Live analysis

106,992

106,992 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.).

106,992 (one hundred six thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 743. Its proper divisors sum to 192,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1F0.

Abundant Number Evil Number Gapful Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

106,980 106,981 106,982 106,983 106,984 106,985 106,986 106,987 106,988 106,989 106,990 106,991 106,992 106,993 106,994 106,995 106,996 106,997 106,998 106,999 107,000 107,001 107,002 107,003 107,004

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 299,601
Recamán's sequence: a(82,039) = 106,992
Square (n²): 11,447,288,064
Cube (n³): 1,224,768,244,543,488
Divisor count: 30
σ(n) — sum of divisors: 299,832
φ(n) — Euler's totient: 35,616
Sum of prime factors: 757

Primality

Prime factorization: 2 ⁴ × 3 ² × 743

Nearest primes: 106,979 (−13) · 106,993 (+1)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 743 · 1486 · 2229 · 2972 · 4458 · 5944 · 6687 · 8916 · 11888 · 13374 · 17832 · 26748 · 35664 · 53496 (half) · 106992

Aliquot sum (sum of proper divisors): 192,840

Factor pairs (a × b = 106,992)

1 × 106992

2 × 53496

3 × 35664

4 × 26748

6 × 17832

8 × 13374

9 × 11888

12 × 8916

16 × 6687

18 × 5944

24 × 4458

36 × 2972

48 × 2229

72 × 1486

144 × 743

First multiples

106,992 · 213,984 (double) · 320,976 · 427,968 · 534,960 · 641,952 · 748,944 · 855,936 · 962,928 · 1,069,920

Sums & aliquot sequence

As consecutive integers: 35,663 + 35,664 + 35,665 11,884 + 11,885 + … + 11,892 3,328 + 3,329 + … + 3,359 1,067 + 1,068 + … + 1,162

Aliquot sequence: 106,992 → 192,840 → 386,040 → 772,440 → 1,616,520 → 3,495,480 → 6,991,320 → 18,863,880 → 49,668,600 → 104,305,920 → 243,599,232 → 403,462,248 → 749,287,512 → 1,416,270,168 → 2,465,691,552 → 4,709,220,192 → 9,264,898,512 — unresolved within range

Continued fraction of √n

√106,992 = [327; (10, 2, 1, 1, 1, 1, 2, 6, 2, 1, 3, 4, 3, 1, 2, 6, 2, 1, 1, 1, 1, 2, 10, 654)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one hundred six thousand nine hundred ninety-two
Ordinal: 106992nd
Binary: 11010000111110000
Octal: 320760
Hexadecimal: 0x1A1F0
Base64: AaHw
One's complement: 4,294,860,303 (32-bit)
Scientific notation: 1.06992 × 10⁵
As a duration: 106,992 s = 1 day, 5 hours, 43 minutes, 12 seconds

In other bases

ternary (3) 12102202200

quaternary (4) 122013300

quinary (5) 11410432

senary (6) 2143200

septenary (7) 623634

nonary (9) 172680

undecimal (11) 73426

duodecimal (12) 51b00

tridecimal (13) 39912

tetradecimal (14) 2adc4

pentadecimal (15) 21a7c

As an angle

106,992° = 297 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρϛϡϟβʹ
Mayan (base 20): 𝋭·𝋧·𝋩·𝋬
Chinese: 十萬六千九百九十二
Chinese (financial): 壹拾萬陸仟玖佰玖拾貳

In other modern scripts

Eastern Arabic ١٠٦٩٩٢ Devanagari १०६९९२ Bengali ১০৬৯৯২ Tamil ௧௦௬௯௯௨ Thai ๑๐๖๙๙๒ Tibetan ༡༠༦༩༩༢ Khmer ១០៦៩៩២ Lao ໑໐໖໙໙໒ Burmese ၁၀၆၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106992, here are decompositions:

13 + 106979 = 106992
29 + 106963 = 106992
31 + 106961 = 106992
43 + 106949 = 106992
71 + 106921 = 106992
89 + 106903 = 106992
131 + 106861 = 106992
139 + 106853 = 106992

Showing the first eight; more decompositions exist.

Hex color

#01A1F0

RGB(1, 161, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.240.

Address: 0.1.161.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.161.240

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 106,992 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US106,992 on Google Patents ↗ Look up on USPTO ↗