Live analysis

105,672

105,672 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.).

105,672 (one hundred five thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 17 × 37. Its proper divisors sum to 222,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19CC8.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

105,660 105,661 105,662 105,663 105,664 105,665 105,666 105,667 105,668 105,669 105,670 105,671 105,672 105,673 105,674 105,675 105,676 105,677 105,678 105,679 105,680 105,681 105,682 105,683 105,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 276,501
Recamán's sequence: a(43,035) = 105,672
Square (n²): 11,166,571,584
Cube (n³): 1,179,993,952,424,448
Divisor count: 64
σ(n) — sum of divisors: 328,320
φ(n) — Euler's totient: 27,648
Sum of prime factors: 70

Primality

Prime factorization: 2 ³ × 3 × 7 × 17 × 37

Nearest primes: 105,667 (−5) · 105,673 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 17 · 21 · 24 · 28 · 34 · 37 · 42 · 51 · 56 · 68 · 74 · 84 · 102 · 111 · 119 · 136 · 148 · 168 · 204 · 222 · 238 · 259 · 296 · 357 · 408 · 444 · 476 · 518 · 629 · 714 · 777 · 888 · 952 · 1036 · 1258 · 1428 · 1554 · 1887 · 2072 · 2516 · 2856 · 3108 · 3774 · 4403 · 5032 · 6216 · 7548 · 8806 · 13209 · 15096 · 17612 · 26418 · 35224 · 52836 (half) · 105672

Aliquot sum (sum of proper divisors): 222,648

Factor pairs (a × b = 105,672)

1 × 105672

2 × 52836

3 × 35224

4 × 26418

6 × 17612

7 × 15096

8 × 13209

12 × 8806

14 × 7548

17 × 6216

21 × 5032

24 × 4403

28 × 3774

34 × 3108

37 × 2856

42 × 2516

51 × 2072

56 × 1887

68 × 1554

74 × 1428

84 × 1258

102 × 1036

111 × 952

119 × 888

136 × 777

148 × 714

168 × 629

204 × 518

222 × 476

238 × 444

259 × 408

296 × 357

First multiples

105,672 · 211,344 (double) · 317,016 · 422,688 · 528,360 · 634,032 · 739,704 · 845,376 · 951,048 · 1,056,720

Sums & aliquot sequence

As consecutive integers: 35,223 + 35,224 + 35,225 15,093 + 15,094 + … + 15,099 6,597 + 6,598 + … + 6,612 6,208 + 6,209 + … + 6,224

Aliquot sequence: 105,672 → 222,648 → 334,032 → 529,008 → 863,760 → 1,903,920 → 3,998,976 → 6,989,568 → 12,632,832 → 23,797,380 → 42,835,452 → 67,029,996 → 103,592,148 → 160,097,292 → 260,016,948 → 411,443,660 → 452,588,068 — unresolved within range

Continued fraction of √n

√105,672 = [325; (13, 1, 4, 1, 13, 650)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred five thousand six hundred seventy-two
Ordinal: 105672nd
Binary: 11001110011001000
Octal: 316310
Hexadecimal: 0x19CC8
Base64: AZzI
One's complement: 4,294,861,623 (32-bit)
Scientific notation: 1.05672 × 10⁵
As a duration: 105,672 s = 1 day, 5 hours, 21 minutes, 12 seconds

In other bases

ternary (3) 12100221210

quaternary (4) 121303020

quinary (5) 11340142

senary (6) 2133120

septenary (7) 620040

nonary (9) 170853

undecimal (11) 72436

duodecimal (12) 511a0

tridecimal (13) 39138

tetradecimal (14) 2a720

pentadecimal (15) 2149c

As an angle

105,672° = 293 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρεχοβʹ
Mayan (base 20): 𝋭·𝋤·𝋣·𝋬
Chinese: 一十萬五千六百七十二
Chinese (financial): 壹拾萬伍仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٥٦٧٢ Devanagari १०५६७२ Bengali ১০৫৬৭২ Tamil ௧௦௫௬௭௨ Thai ๑๐๕๖๗๒ Tibetan ༡༠༥༦༧༢ Khmer ១០៥៦៧២ Lao ໑໐໕໖໗໒ Burmese ၁၀၅၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105672, here are decompositions:

5 + 105667 = 105672
19 + 105653 = 105672
23 + 105649 = 105672
53 + 105619 = 105672
59 + 105613 = 105672
71 + 105601 = 105672
109 + 105563 = 105672
131 + 105541 = 105672

Showing the first eight; more decompositions exist.

Hex color

#019CC8

RGB(1, 156, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.156.200.

Address: 0.1.156.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.156.200

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 105,672 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 US105,672 on Google Patents ↗ Look up on USPTO ↗