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104,516

104,516 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.).

104,516 (one hundred four thousand five hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 17 × 29 × 53. Written other ways, in hexadecimal, 0x19844.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven 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
615,401
Recamán's sequence
a(92,159) = 104,516
Square (n²)
10,923,594,256
Cube (n³)
1,141,690,377,260,096
Divisor count
24
σ(n) — sum of divisors
204,120
φ(n) — Euler's totient
46,592
Sum of prime factors
103

Primality

Prime factorization: 2 2 × 17 × 29 × 53

Nearest primes: 104,513 (−3) · 104,527 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 17 · 29 · 34 · 53 · 58 · 68 · 106 · 116 · 212 · 493 · 901 · 986 · 1537 · 1802 · 1972 · 3074 · 3604 · 6148 · 26129 · 52258 (half) · 104516
Aliquot sum (sum of proper divisors): 99,604
Factor pairs (a × b = 104,516)
1 × 104516
2 × 52258
4 × 26129
17 × 6148
29 × 3604
34 × 3074
53 × 1972
58 × 1802
68 × 1537
106 × 986
116 × 901
212 × 493
First multiples
104,516 · 209,032 (double) · 313,548 · 418,064 · 522,580 · 627,096 · 731,612 · 836,128 · 940,644 · 1,045,160

Sums & aliquot sequence

As a sum of two squares: 46² + 320² = 110² + 304² = 130² + 296² = 200² + 254²
As consecutive integers: 13,061 + 13,062 + … + 13,068 6,140 + 6,141 + … + 6,156 3,590 + 3,591 + … + 3,618 1,946 + 1,947 + … + 1,998
Aliquot sequence: 104,516 99,604 79,680 176,352 331,680 714,624 1,184,616 2,023,914 2,110,614 2,551,530 3,933,654 3,953,706 4,065,942 4,065,954 4,178,238 4,178,250 7,428,150 — unresolved within range

Continued fraction of √n

√104,516 = [323; (3, 2, 5, 5, 6, 3, 1, 1, 1, 49, 10, 12, 10, 49, 1, 1, 1, 3, 6, 5, 5, 2, 3, 646)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand five hundred sixteen
Ordinal
104516th
Binary
11001100001000100
Octal
314104
Hexadecimal
0x19844
Base64
AZhE
One's complement
4,294,862,779 (32-bit)
Scientific notation
1.04516 × 10⁵
As a duration
104,516 s = 1 day, 5 hours, 1 minute, 56 seconds
In other bases
ternary (3) 12022100222
quaternary (4) 121201010
quinary (5) 11321031
senary (6) 2123512
septenary (7) 613466
nonary (9) 168328
undecimal (11) 71585
duodecimal (12) 50598
tridecimal (13) 38759
tetradecimal (14) 2a136
pentadecimal (15) 20e7b

As an angle

104,516° = 290 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδφιϛʹ
Mayan (base 20)
𝋭·𝋡·𝋥·𝋰
Chinese
一十萬四千五百一十六
Chinese (financial)
壹拾萬肆仟伍佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٤٥١٦ Devanagari १०४५१६ Bengali ১০৪৫১৬ Tamil ௧௦௪௫௧௬ Thai ๑๐๔๕๑๖ Tibetan ༡༠༤༥༡༦ Khmer ១០៤៥១៦ Lao ໑໐໔໕໑໖ Burmese ၁၀၄၅၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104516, here are decompositions:

  • 3 + 104513 = 104516
  • 37 + 104479 = 104516
  • 43 + 104473 = 104516
  • 193 + 104323 = 104516
  • 229 + 104287 = 104516
  • 277 + 104239 = 104516
  • 283 + 104233 = 104516
  • 337 + 104179 = 104516

Showing the first eight; more decompositions exist.

Hex color
#019844
RGB(1, 152, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.68.

Address
0.1.152.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.68

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 104,516 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 104516 first appears in π at position 137,301 of the decimal expansion (the 137,301ordinal-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.