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104,780

104,780 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.).

104,780 (one hundred four thousand seven hundred eighty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 13² × 31. Its proper divisors sum to 141,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1994C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven 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
87,401
Recamán's sequence
a(91,631) = 104,780
Square (n²)
10,978,848,400
Cube (n³)
1,150,363,735,352,000
Divisor count
36
σ(n) — sum of divisors
245,952
φ(n) — Euler's totient
37,440
Sum of prime factors
66

Primality

Prime factorization: 2 2 × 5 × 13 2 × 31

Nearest primes: 104,779 (−1) · 104,789 (+9)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 31 · 52 · 62 · 65 · 124 · 130 · 155 · 169 · 260 · 310 · 338 · 403 · 620 · 676 · 806 · 845 · 1612 · 1690 · 2015 · 3380 · 4030 · 5239 · 8060 · 10478 · 20956 · 26195 · 52390 (half) · 104780
Aliquot sum (sum of proper divisors): 141,172
Factor pairs (a × b = 104,780)
1 × 104780
2 × 52390
4 × 26195
5 × 20956
10 × 10478
13 × 8060
20 × 5239
26 × 4030
31 × 3380
52 × 2015
62 × 1690
65 × 1612
124 × 845
130 × 806
155 × 676
169 × 620
260 × 403
310 × 338
First multiples
104,780 · 209,560 (double) · 314,340 · 419,120 · 523,900 · 628,680 · 733,460 · 838,240 · 943,020 · 1,047,800

Sums & aliquot sequence

As consecutive integers: 20,954 + 20,955 + 20,956 + 20,957 + 20,958 13,094 + 13,095 + … + 13,101 8,054 + 8,055 + … + 8,066 3,365 + 3,366 + … + 3,395
Aliquot sequence: 104,780 141,172 114,608 145,792 166,328 164,152 167,408 156,976 147,196 152,852 161,644 177,044 177,100 322,868 373,324 388,276 406,924 — unresolved within range

Continued fraction of √n

√104,780 = [323; (1, 2, 3, 3, 1, 1, 7, 1, 1, 1, 2, 3, 2, 4, 1, 10, 1, 2, 1, 10, 1, 4, 2, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand seven hundred eighty
Ordinal
104780th
Binary
11001100101001100
Octal
314514
Hexadecimal
0x1994C
Base64
AZlM
One's complement
4,294,862,515 (32-bit)
Scientific notation
1.0478 × 10⁵
As a duration
104,780 s = 1 day, 5 hours, 6 minutes, 20 seconds
In other bases
ternary (3) 12022201202
quaternary (4) 121211030
quinary (5) 11323110
senary (6) 2125032
septenary (7) 614324
nonary (9) 168652
undecimal (11) 717a5
duodecimal (12) 50778
tridecimal (13) 38900
tetradecimal (14) 2a284
pentadecimal (15) 210a5

As an angle

104,780° = 291 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδψπʹ
Mayan (base 20)
𝋭·𝋡·𝋳·𝋠
Chinese
一十萬四千七百八十
Chinese (financial)
壹拾萬肆仟柒佰捌拾
In other modern scripts
Eastern Arabic ١٠٤٧٨٠ Devanagari १०४७८० Bengali ১০৪৭৮০ Tamil ௧௦௪௭௮௦ Thai ๑๐๔๗๘๐ Tibetan ༡༠༤༧༨༠ Khmer ១០៤៧៨០ Lao ໑໐໔໗໘໐ Burmese ၁၀၄၇၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104780, here are decompositions:

  • 7 + 104773 = 104780
  • 19 + 104761 = 104780
  • 37 + 104743 = 104780
  • 73 + 104707 = 104780
  • 79 + 104701 = 104780
  • 97 + 104683 = 104780
  • 103 + 104677 = 104780
  • 157 + 104623 = 104780

Showing the first eight; more decompositions exist.

Hex color
#01994C
RGB(1, 153, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.76.

Address
0.1.153.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.76

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 104,780 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 104780 first appears in π at position 516,724 of the decimal expansion (the 516,724ordinal-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

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