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107,216

107,216 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.).

107,216 (one hundred seven thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 6,701. Written other ways, in hexadecimal, 0x1A2D0.

Deficient Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
612,701
Recamán's sequence
a(82,487) = 107,216
Square (n²)
11,495,270,656
Cube (n³)
1,232,476,938,653,696
Divisor count
10
σ(n) — sum of divisors
207,762
φ(n) — Euler's totient
53,600
Sum of prime factors
6,709

Primality

Prime factorization: 2 4 × 6701

Nearest primes: 107,209 (−7) · 107,227 (+11)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 6701 · 13402 · 26804 · 53608 (half) · 107216
Aliquot sum (sum of proper divisors): 100,546
Factor pairs (a × b = 107,216)
1 × 107216
2 × 53608
4 × 26804
8 × 13402
16 × 6701
First multiples
107,216 · 214,432 (double) · 321,648 · 428,864 · 536,080 · 643,296 · 750,512 · 857,728 · 964,944 · 1,072,160

Sums & aliquot sequence

As a sum of two squares: 140² + 296²
As consecutive integers: 3,335 + 3,336 + … + 3,366
Aliquot sequence: 107,216 → 100,546 → 50,276 → 37,714 → 19,706 → 10,534 → 6,026 → 3,478 → 1,994 → 1,000 → 1,340 → 1,516 → 1,144 → 1,376 → 1,396 → 1,054 → 674 — unresolved within range

Continued fraction of √n

√107,216 = [327; (2, 3, 1, 1, 3, 5, 1, 1, 3, 3, 1, 3, 1, 1, 1, 12, 1, 2, 1, 1, 1, 1, 2, 2, …)]

Representations

In words
one hundred seven thousand two hundred sixteen
Ordinal
107216th
Binary
11010001011010000
Octal
321320
Hexadecimal
0x1A2D0
Base64
AaLQ
One's complement
4,294,860,079 (32-bit)
Scientific notation
1.07216 × 10⁵
As a duration
107,216 s = 1 day, 5 hours, 46 minutes, 56 seconds
In other bases
ternary (3) 12110001222
quaternary (4) 122023100
quinary (5) 11412331
senary (6) 2144212
septenary (7) 624404
nonary (9) 173058
undecimal (11) 7360a
duodecimal (12) 52068
tridecimal (13) 39a55
tetradecimal (14) 2b104
pentadecimal (15) 21b7b

As an angle

107,216° = 297 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζσιϛʹ
Mayan (base 20)
𝋭·𝋨·𝋠·𝋰
Chinese
十萬七千二百一十六
Chinese (financial)
壹拾萬柒仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٧٢١٦ Devanagari १०७२१६ Bengali ১০৭২১৬ Tamil ௧௦௭௨௧௬ Thai ๑๐๗๒๑๖ Tibetan ༡༠༧༢༡༦ Khmer ១០៧២១៦ Lao ໑໐໗໒໑໖ Burmese ၁၀၇၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107216, here are decompositions:

  • 7 + 107209 = 107216
  • 19 + 107197 = 107216
  • 79 + 107137 = 107216
  • 97 + 107119 = 107216
  • 127 + 107089 = 107216
  • 139 + 107077 = 107216
  • 163 + 107053 = 107216
  • 223 + 106993 = 107216

Showing the first eight; more decompositions exist.

Hex color
#01A2D0
RGB(1, 162, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.208.

Address
0.1.162.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.208

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 107,216 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 107216 first appears in π at position 875,901 of the decimal expansion (the 875,901ordinal-suffix:st 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.