Live analysis

104,052

104,052 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.).

104,052 (one hundred four thousand fifty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 13 × 23 × 29. Its proper divisors sum to 178,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19674.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

104,040 104,041 104,042 104,043 104,044 104,045 104,046 104,047 104,048 104,049 104,050 104,051 104,052 104,053 104,054 104,055 104,056 104,057 104,058 104,059 104,060 104,061 104,062 104,063 104,064

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 250,401
Recamán's sequence: a(93,999) = 104,052
Square (n²): 10,826,818,704
Cube (n³): 1,126,552,139,788,608
Divisor count: 48
σ(n) — sum of divisors: 282,240
φ(n) — Euler's totient: 29,568
Sum of prime factors: 72

Primality

Prime factorization: 2 ² × 3 × 13 × 23 × 29

Nearest primes: 104,047 (−5) · 104,053 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 23 · 26 · 29 · 39 · 46 · 52 · 58 · 69 · 78 · 87 · 92 · 116 · 138 · 156 · 174 · 276 · 299 · 348 · 377 · 598 · 667 · 754 · 897 · 1131 · 1196 · 1334 · 1508 · 1794 · 2001 · 2262 · 2668 · 3588 · 4002 · 4524 · 8004 · 8671 · 17342 · 26013 · 34684 · 52026 (half) · 104052

Aliquot sum (sum of proper divisors): 178,188

Factor pairs (a × b = 104,052)

1 × 104052

2 × 52026

3 × 34684

4 × 26013

6 × 17342

12 × 8671

13 × 8004

23 × 4524

26 × 4002

29 × 3588

39 × 2668

46 × 2262

52 × 2001

58 × 1794

69 × 1508

78 × 1334

87 × 1196

92 × 1131

116 × 897

138 × 754

156 × 667

174 × 598

276 × 377

299 × 348

First multiples

104,052 · 208,104 (double) · 312,156 · 416,208 · 520,260 · 624,312 · 728,364 · 832,416 · 936,468 · 1,040,520

Sums & aliquot sequence

As consecutive integers: 34,683 + 34,684 + 34,685 13,003 + 13,004 + … + 13,010 7,998 + 7,999 + … + 8,010 4,513 + 4,514 + … + 4,535

Aliquot sequence: 104,052 → 178,188 → 251,892 → 384,926 → 192,466 → 96,236 → 100,072 → 114,488 → 119,872 → 118,126 → 59,066 → 42,214 → 21,110 → 16,906 → 9,014 → 4,510 → 4,562 — unresolved within range

Continued fraction of √n

√104,052 = [322; (1, 1, 3, 40, 28, 40, 3, 1, 1, 644)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand fifty-two
Ordinal: 104052nd
Binary: 11001011001110100
Octal: 313164
Hexadecimal: 0x19674
Base64: AZZ0
One's complement: 4,294,863,243 (32-bit)
Scientific notation: 1.04052 × 10⁵
As a duration: 104,052 s = 1 day, 4 hours, 54 minutes, 12 seconds

In other bases

ternary (3) 12021201210

quaternary (4) 121121310

quinary (5) 11312202

senary (6) 2121420

septenary (7) 612234

nonary (9) 167653

undecimal (11) 711a3

duodecimal (12) 50270

tridecimal (13) 38490

tetradecimal (14) 29cc4

pentadecimal (15) 20c6c

As an angle

104,052° = 289 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρδνβʹ
Mayan (base 20): 𝋭·𝋠·𝋢·𝋬
Chinese: 一十萬四千零五十二
Chinese (financial): 壹拾萬肆仟零伍拾貳

In other modern scripts

Eastern Arabic ١٠٤٠٥٢ Devanagari १०४०५२ Bengali ১০৪০৫২ Tamil ௧௦௪௦௫௨ Thai ๑๐๔๐๕๒ Tibetan ༡༠༤༠༥༢ Khmer ១០៤០៥២ Lao ໑໐໔໐໕໒ Burmese ၁၀၄၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104052, here are decompositions:

5 + 104047 = 104052
19 + 104033 = 104052
31 + 104021 = 104052
43 + 104009 = 104052
59 + 103993 = 104052
61 + 103991 = 104052
71 + 103981 = 104052
73 + 103979 = 104052

Showing the first eight; more decompositions exist.

Hex color

#019674

RGB(1, 150, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.116.

Address: 0.1.150.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.116

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 104,052 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 US104,052 on Google Patents ↗ Look up on USPTO ↗