Live analysis

107,028

107,028 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.).

107,028 (one hundred seven thousand twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 991. Its proper divisors sum to 170,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A214.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

107,016 107,017 107,018 107,019 107,020 107,021 107,022 107,023 107,024 107,025 107,026 107,027 107,028 107,029 107,030 107,031 107,032 107,033 107,034 107,035 107,036 107,037 107,038 107,039 107,040

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 820,701
Recamán's sequence: a(45,687) = 107,028
Square (n²): 11,454,992,784
Cube (n³): 1,226,004,967,685,952
Divisor count: 24
σ(n) — sum of divisors: 277,760
φ(n) — Euler's totient: 35,640
Sum of prime factors: 1,004

Primality

Prime factorization: 2 ² × 3 ³ × 991

Nearest primes: 107,021 (−7) · 107,033 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 108 · 991 · 1982 · 2973 · 3964 · 5946 · 8919 · 11892 · 17838 · 26757 · 35676 · 53514 (half) · 107028

Aliquot sum (sum of proper divisors): 170,732

Factor pairs (a × b = 107,028)

1 × 107028

2 × 53514

3 × 35676

4 × 26757

6 × 17838

9 × 11892

12 × 8919

18 × 5946

27 × 3964

36 × 2973

54 × 1982

108 × 991

First multiples

107,028 · 214,056 (double) · 321,084 · 428,112 · 535,140 · 642,168 · 749,196 · 856,224 · 963,252 · 1,070,280

Sums & aliquot sequence

As consecutive integers: 35,675 + 35,676 + 35,677 13,375 + 13,376 + … + 13,382 11,888 + 11,889 + … + 11,896 4,448 + 4,449 + … + 4,471

Aliquot sequence: 107,028 → 170,732 → 128,056 → 112,064 → 125,680 → 166,712 → 219,688 → 251,192 → 247,768 → 216,812 → 168,748 → 126,568 → 129,212 → 96,916 → 72,694 → 42,146 → 25,978 — unresolved within range

Continued fraction of √n

√107,028 = [327; (6, 1, 1, 1, 1, 4, 1, 2, 28, 10, 1, 2, 4, 4, 3, 5, 3, 1, 1, 8, 24, 8, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one hundred seven thousand twenty-eight
Ordinal: 107028th
Binary: 11010001000010100
Octal: 321024
Hexadecimal: 0x1A214
Base64: AaIU
One's complement: 4,294,860,267 (32-bit)
Scientific notation: 1.07028 × 10⁵
As a duration: 107,028 s = 1 day, 5 hours, 43 minutes, 48 seconds

In other bases

ternary (3) 12102211000

quaternary (4) 122020110

quinary (5) 11411103

senary (6) 2143300

septenary (7) 624015

nonary (9) 172730

undecimal (11) 73459

duodecimal (12) 51b30

tridecimal (13) 3993c

tetradecimal (14) 2b00c

pentadecimal (15) 21aa3

As an angle

107,028° = 297 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρζκηʹ
Mayan (base 20): 𝋭·𝋧·𝋫·𝋨
Chinese: 十萬七千零二十八
Chinese (financial): 壹拾萬柒仟零貳拾捌

In other modern scripts

Eastern Arabic ١٠٧٠٢٨ Devanagari १०७०२८ Bengali ১০৭০২৮ Tamil ௧௦௭௦௨௮ Thai ๑๐๗๐๒๘ Tibetan ༡༠༧༠༢༨ Khmer ១០៧០២៨ Lao ໑໐໗໐໒໘ Burmese ၁၀၇၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107028, here are decompositions:

7 + 107021 = 107028
67 + 106961 = 107028
71 + 106957 = 107028
79 + 106949 = 107028
107 + 106921 = 107028
151 + 106877 = 107028
157 + 106871 = 107028
167 + 106861 = 107028

Showing the first eight; more decompositions exist.

Hex color

#01A214

RGB(1, 162, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.20.

Address: 0.1.162.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.162.20

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 107,028 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 US107,028 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 107028 first appears in π at position 348,362 of the decimal expansion (the 348,362ordinal-suffix:nd 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.

Look up 107028 on Pi Search ↗