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110,952

110,952 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.).

110,952 (one hundred ten thousand nine hundred fifty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 23 × 67. Its proper divisors sum to 207,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B168.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
259,011
Recamán's sequence
a(49,335) = 110,952
Square (n²)
12,310,346,304
Cube (n³)
1,365,857,543,121,408
Divisor count
48
σ(n) — sum of divisors
318,240
φ(n) — Euler's totient
34,848
Sum of prime factors
102

Primality

Prime factorization: 2 3 × 3 2 × 23 × 67

Nearest primes: 110,951 (−1) · 110,969 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 23 · 24 · 36 · 46 · 67 · 69 · 72 · 92 · 134 · 138 · 184 · 201 · 207 · 268 · 276 · 402 · 414 · 536 · 552 · 603 · 804 · 828 · 1206 · 1541 · 1608 · 1656 · 2412 · 3082 · 4623 · 4824 · 6164 · 9246 · 12328 · 13869 · 18492 · 27738 · 36984 · 55476 (half) · 110952
Aliquot sum (sum of proper divisors): 207,288
Factor pairs (a × b = 110,952)
1 × 110952
2 × 55476
3 × 36984
4 × 27738
6 × 18492
8 × 13869
9 × 12328
12 × 9246
18 × 6164
23 × 4824
24 × 4623
36 × 3082
46 × 2412
67 × 1656
69 × 1608
72 × 1541
92 × 1206
134 × 828
138 × 804
184 × 603
201 × 552
207 × 536
268 × 414
276 × 402
First multiples
110,952 · 221,904 (double) · 332,856 · 443,808 · 554,760 · 665,712 · 776,664 · 887,616 · 998,568 · 1,109,520

Sums & aliquot sequence

As consecutive integers: 36,983 + 36,984 + 36,985 12,324 + 12,325 + … + 12,332 6,927 + 6,928 + … + 6,942 4,813 + 4,814 + … + 4,835
Aliquot sequence: 110,952 207,288 354,312 831,288 1,357,512 2,506,488 3,805,272 6,946,728 10,982,232 18,761,508 28,663,506 33,743,358 48,060,162 58,740,318 105,583,842 180,153,246 263,302,242 — unresolved within range

Continued fraction of √n

√110,952 = [333; (10, 1, 1, 2, 1, 12, 1, 7, 3, 2, 1, 3, 4, 8, 1, 8, 4, 3, 1, 2, 3, 7, 1, 12, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand nine hundred fifty-two
Ordinal
110952nd
Binary
11011000101101000
Octal
330550
Hexadecimal
0x1B168
Base64
AbFo
One's complement
4,294,856,343 (32-bit)
Scientific notation
1.10952 × 10⁵
As a duration
110,952 s = 1 day, 6 hours, 49 minutes, 12 seconds
In other bases
ternary (3) 12122012100
quaternary (4) 123011220
quinary (5) 12022302
senary (6) 2213400
septenary (7) 641322
nonary (9) 178170
undecimal (11) 763a6
duodecimal (12) 54260
tridecimal (13) 3b66a
tetradecimal (14) 2c612
pentadecimal (15) 22d1c

As an angle

110,952° = 308 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριϡνβʹ
Mayan (base 20)
𝋭·𝋱·𝋧·𝋬
Chinese
一十一萬零九百五十二
Chinese (financial)
壹拾壹萬零玖佰伍拾貳
In other modern scripts
Eastern Arabic ١١٠٩٥٢ Devanagari ११०९५२ Bengali ১১০৯৫২ Tamil ௧௧௦௯௫௨ Thai ๑๑๐๙๕๒ Tibetan ༡༡༠༩༥༢ Khmer ១១០៩៥២ Lao ໑໑໐໙໕໒ Burmese ၁၁၀၉၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110952, here are decompositions:

  • 5 + 110947 = 110952
  • 13 + 110939 = 110952
  • 19 + 110933 = 110952
  • 29 + 110923 = 110952
  • 31 + 110921 = 110952
  • 43 + 110909 = 110952
  • 53 + 110899 = 110952
  • 71 + 110881 = 110952

Showing the first eight; more decompositions exist.

Hex color
#01B168
RGB(1, 177, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.104.

Address
0.1.177.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.104

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 110,952 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 110952 first appears in π at position 242,813 of the decimal expansion (the 242,813ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.