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104,224

104,224 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.).

104,224 (one hundred four thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,257. Written other ways, in hexadecimal, 0x19720.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
422,401
Recamán's sequence
a(93,655) = 104,224
Square (n²)
10,862,642,176
Cube (n³)
1,132,148,018,151,424
Divisor count
12
σ(n) — sum of divisors
205,254
φ(n) — Euler's totient
52,096
Sum of prime factors
3,267

Primality

Prime factorization: 2 5 × 3257

Nearest primes: 104,207 (−17) · 104,231 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3257 · 6514 · 13028 · 26056 · 52112 (half) · 104224
Aliquot sum (sum of proper divisors): 101,030
Factor pairs (a × b = 104,224)
1 × 104224
2 × 52112
4 × 26056
8 × 13028
16 × 6514
32 × 3257
First multiples
104,224 · 208,448 (double) · 312,672 · 416,896 · 521,120 · 625,344 · 729,568 · 833,792 · 938,016 · 1,042,240

Sums & aliquot sequence

As a sum of two squares: 180² + 268²
As consecutive integers: 1,597 + 1,598 + … + 1,660
Aliquot sequence: 104,224 101,030 80,842 42,134 21,070 24,074 12,040 19,640 24,640 48,512 48,388 36,298 18,152 15,898 7,952 9,904 9,316 — unresolved within range

Continued fraction of √n

√104,224 = [322; (1, 5, 6, 1, 1, 1, 2, 2, 1, 5, 16, 2, 1, 1, 1, 2, 4, 9, 1, 2, 2, 1, 1, 4, …)]

Representations

In words
one hundred four thousand two hundred twenty-four
Ordinal
104224th
Binary
11001011100100000
Octal
313440
Hexadecimal
0x19720
Base64
AZcg
One's complement
4,294,863,071 (32-bit)
Scientific notation
1.04224 × 10⁵
As a duration
104,224 s = 1 day, 4 hours, 57 minutes, 4 seconds
In other bases
ternary (3) 12021222011
quaternary (4) 121130200
quinary (5) 11313344
senary (6) 2122304
septenary (7) 612601
nonary (9) 167864
undecimal (11) 7133a
duodecimal (12) 50394
tridecimal (13) 38593
tetradecimal (14) 29da8
pentadecimal (15) 20d34

As an angle

104,224° = 289 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδσκδʹ
Mayan (base 20)
𝋭·𝋠·𝋫·𝋤
Chinese
一十萬四千二百二十四
Chinese (financial)
壹拾萬肆仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٤٢٢٤ Devanagari १०४२२४ Bengali ১০৪২২৪ Tamil ௧௦௪௨௨௪ Thai ๑๐๔๒๒๔ Tibetan ༡༠༤༢༢༤ Khmer ១០៤២២៤ Lao ໑໐໔໒໒໔ Burmese ၁၀၄၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104224, here are decompositions:

  • 17 + 104207 = 104224
  • 41 + 104183 = 104224
  • 101 + 104123 = 104224
  • 137 + 104087 = 104224
  • 191 + 104033 = 104224
  • 227 + 103997 = 104224
  • 233 + 103991 = 104224
  • 257 + 103967 = 104224

Showing the first eight; more decompositions exist.

Hex color
#019720
RGB(1, 151, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.32.

Address
0.1.151.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.32

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 104,224 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 104224 first appears in π at position 81,584 of the decimal expansion (the 81,584ordinal-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