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109,802

109,802 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.).

109,802 (one hundred nine thousand eight hundred two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 23 × 31. Its proper divisors sum to 111,382, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ACEA.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Smith Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
208,901
Recamán's sequence
a(249,692) = 109,802
Square (n²)
12,056,479,204
Cube (n³)
1,323,825,529,557,608
Divisor count
32
σ(n) — sum of divisors
221,184
φ(n) — Euler's totient
39,600
Sum of prime factors
74

Primality

Prime factorization: 2 × 7 × 11 × 23 × 31

Nearest primes: 109,793 (−9) · 109,807 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 7 · 11 · 14 · 22 · 23 · 31 · 46 · 62 · 77 · 154 · 161 · 217 · 253 · 322 · 341 · 434 · 506 · 682 · 713 · 1426 · 1771 · 2387 · 3542 · 4774 · 4991 · 7843 · 9982 · 15686 · 54901 (half) · 109802
Aliquot sum (sum of proper divisors): 111,382
Factor pairs (a × b = 109,802)
1 × 109802
2 × 54901
7 × 15686
11 × 9982
14 × 7843
22 × 4991
23 × 4774
31 × 3542
46 × 2387
62 × 1771
77 × 1426
154 × 713
161 × 682
217 × 506
253 × 434
322 × 341
First multiples
109,802 · 219,604 (double) · 329,406 · 439,208 · 549,010 · 658,812 · 768,614 · 878,416 · 988,218 · 1,098,020

Sums & aliquot sequence

As consecutive integers: 27,449 + 27,450 + 27,451 + 27,452 15,683 + 15,684 + … + 15,689 9,977 + 9,978 + … + 9,987 4,763 + 4,764 + … + 4,785
Aliquot sequence: 109,802 111,382 55,694 27,850 24,044 18,040 27,320 34,240 48,056 42,064 47,216 51,736 49,064 42,946 22,394 11,200 20,296 — unresolved within range

Continued fraction of √n

√109,802 = [331; (2, 1, 2, 1, 38, 3, 1, 8, 1, 1, 2, 1, 1, 8, 1, 3, 38, 1, 2, 1, 2, 662)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand eight hundred two
Ordinal
109802nd
Binary
11010110011101010
Octal
326352
Hexadecimal
0x1ACEA
Base64
Aazq
One's complement
4,294,857,493 (32-bit)
Scientific notation
1.09802 × 10⁵
As a duration
109,802 s = 1 day, 6 hours, 30 minutes, 2 seconds
In other bases
ternary (3) 12120121202
quaternary (4) 122303222
quinary (5) 12003202
senary (6) 2204202
septenary (7) 635060
nonary (9) 176552
undecimal (11) 75550
duodecimal (12) 53662
tridecimal (13) 3ac94
tetradecimal (14) 2c030
pentadecimal (15) 22802

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρθωβʹ
Mayan (base 20)
𝋭·𝋮·𝋪·𝋢
Chinese
一十萬九千八百零二
Chinese (financial)
壹拾萬玖仟捌佰零貳
In other modern scripts
Eastern Arabic ١٠٩٨٠٢ Devanagari १०९८०२ Bengali ১০৯৮০২ Tamil ௧௦௯௮௦௨ Thai ๑๐๙๘๐๒ Tibetan ༡༠༩༨༠༢ Khmer ១០៩៨០២ Lao ໑໐໙໘໐໒ Burmese ၁၀၉၈၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109802, here are decompositions:

  • 13 + 109789 = 109802
  • 61 + 109741 = 109802
  • 139 + 109663 = 109802
  • 163 + 109639 = 109802
  • 181 + 109621 = 109802
  • 193 + 109609 = 109802
  • 223 + 109579 = 109802
  • 283 + 109519 = 109802

Showing the first eight; more decompositions exist.

Hex color
#01ACEA
RGB(1, 172, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.172.234.

Address
0.1.172.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.172.234

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 109,802 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 109802 first appears in π at position 762,220 of the decimal expansion (the 762,220ordinal-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.