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106,724

106,724 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.).

106,724 (one hundred six thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 26,681. Written other ways, in hexadecimal, 0x1A0E4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
427,601
Recamán's sequence
a(81,411) = 106,724
Square (n²)
11,390,012,176
Cube (n³)
1,215,587,659,471,424
Divisor count
6
σ(n) — sum of divisors
186,774
φ(n) — Euler's totient
53,360
Sum of prime factors
26,685

Primality

Prime factorization: 2 2 × 26681

Nearest primes: 106,721 (−3) · 106,727 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 26681 · 53362 (half) · 106724
Aliquot sum (sum of proper divisors): 80,050
Factor pairs (a × b = 106,724)
1 × 106724
2 × 53362
4 × 26681
First multiples
106,724 · 213,448 (double) · 320,172 · 426,896 · 533,620 · 640,344 · 747,068 · 853,792 · 960,516 · 1,067,240

Sums & aliquot sequence

As a sum of two squares: 230² + 232²
As consecutive integers: 13,337 + 13,338 + … + 13,344
Aliquot sequence: 106,724 → 80,050 → 68,936 → 78,904 → 90,296 → 79,024 → 88,376 → 77,344 → 74,990 → 60,010 → 54,686 → 29,674 → 16,154 → 8,794 → 4,400 → 7,132 → 5,356 — unresolved within range

Continued fraction of √n

√106,724 = [326; (1, 2, 5, 3, 2, 1, 9, 1, 1, 22, 1, 4, 3, 1, 2, 2, 5, 3, 1, 6, 1, 12, 2, 6, …)]

Representations

In words
one hundred six thousand seven hundred twenty-four
Ordinal
106724th
Binary
11010000011100100
Octal
320344
Hexadecimal
0x1A0E4
Base64
AaDk
One's complement
4,294,860,571 (32-bit)
Scientific notation
1.06724 × 10⁵
As a duration
106,724 s = 1 day, 5 hours, 38 minutes, 44 seconds
In other bases
ternary (3) 12102101202
quaternary (4) 122003210
quinary (5) 11403344
senary (6) 2142032
septenary (7) 623102
nonary (9) 172352
undecimal (11) 73202
duodecimal (12) 51918
tridecimal (13) 39767
tetradecimal (14) 2ac72
pentadecimal (15) 2194e

As an angle

106,724° = 296 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛψκδʹ
Mayan (base 20)
𝋭·𝋦·𝋰·𝋤
Chinese
十萬六千七百二十四
Chinese (financial)
壹拾萬陸仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٦٧٢٤ Devanagari १०६७२४ Bengali ১০৬৭২৪ Tamil ௧௦௬௭௨௪ Thai ๑๐๖๗๒๔ Tibetan ༡༠༦༧༢༤ Khmer ១០៦៧២៤ Lao ໑໐໖໗໒໔ Burmese ၁၀၆၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106724, here are decompositions:

  • 3 + 106721 = 106724
  • 31 + 106693 = 106724
  • 43 + 106681 = 106724
  • 61 + 106663 = 106724
  • 67 + 106657 = 106724
  • 97 + 106627 = 106724
  • 103 + 106621 = 106724
  • 181 + 106543 = 106724

Showing the first eight; more decompositions exist.

Hex color
#01A0E4
RGB(1, 160, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.228.

Address
0.1.160.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.228

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 106,724 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 106724 first appears in π at position 460,839 of the decimal expansion (the 460,839ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.