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106,412

106,412 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.).

106,412 (one hundred six thousand four hundred twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 37 × 719. Written other ways, in hexadecimal, 0x19FAC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
214,601
Recamán's sequence
a(252,356) = 106,412
Square (n²)
11,323,513,744
Cube (n³)
1,204,957,744,526,528
Divisor count
12
σ(n) — sum of divisors
191,520
φ(n) — Euler's totient
51,696
Sum of prime factors
760

Primality

Prime factorization: 2 2 × 37 × 719

Nearest primes: 106,411 (−1) · 106,417 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 37 · 74 · 148 · 719 · 1438 · 2876 · 26603 · 53206 (half) · 106412
Aliquot sum (sum of proper divisors): 85,108
Factor pairs (a × b = 106,412)
1 × 106412
2 × 53206
4 × 26603
37 × 2876
74 × 1438
148 × 719
First multiples
106,412 · 212,824 (double) · 319,236 · 425,648 · 532,060 · 638,472 · 744,884 · 851,296 · 957,708 · 1,064,120

Sums & aliquot sequence

As consecutive integers: 13,298 + 13,299 + … + 13,305 2,858 + 2,859 + … + 2,894 212 + 213 + … + 507
Aliquot sequence: 106,412 → 85,108 → 63,838 → 33,722 → 20,794 → 11,354 → 8,134 → 6,230 → 6,730 → 5,402 → 3,034 → 1,754 → 880 → 1,352 → 1,393 → 207 → 105 — unresolved within range

Continued fraction of √n

√106,412 = [326; (4, 1, 3, 1, 8, 2, 1, 1, 14, 4, 3, 4, 2, 4, 1, 16, 1, 4, 2, 4, 3, 4, 14, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand four hundred twelve
Ordinal
106412th
Binary
11001111110101100
Octal
317654
Hexadecimal
0x19FAC
Base64
AZ+s
One's complement
4,294,860,883 (32-bit)
Scientific notation
1.06412 × 10⁵
As a duration
106,412 s = 1 day, 5 hours, 33 minutes, 32 seconds
In other bases
ternary (3) 12101222012
quaternary (4) 121332230
quinary (5) 11401122
senary (6) 2140352
septenary (7) 622145
nonary (9) 171865
undecimal (11) 72a49
duodecimal (12) 516b8
tridecimal (13) 39587
tetradecimal (14) 2aacc
pentadecimal (15) 217e2

As an angle

106,412° = 295 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρϛυιβʹ
Mayan (base 20)
𝋭·𝋦·𝋠·𝋬
Chinese
十萬六千四百一十二
Chinese (financial)
壹拾萬陸仟肆佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٦٤١٢ Devanagari १०६४१२ Bengali ১০৬৪১২ Tamil ௧௦௬௪௧௨ Thai ๑๐๖๔๑๒ Tibetan ༡༠༦༤༡༢ Khmer ១០៦៤១២ Lao ໑໐໖໔໑໒ Burmese ၁၀၆၄၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106412, here are decompositions:

  • 109 + 106303 = 106412
  • 139 + 106273 = 106412
  • 151 + 106261 = 106412
  • 193 + 106219 = 106412
  • 199 + 106213 = 106412
  • 223 + 106189 = 106412
  • 283 + 106129 = 106412
  • 379 + 106033 = 106412

Showing the first eight; more decompositions exist.

Hex color
#019FAC
RGB(1, 159, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.172.

Address
0.1.159.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.159.172

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 106,412 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 106412 first appears in π at position 474,040 of the decimal expansion (the 474,040ordinal-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.