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103,376

103,376 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.).

103,376 (one hundred three thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 13 × 71. Its proper divisors sum to 146,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x193D0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
673,301
Recamán's sequence
a(95,883) = 103,376
Square (n²)
10,686,597,376
Cube (n³)
1,104,737,690,341,376
Divisor count
40
σ(n) — sum of divisors
249,984
φ(n) — Euler's totient
40,320
Sum of prime factors
99

Primality

Prime factorization: 2 4 × 7 × 13 × 71

Nearest primes: 103,357 (−19) · 103,387 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 52 · 56 · 71 · 91 · 104 · 112 · 142 · 182 · 208 · 284 · 364 · 497 · 568 · 728 · 923 · 994 · 1136 · 1456 · 1846 · 1988 · 3692 · 3976 · 6461 · 7384 · 7952 · 12922 · 14768 · 25844 · 51688 (half) · 103376
Aliquot sum (sum of proper divisors): 146,608
Factor pairs (a × b = 103,376)
1 × 103376
2 × 51688
4 × 25844
7 × 14768
8 × 12922
13 × 7952
14 × 7384
16 × 6461
26 × 3976
28 × 3692
52 × 1988
56 × 1846
71 × 1456
91 × 1136
104 × 994
112 × 923
142 × 728
182 × 568
208 × 497
284 × 364
First multiples
103,376 · 206,752 (double) · 310,128 · 413,504 · 516,880 · 620,256 · 723,632 · 827,008 · 930,384 · 1,033,760

Sums & aliquot sequence

As consecutive integers: 14,765 + 14,766 + … + 14,771 7,946 + 7,947 + … + 7,958 3,215 + 3,216 + … + 3,246 1,421 + 1,422 + … + 1,491
Aliquot sequence: 103,376 146,608 235,064 205,696 204,344 249,256 284,984 337,456 448,208 431,572 356,684 294,820 324,344 283,816 289,484 286,756 244,712 — unresolved within range

Continued fraction of √n

√103,376 = [321; (1, 1, 11, 5, 4, 2, 1, 1, 11, 9, 1, 24, 1, 4, 1, 1, 2, 1, 1, 4, 1, 24, 1, 9, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand three hundred seventy-six
Ordinal
103376th
Binary
11001001111010000
Octal
311720
Hexadecimal
0x193D0
Base64
AZPQ
One's complement
4,294,863,919 (32-bit)
Scientific notation
1.03376 × 10⁵
As a duration
103,376 s = 1 day, 4 hours, 42 minutes, 56 seconds
In other bases
ternary (3) 12020210202
quaternary (4) 121033100
quinary (5) 11302001
senary (6) 2114332
septenary (7) 610250
nonary (9) 166722
undecimal (11) 70739
duodecimal (12) 4b9a8
tridecimal (13) 38090
tetradecimal (14) 29960
pentadecimal (15) 2096b

As an angle

103,376° = 287 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ργτοϛʹ
Mayan (base 20)
𝋬·𝋲·𝋨·𝋰
Chinese
一十萬三千三百七十六
Chinese (financial)
壹拾萬參仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٠٣٣٧٦ Devanagari १०३३७६ Bengali ১০৩৩৭৬ Tamil ௧௦௩௩௭௬ Thai ๑๐๓๓๗๖ Tibetan ༡༠༣༣༧༦ Khmer ១០៣៣៧៦ Lao ໑໐໓໓໗໖ Burmese ၁၀၃၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103376, here are decompositions:

  • 19 + 103357 = 103376
  • 43 + 103333 = 103376
  • 139 + 103237 = 103376
  • 193 + 103183 = 103376
  • 199 + 103177 = 103376
  • 277 + 103099 = 103376
  • 283 + 103093 = 103376
  • 307 + 103069 = 103376

Showing the first eight; more decompositions exist.

Hex color
#0193D0
RGB(1, 147, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.147.208.

Address
0.1.147.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.147.208

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 103,376 and was likely granted around 1870.

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.