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106,504

106,504 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.).

106,504 (one hundred six thousand five hundred four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 13,313. Written other ways, in hexadecimal, 0x1A008.

Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
405,601
Recamán's sequence
a(88,179) = 106,504
Square (n²)
11,343,102,016
Cube (n³)
1,208,085,737,112,064
Divisor count
8
σ(n) — sum of divisors
199,710
φ(n) — Euler's totient
53,248
Sum of prime factors
13,319

Primality

Prime factorization: 2 3 × 13313

Nearest primes: 106,501 (−3) · 106,531 (+27)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 13313 · 26626 · 53252 (half) · 106504
Aliquot sum (sum of proper divisors): 93,206
Factor pairs (a × b = 106,504)
1 × 106504
2 × 53252
4 × 26626
8 × 13313
First multiples
106,504 · 213,008 (double) · 319,512 · 426,016 · 532,520 · 639,024 · 745,528 · 852,032 · 958,536 · 1,065,040

Sums & aliquot sequence

As a sum of two squares: 102² + 310²
As consecutive integers: 6,649 + 6,650 + … + 6,664
Aliquot sequence: 106,504 → 93,206 → 51,514 → 27,686 → 14,554 → 8,486 → 4,246 → 2,738 → 1,483 → 1 → 0 — terminates at zero

Continued fraction of √n

√106,504 = [326; (2, 1, 6, 4, 1, 10, 13, 1, 3, 1, 6, 1, 2, 2, 1, 1, 4, 4, 20, 1, 4, 2, 17, 1, …)]

Representations

In words
one hundred six thousand five hundred four
Ordinal
106504th
Binary
11010000000001000
Octal
320010
Hexadecimal
0x1A008
Base64
AaAI
One's complement
4,294,860,791 (32-bit)
Scientific notation
1.06504 × 10⁵
As a duration
106,504 s = 1 day, 5 hours, 35 minutes, 4 seconds
In other bases
ternary (3) 12102002121
quaternary (4) 122000020
quinary (5) 11402004
senary (6) 2141024
septenary (7) 622336
nonary (9) 172077
undecimal (11) 73022
duodecimal (12) 51774
tridecimal (13) 39628
tetradecimal (14) 2ab56
pentadecimal (15) 21854

As an angle

106,504° = 295 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛφδʹ
Mayan (base 20)
𝋭·𝋦·𝋥·𝋤
Chinese
十萬六千五百零四
Chinese (financial)
壹拾萬陸仟伍佰零肆
In other modern scripts
Eastern Arabic ١٠٦٥٠٤ Devanagari १०६५०४ Bengali ১০৬৫০৪ Tamil ௧௦௬௫௦௪ Thai ๑๐๖๕๐๔ Tibetan ༡༠༦༥༠༤ Khmer ១០៦៥០៤ Lao ໑໐໖໕໐໔ Burmese ၁၀၆၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106504, here are decompositions:

  • 3 + 106501 = 106504
  • 17 + 106487 = 106504
  • 53 + 106451 = 106504
  • 71 + 106433 = 106504
  • 107 + 106397 = 106504
  • 113 + 106391 = 106504
  • 131 + 106373 = 106504
  • 137 + 106367 = 106504

Showing the first eight; more decompositions exist.

Hex color
#01A008
RGB(1, 160, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.8.

Address
0.1.160.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.8

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 106,504 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 106504 first appears in π at position 55,429 of the decimal expansion (the 55,429ordinal-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