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103,716

103,716 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.).

103,716 (one hundred three thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 43 × 67. Its proper divisors sum to 168,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19524.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number 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
617,301
Recamán's sequence
a(94,967) = 103,716
Square (n²)
10,757,008,656
Cube (n³)
1,115,673,909,765,696
Divisor count
36
σ(n) — sum of divisors
272,272
φ(n) — Euler's totient
33,264
Sum of prime factors
120

Primality

Prime factorization: 2 2 × 3 2 × 43 × 67

Nearest primes: 103,703 (−13) · 103,723 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 43 · 67 · 86 · 129 · 134 · 172 · 201 · 258 · 268 · 387 · 402 · 516 · 603 · 774 · 804 · 1206 · 1548 · 2412 · 2881 · 5762 · 8643 · 11524 · 17286 · 25929 · 34572 · 51858 (half) · 103716
Aliquot sum (sum of proper divisors): 168,556
Factor pairs (a × b = 103,716)
1 × 103716
2 × 51858
3 × 34572
4 × 25929
6 × 17286
9 × 11524
12 × 8643
18 × 5762
36 × 2881
43 × 2412
67 × 1548
86 × 1206
129 × 804
134 × 774
172 × 603
201 × 516
258 × 402
268 × 387
First multiples
103,716 · 207,432 (double) · 311,148 · 414,864 · 518,580 · 622,296 · 726,012 · 829,728 · 933,444 · 1,037,160

Sums & aliquot sequence

As consecutive integers: 34,571 + 34,572 + 34,573 12,961 + 12,962 + … + 12,968 11,520 + 11,521 + … + 11,528 4,310 + 4,311 + … + 4,333
Aliquot sequence: 103,716 168,556 126,424 110,636 94,492 70,876 70,244 60,040 83,960 105,040 160,568 140,512 136,184 128,416 124,466 62,236 46,684 — unresolved within range

Continued fraction of √n

√103,716 = [322; (20, 7, 1, 9, 5, 3, 4, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 3, 3, 3, 31, 1, 9, 3, …)]

Representations

In words
one hundred three thousand seven hundred sixteen
Ordinal
103716th
Binary
11001010100100100
Octal
312444
Hexadecimal
0x19524
Base64
AZUk
One's complement
4,294,863,579 (32-bit)
Scientific notation
1.03716 × 10⁵
As a duration
103,716 s = 1 day, 4 hours, 48 minutes, 36 seconds
In other bases
ternary (3) 12021021100
quaternary (4) 121110210
quinary (5) 11304331
senary (6) 2120100
septenary (7) 611244
nonary (9) 167240
undecimal (11) 70a18
duodecimal (12) 50030
tridecimal (13) 38292
tetradecimal (14) 29b24
pentadecimal (15) 20ae6

As an angle

103,716° = 288 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ργψιϛʹ
Mayan (base 20)
𝋬·𝋳·𝋥·𝋰
Chinese
一十萬三千七百一十六
Chinese (financial)
壹拾萬參仟柒佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٣٧١٦ Devanagari १०३७१६ Bengali ১০৩৭১৬ Tamil ௧௦௩௭௧௬ Thai ๑๐๓๗๑๖ Tibetan ༡༠༣༧༡༦ Khmer ១០៣៧១៦ Lao ໑໐໓໗໑໖ Burmese ၁၀၃၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103716, here are decompositions:

  • 13 + 103703 = 103716
  • 17 + 103699 = 103716
  • 29 + 103687 = 103716
  • 47 + 103669 = 103716
  • 59 + 103657 = 103716
  • 73 + 103643 = 103716
  • 97 + 103619 = 103716
  • 103 + 103613 = 103716

Showing the first eight; more decompositions exist.

Hex color
#019524
RGB(1, 149, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.36.

Address
0.1.149.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.149.36

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 103,716 and was likely granted around 1870.

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

Related reading

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