Live analysis

105,042

105,042 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.).

105,042 (one hundred five thousand forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 41 × 61. Its proper divisors sum to 144,942, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19A52.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

105,030 105,031 105,032 105,033 105,034 105,035 105,036 105,037 105,038 105,039 105,040 105,041 105,042 105,043 105,044 105,045 105,046 105,047 105,048 105,049 105,050 105,051 105,052 105,053 105,054

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 240,501
Recamán's sequence: a(90,999) = 105,042
Square (n²): 11,033,821,764
Cube (n³): 1,159,014,705,734,088
Divisor count: 32
σ(n) — sum of divisors: 249,984
φ(n) — Euler's totient: 28,800
Sum of prime factors: 114

Primality

Prime factorization: 2 × 3 × 7 × 41 × 61

Nearest primes: 105,037 (−5) · 105,071 (+29)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 41 · 42 · 61 · 82 · 122 · 123 · 183 · 246 · 287 · 366 · 427 · 574 · 854 · 861 · 1281 · 1722 · 2501 · 2562 · 5002 · 7503 · 15006 · 17507 · 35014 · 52521 (half) · 105042

Aliquot sum (sum of proper divisors): 144,942

Factor pairs (a × b = 105,042)

1 × 105042

2 × 52521

3 × 35014

6 × 17507

7 × 15006

14 × 7503

21 × 5002

41 × 2562

42 × 2501

61 × 1722

82 × 1281

122 × 861

123 × 854

183 × 574

246 × 427

287 × 366

First multiples

105,042 · 210,084 (double) · 315,126 · 420,168 · 525,210 · 630,252 · 735,294 · 840,336 · 945,378 · 1,050,420

Sums & aliquot sequence

As consecutive integers: 35,013 + 35,014 + 35,015 26,259 + 26,260 + 26,261 + 26,262 15,003 + 15,004 + … + 15,009 8,748 + 8,749 + … + 8,759

Aliquot sequence: 105,042 → 144,942 → 224,418 → 229,758 → 234,642 → 234,654 → 319,842 → 391,038 → 391,050 → 769,590 → 1,353,258 → 1,578,840 → 3,259,560 → 6,952,920 → 15,515,400 → 35,151,000 → 74,529,480 — unresolved within range

Continued fraction of √n

√105,042 = [324; (9, 1, 4, 1, 1, 4, 1, 4, 3, 1, 1, 13, 1, 1, 9, 1, 14, 1, 9, 1, 1, 13, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one hundred five thousand forty-two
Ordinal: 105042nd
Binary: 11001101001010010
Octal: 315122
Hexadecimal: 0x19A52
Base64: AZpS
One's complement: 4,294,862,253 (32-bit)
Scientific notation: 1.05042 × 10⁵
As a duration: 105,042 s = 1 day, 5 hours, 10 minutes, 42 seconds

In other bases

ternary (3) 12100002110

quaternary (4) 121221102

quinary (5) 11330132

senary (6) 2130150

septenary (7) 615150

nonary (9) 170073

undecimal (11) 71a13

duodecimal (12) 50956

tridecimal (13) 38a72

tetradecimal (14) 2a3d0

pentadecimal (15) 211cc

As an angle

105,042° = 291 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρεμβʹ
Mayan (base 20): 𝋭·𝋢·𝋬·𝋢
Chinese: 一十萬五千零四十二
Chinese (financial): 壹拾萬伍仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠٥٠٤٢ Devanagari १०५०४२ Bengali ১০৫০৪২ Tamil ௧௦௫௦௪௨ Thai ๑๐๕๐๔๒ Tibetan ༡༠༥༠༤༢ Khmer ១០៥០៤២ Lao ໑໐໕໐໔໒ Burmese ၁၀၅၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105042, here are decompositions:

5 + 105037 = 105042
11 + 105031 = 105042
19 + 105023 = 105042
23 + 105019 = 105042
43 + 104999 = 105042
71 + 104971 = 105042
83 + 104959 = 105042
89 + 104953 = 105042

Showing the first eight; more decompositions exist.

Hex color

#019A52

RGB(1, 154, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.82.

Address: 0.1.154.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.154.82

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 105,042 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 US105,042 on Google Patents ↗ Look up on USPTO ↗