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104,420

104,420 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.).

104,420 (one hundred four thousand four hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 23 × 227. Its proper divisors sum to 125,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x197E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
24,401
Recamán's sequence
a(92,351) = 104,420
Square (n²)
10,903,536,400
Cube (n³)
1,138,547,270,888,000
Divisor count
24
σ(n) — sum of divisors
229,824
φ(n) — Euler's totient
39,776
Sum of prime factors
259

Primality

Prime factorization: 2 2 × 5 × 23 × 227

Nearest primes: 104,417 (−3) · 104,459 (+39)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 23 · 46 · 92 · 115 · 227 · 230 · 454 · 460 · 908 · 1135 · 2270 · 4540 · 5221 · 10442 · 20884 · 26105 · 52210 (half) · 104420
Aliquot sum (sum of proper divisors): 125,404
Factor pairs (a × b = 104,420)
1 × 104420
2 × 52210
4 × 26105
5 × 20884
10 × 10442
20 × 5221
23 × 4540
46 × 2270
92 × 1135
115 × 908
227 × 460
230 × 454
First multiples
104,420 · 208,840 (double) · 313,260 · 417,680 · 522,100 · 626,520 · 730,940 · 835,360 · 939,780 · 1,044,200

Sums & aliquot sequence

As consecutive integers: 20,882 + 20,883 + 20,884 + 20,885 + 20,886 13,049 + 13,050 + … + 13,056 4,529 + 4,530 + … + 4,551 2,591 + 2,592 + … + 2,630
Aliquot sequence: 104,420 125,404 96,860 114,820 126,344 124,756 93,574 62,666 31,336 27,434 20,086 13,430 12,490 10,010 14,182 10,154 5,080 — unresolved within range

Continued fraction of √n

√104,420 = [323; (7, 9, 1, 21, 2, 1, 1, 1, 1, 12, 1, 1, 2, 1, 6, 2, 1, 1, 2, 3, 2, 3, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand four hundred twenty
Ordinal
104420th
Binary
11001011111100100
Octal
313744
Hexadecimal
0x197E4
Base64
AZfk
One's complement
4,294,862,875 (32-bit)
Scientific notation
1.0442 × 10⁵
As a duration
104,420 s = 1 day, 5 hours, 20 seconds
In other bases
ternary (3) 12022020102
quaternary (4) 121133210
quinary (5) 11320140
senary (6) 2123232
septenary (7) 613301
nonary (9) 168212
undecimal (11) 714a8
duodecimal (12) 50518
tridecimal (13) 386b4
tetradecimal (14) 2a0a8
pentadecimal (15) 20e15

As an angle

104,420° = 290 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρδυκʹ
Mayan (base 20)
𝋭·𝋡·𝋡·𝋠
Chinese
一十萬四千四百二十
Chinese (financial)
壹拾萬肆仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٤٢٠ Devanagari १०४४२० Bengali ১০৪৪২০ Tamil ௧௦௪௪௨௦ Thai ๑๐๔๔๒๐ Tibetan ༡༠༤༤༢༠ Khmer ១០៤៤២០ Lao ໑໐໔໔໒໐ Burmese ၁၀၄၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104420, here are decompositions:

  • 3 + 104417 = 104420
  • 37 + 104383 = 104420
  • 73 + 104347 = 104420
  • 97 + 104323 = 104420
  • 109 + 104311 = 104420
  • 139 + 104281 = 104420
  • 181 + 104239 = 104420
  • 241 + 104179 = 104420

Showing the first eight; more decompositions exist.

Hex color
#0197E4
RGB(1, 151, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.228.

Address
0.1.151.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.228

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 104,420 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.