 24,998 + 24,999 + 25,000 + 25,001 + 25,002 7,805 + 7,806 + … + 7,820 4,988 + 4,989 + … + 5,012 1,523 + 1,524 + … + 1,602
Aliquot sequence: 125,000 167,965 62,435 12,493 1,409 1 0 — terminates at zero

Continued fraction of √n

√125,000 = [353; (1, 1, 4, 5, 2, 12, 5, 1, 6, 4, 4, 14, 5, 7, 1, 2, 1, 27, 1, 1, 5, 2, 3, 4, …)]

Representations

In words
one hundred twenty-five thousand
Ordinal
125000th
Binary
11110100001001000
Octal
364110
Hexadecimal
0x1E848
Base64
AehI
One's complement
4,294,842,295 (32-bit)
Scientific notation
1.25 × 10⁵
As a duration
125,000 s = 1 day, 10 hours, 43 minutes, 20 seconds
In other bases
ternary (3) 20100110122
quaternary (4) 132201020
quinary (5) 13000000
senary (6) 2402412
septenary (7) 1030301
nonary (9) 210418
undecimal (11) 85a07
duodecimal (12) 60408
tridecimal (13) 44b85
tetradecimal (14) 337a8
pentadecimal (15) 27085
Palindromic in base 7

As an angle

125,000° = 347 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ρκε
Mayan (base 20)
𝋯·𝋬·𝋪·𝋠
Chinese
一十二萬五千
Chinese (financial)
壹拾貳萬伍仟
In other modern scripts
Eastern Arabic ١٢٥٠٠٠ Devanagari १२५००० Bengali ১২৫০০০ Tamil ௧௨௫௦௦௦ Thai ๑๒๕๐๐๐ Tibetan ༡༢༥༠༠༠ Khmer ១២៥០០០ Lao ໑໒໕໐໐໐ Burmese ၁၂၅၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125000, here are decompositions:

  • 13 + 124987 = 125000
  • 19 + 124981 = 125000
  • 103 + 124897 = 125000
  • 181 + 124819 = 125000
  • 223 + 124777 = 125000
  • 229 + 124771 = 125000
  • 241 + 124759 = 125000
  • 283 + 124717 = 125000

Showing the first eight; more decompositions exist.

Unicode codepoint
𞡈
Mende Kikakui Syllable M055 Te
U+1E848
Other letter (Lo)

UTF-8 encoding: F0 9E A1 88 (4 bytes).

Hex color
#01E848
RGB(1, 232, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.232.72.

Address
0.1.232.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.232.72

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 125,000 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.