number.wiki
Live analysis

106,731

106,731 is a composite number, odd.

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.).

106,731 (one hundred six thousand seven hundred thirty-one) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3³ × 59 × 67. Written other ways, in hexadecimal, 0x1A0EB.

Arithmetic Number Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
137,601
Recamán's sequence
a(81,397) = 106,731
Square (n²)
11,391,506,361
Cube (n³)
1,215,826,865,415,891
Divisor count
16
σ(n) — sum of divisors
163,200
φ(n) — Euler's totient
68,904
Sum of prime factors
135

Primality

Prime factorization: 3 3 × 59 × 67

Nearest primes: 106,727 (−4) · 106,739 (+8)

Divisors & multiples

All divisors (16)
1 · 3 · 9 · 27 · 59 · 67 · 177 · 201 · 531 · 603 · 1593 · 1809 · 3953 · 11859 · 35577 · 106731
Aliquot sum (sum of proper divisors): 56,469
Factor pairs (a × b = 106,731)
1 × 106731
3 × 35577
9 × 11859
27 × 3953
59 × 1809
67 × 1593
177 × 603
201 × 531
First multiples
106,731 · 213,462 (double) · 320,193 · 426,924 · 533,655 · 640,386 · 747,117 · 853,848 · 960,579 · 1,067,310

Sums & aliquot sequence

As consecutive integers: 53,365 + 53,366 35,576 + 35,577 + 35,578 17,786 + 17,787 + 17,788 + 17,789 + 17,790 + 17,791 11,855 + 11,856 + … + 11,863
Aliquot sequence: 106,731 → 56,469 → 29,611 → 1 → 0 — terminates at zero

Continued fraction of √n

√106,731 = [326; (1, 2, 3, 3, 6, 2, 1, 2, 1, 12, 1, 1, 1, 1, 5, 1, 325, 1, 5, 1, 1, 1, 1, 12, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand seven hundred thirty-one
Ordinal
106731st
Binary
11010000011101011
Octal
320353
Hexadecimal
0x1A0EB
Base64
AaDr
One's complement
4,294,860,564 (32-bit)
Scientific notation
1.06731 × 10⁵
As a duration
106,731 s = 1 day, 5 hours, 38 minutes, 51 seconds
In other bases
ternary (3) 12102102000
quaternary (4) 122003223
quinary (5) 11403411
senary (6) 2142043
septenary (7) 623112
nonary (9) 172360
undecimal (11) 73209
duodecimal (12) 51923
tridecimal (13) 39771
tetradecimal (14) 2ac79
pentadecimal (15) 21956

As an angle

106,731° = 296 × 360° + 171°
171° ≈ 2.985 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρϛψλαʹ
Mayan (base 20)
𝋭·𝋦·𝋰·𝋫
Chinese
十萬六千七百三十一
Chinese (financial)
壹拾萬陸仟柒佰參拾壹
In other modern scripts
Eastern Arabic ١٠٦٧٣١ Devanagari १०६७३१ Bengali ১০৬৭৩১ Tamil ௧௦௬௭௩௧ Thai ๑๐๖๗๓๑ Tibetan ༡༠༦༧༣༡ Khmer ១០៦៧៣១ Lao ໑໐໖໗໓໑ Burmese ၁၀၆၇၃၁

Also seen as

Hex color
#01A0EB
RGB(1, 160, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.235.

Address
0.1.160.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.235

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 106,731 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 106731 first appears in π at position 697,156 of the decimal expansion (the 697,156ordinal-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

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