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103,000

103,000 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.).

103,000 (one hundred three thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 103. Its proper divisors sum to 140,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19258.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
301
Recamán's sequence
a(96,735) = 103,000
Square (n²)
10,609,000,000
Cube (n³)
1,092,727,000,000,000
Divisor count
32
σ(n) — sum of divisors
243,360
φ(n) — Euler's totient
40,800
Sum of prime factors
124

Primality

Prime factorization: 2 3 × 5 3 × 103

Nearest primes: 102,983 (−17) · 103,001 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 103 · 125 · 200 · 206 · 250 · 412 · 500 · 515 · 824 · 1000 · 1030 · 2060 · 2575 · 4120 · 5150 · 10300 · 12875 · 20600 · 25750 · 51500 (half) · 103000
Aliquot sum (sum of proper divisors): 140,360
Factor pairs (a × b = 103,000)
1 × 103000
2 × 51500
4 × 25750
5 × 20600
8 × 12875
10 × 10300
20 × 5150
25 × 4120
40 × 2575
50 × 2060
100 × 1030
103 × 1000
125 × 824
200 × 515
206 × 500
250 × 412
First multiples
103,000 · 206,000 (double) · 309,000 · 412,000 · 515,000 · 618,000 · 721,000 · 824,000 · 927,000 · 1,030,000

Sums & aliquot sequence

As consecutive integers: 20,598 + 20,599 + 20,600 + 20,601 + 20,602 6,430 + 6,431 + … + 6,445 4,108 + 4,109 + … + 4,132 1,248 + 1,249 + … + 1,327
Aliquot sequence: 103,000 140,360 218,740 240,656 269,914 156,326 78,166 65,474 37,966 20,498 11,194 6,266 3,898 1,952 1,954 980 1,414 — unresolved within range

Continued fraction of √n

√103,000 = [320; (1, 14, 1, 1, 1, 10, 1, 4, 16, 3, 1, 12, 2, 1, 8, 2, 1, 2, 1, 4, 4, 25, 2, 3, …)]

Representations

In words
one hundred three thousand
Ordinal
103000th
Binary
11001001001011000
Octal
311130
Hexadecimal
0x19258
Base64
AZJY
One's complement
4,294,864,295 (32-bit)
Scientific notation
1.03 × 10⁵
As a duration
103,000 s = 1 day, 4 hours, 36 minutes, 40 seconds
In other bases
ternary (3) 12020021211
quaternary (4) 121021120
quinary (5) 11244000
senary (6) 2112504
septenary (7) 606202
nonary (9) 166254
undecimal (11) 70427
duodecimal (12) 4b734
tridecimal (13) 37b61
tetradecimal (14) 29772
pentadecimal (15) 207ba

As an angle

103,000° = 286 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼
Greek (Milesian)
͵ργ
Mayan (base 20)
𝋬·𝋱·𝋪·𝋠
Chinese
一十萬三千
Chinese (financial)
壹拾萬參仟
In other modern scripts
Eastern Arabic ١٠٣٠٠٠ Devanagari १०३००० Bengali ১০৩০০০ Tamil ௧௦௩௦௦௦ Thai ๑๐๓๐๐๐ Tibetan ༡༠༣༠༠༠ Khmer ១០៣០០០ Lao ໑໐໓໐໐໐ Burmese ၁၀၃၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103000, here are decompositions:

  • 17 + 102983 = 103000
  • 47 + 102953 = 103000
  • 71 + 102929 = 103000
  • 89 + 102911 = 103000
  • 239 + 102761 = 103000
  • 347 + 102653 = 103000
  • 353 + 102647 = 103000
  • 389 + 102611 = 103000

Showing the first eight; more decompositions exist.

Hex color
#019258
RGB(1, 146, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.146.88.

Address
0.1.146.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.146.88

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 103,000 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 103000 first appears in π at position 521,650 of the decimal expansion (the 521,650ordinal-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