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109,716

109,716 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.).

109,716 (one hundred nine thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 41 × 223. Its proper divisors sum to 153,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AC94.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
617,901
Recamán's sequence
a(249,864) = 109,716
Square (n²)
12,037,600,656
Cube (n³)
1,320,717,393,573,696
Divisor count
24
σ(n) — sum of divisors
263,424
φ(n) — Euler's totient
35,520
Sum of prime factors
271

Primality

Prime factorization: 2 2 × 3 × 41 × 223

Nearest primes: 109,673 (−43) · 109,717 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 41 · 82 · 123 · 164 · 223 · 246 · 446 · 492 · 669 · 892 · 1338 · 2676 · 9143 · 18286 · 27429 · 36572 · 54858 (half) · 109716
Aliquot sum (sum of proper divisors): 153,708
Factor pairs (a × b = 109,716)
1 × 109716
2 × 54858
3 × 36572
4 × 27429
6 × 18286
12 × 9143
41 × 2676
82 × 1338
123 × 892
164 × 669
223 × 492
246 × 446
First multiples
109,716 · 219,432 (double) · 329,148 · 438,864 · 548,580 · 658,296 · 768,012 · 877,728 · 987,444 · 1,097,160

Sums & aliquot sequence

As consecutive integers: 36,571 + 36,572 + 36,573 13,711 + 13,712 + … + 13,718 4,560 + 4,561 + … + 4,583 2,656 + 2,657 + … + 2,696
Aliquot sequence: 109,716 153,708 204,972 332,628 459,660 862,836 1,305,708 1,799,940 3,300,540 5,941,140 10,908,588 14,719,812 19,626,444 31,857,716 29,214,988 26,559,164 20,113,924 — unresolved within range

Continued fraction of √n

√109,716 = [331; (4, 3, 1, 2, 32, 1, 3, 5, 11, 26, 2, 2, 3, 1, 6, 1, 5, 3, 7, 1, 27, 1, 12, 41, …)]

Representations

In words
one hundred nine thousand seven hundred sixteen
Ordinal
109716th
Binary
11010110010010100
Octal
326224
Hexadecimal
0x1AC94
Base64
AayU
One's complement
4,294,857,579 (32-bit)
Scientific notation
1.09716 × 10⁵
As a duration
109,716 s = 1 day, 6 hours, 28 minutes, 36 seconds
In other bases
ternary (3) 12120111120
quaternary (4) 122302110
quinary (5) 12002331
senary (6) 2203540
septenary (7) 634605
nonary (9) 176446
undecimal (11) 75482
duodecimal (12) 535b0
tridecimal (13) 3ac29
tetradecimal (14) 2bdac
pentadecimal (15) 22796

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρθψιϛʹ
Mayan (base 20)
𝋭·𝋮·𝋥·𝋰
Chinese
一十萬九千七百一十六
Chinese (financial)
壹拾萬玖仟柒佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٩٧١٦ Devanagari १०९७१६ Bengali ১০৯৭১৬ Tamil ௧௦௯௭௧௬ Thai ๑๐๙๗๑๖ Tibetan ༡༠༩༧༡༦ Khmer ១០៩៧១៦ Lao ໑໐໙໗໑໖ Burmese ၁၀၉၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109716, here are decompositions:

  • 43 + 109673 = 109716
  • 53 + 109663 = 109716
  • 97 + 109619 = 109716
  • 107 + 109609 = 109716
  • 127 + 109589 = 109716
  • 137 + 109579 = 109716
  • 149 + 109567 = 109716
  • 179 + 109537 = 109716

Showing the first eight; more decompositions exist.

Hex color
#01AC94
RGB(1, 172, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.172.148.

Address
0.1.172.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.172.148

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 109,716 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 109716 first appears in π at position 651,342 of the decimal expansion (the 651,342ordinal-suffix:nd 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°.