number.wiki
Live analysis

104,440

104,440 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.).

104,440 (one hundred four thousand four hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 373. Its proper divisors sum to 164,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x197F8.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
44,401
Recamán's sequence
a(92,311) = 104,440
Square (n²)
10,907,713,600
Cube (n³)
1,139,201,608,384,000
Divisor count
32
σ(n) — sum of divisors
269,280
φ(n) — Euler's totient
35,712
Sum of prime factors
391

Primality

Prime factorization: 2 3 × 5 × 7 × 373

Nearest primes: 104,417 (−23) · 104,459 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 373 · 746 · 1492 · 1865 · 2611 · 2984 · 3730 · 5222 · 7460 · 10444 · 13055 · 14920 · 20888 · 26110 · 52220 (half) · 104440
Aliquot sum (sum of proper divisors): 164,840
Factor pairs (a × b = 104,440)
1 × 104440
2 × 52220
4 × 26110
5 × 20888
7 × 14920
8 × 13055
10 × 10444
14 × 7460
20 × 5222
28 × 3730
35 × 2984
40 × 2611
56 × 1865
70 × 1492
140 × 746
280 × 373
First multiples
104,440 · 208,880 (double) · 313,320 · 417,760 · 522,200 · 626,640 · 731,080 · 835,520 · 939,960 · 1,044,400

Sums & aliquot sequence

As consecutive integers: 20,886 + 20,887 + 20,888 + 20,889 + 20,890 14,917 + 14,918 + … + 14,923 6,520 + 6,521 + … + 6,535 2,967 + 2,968 + … + 3,001
Aliquot sequence: 104,440 164,840 235,840 385,952 482,944 741,056 729,604 555,596 416,704 461,120 745,888 989,888 974,548 820,812 1,122,724 842,050 867,662 — unresolved within range

Continued fraction of √n

√104,440 = [323; (5, 1, 4, 1, 1, 2, 20, 2, 5, 2, 1, 71, 7, 1, 2, 7, 1, 1, 1, 2, 1, 1, 15, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand four hundred forty
Ordinal
104440th
Binary
11001011111111000
Octal
313770
Hexadecimal
0x197F8
Base64
AZf4
One's complement
4,294,862,855 (32-bit)
Scientific notation
1.0444 × 10⁵
As a duration
104,440 s = 1 day, 5 hours, 40 seconds
In other bases
ternary (3) 12022021011
quaternary (4) 121133320
quinary (5) 11320230
senary (6) 2123304
septenary (7) 613330
nonary (9) 168234
undecimal (11) 71516
duodecimal (12) 50534
tridecimal (13) 386cb
tetradecimal (14) 2a0c0
pentadecimal (15) 20e2a

As an angle

104,440° = 290 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδυμʹ
Mayan (base 20)
𝋭·𝋡·𝋢·𝋠
Chinese
一十萬四千四百四十
Chinese (financial)
壹拾萬肆仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠٤٤٤٠ Devanagari १०४४४० Bengali ১০৪৪৪০ Tamil ௧௦௪௪௪௦ Thai ๑๐๔๔๔๐ Tibetan ༡༠༤༤༤༠ Khmer ១០៤៤៤០ Lao ໑໐໔໔໔໐ Burmese ၁၀၄၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104440, here are decompositions:

  • 23 + 104417 = 104440
  • 41 + 104399 = 104440
  • 47 + 104393 = 104440
  • 59 + 104381 = 104440
  • 71 + 104369 = 104440
  • 113 + 104327 = 104440
  • 131 + 104309 = 104440
  • 197 + 104243 = 104440

Showing the first eight; more decompositions exist.

Hex color
#0197F8
RGB(1, 151, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.248.

Address
0.1.151.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.248

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 104,440 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