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104,200

104,200 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.).

104,200 (one hundred four thousand two hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 521. Its proper divisors sum to 138,530, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19708.

Abundant Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
2,401
Recamán's sequence
a(93,703) = 104,200
Square (n²)
10,857,640,000
Cube (n³)
1,131,366,088,000,000
Divisor count
24
σ(n) — sum of divisors
242,730
φ(n) — Euler's totient
41,600
Sum of prime factors
537

Primality

Prime factorization: 2 3 × 5 2 × 521

Nearest primes: 104,183 (−17) · 104,207 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 521 · 1042 · 2084 · 2605 · 4168 · 5210 · 10420 · 13025 · 20840 · 26050 · 52100 (half) · 104200
Aliquot sum (sum of proper divisors): 138,530
Factor pairs (a × b = 104,200)
1 × 104200
2 × 52100
4 × 26050
5 × 20840
8 × 13025
10 × 10420
20 × 5210
25 × 4168
40 × 2605
50 × 2084
100 × 1042
200 × 521
First multiples
104,200 · 208,400 (double) · 312,600 · 416,800 · 521,000 · 625,200 · 729,400 · 833,600 · 937,800 · 1,042,000

Sums & aliquot sequence

As a sum of two squares: 90² + 310² = 114² + 302² = 194² + 258²
As consecutive integers: 20,838 + 20,839 + 20,840 + 20,841 + 20,842 6,505 + 6,506 + … + 6,520 4,156 + 4,157 + … + 4,180 1,263 + 1,264 + … + 1,342
Aliquot sequence: 104,200 138,530 146,590 121,682 77,470 65,378 33,994 19,286 9,646 8,498 6,094 3,914 2,326 1,166 778 392 463 — unresolved within range

Continued fraction of √n

√104,200 = [322; (1, 4, 161, 4, 1, 644)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand two hundred
Ordinal
104200th
Binary
11001011100001000
Octal
313410
Hexadecimal
0x19708
Base64
AZcI
One's complement
4,294,863,095 (32-bit)
Scientific notation
1.042 × 10⁵
As a duration
104,200 s = 1 day, 4 hours, 56 minutes, 40 seconds
In other bases
ternary (3) 12021221021
quaternary (4) 121130020
quinary (5) 11313300
senary (6) 2122224
septenary (7) 612535
nonary (9) 167837
undecimal (11) 71318
duodecimal (12) 50374
tridecimal (13) 38575
tetradecimal (14) 29d8c
pentadecimal (15) 20d1a

As an angle

104,200° = 289 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρδσʹ
Mayan (base 20)
𝋭·𝋠·𝋪·𝋠
Chinese
一十萬四千二百
Chinese (financial)
壹拾萬肆仟貳佰
In other modern scripts
Eastern Arabic ١٠٤٢٠٠ Devanagari १०४२०० Bengali ১০৪২০০ Tamil ௧௦௪௨௦௦ Thai ๑๐๔๒๐๐ Tibetan ༡༠༤༢༠༠ Khmer ១០៤២០០ Lao ໑໐໔໒໐໐ Burmese ၁၀၄၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104200, here are decompositions:

  • 17 + 104183 = 104200
  • 53 + 104147 = 104200
  • 113 + 104087 = 104200
  • 167 + 104033 = 104200
  • 179 + 104021 = 104200
  • 191 + 104009 = 104200
  • 197 + 104003 = 104200
  • 233 + 103967 = 104200

Showing the first eight; more decompositions exist.

Hex color
#019708
RGB(1, 151, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.8.

Address
0.1.151.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.8

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 104,200 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 104200 first appears in π at position 96,337 of the decimal expansion (the 96,337ordinal-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