Live analysis

104,064

104,064 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.).

104,064 (one hundred four thousand sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 271. Its proper divisors sum to 173,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19680.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

104,052 104,053 104,054 104,055 104,056 104,057 104,058 104,059 104,060 104,061 104,062 104,063 104,064 104,065 104,066 104,067 104,068 104,069 104,070 104,071 104,072 104,073 104,074 104,075 104,076

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 460,401
Recamán's sequence: a(93,975) = 104,064
Square (n²): 10,829,316,096
Cube (n³): 1,126,941,950,214,144
Divisor count: 32
σ(n) — sum of divisors: 277,440
φ(n) — Euler's totient: 34,560
Sum of prime factors: 288

Primality

Prime factorization: 2 ⁷ × 3 × 271

Nearest primes: 104,059 (−5) · 104,087 (+23)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 271 · 384 · 542 · 813 · 1084 · 1626 · 2168 · 3252 · 4336 · 6504 · 8672 · 13008 · 17344 · 26016 · 34688 · 52032 (half) · 104064

Aliquot sum (sum of proper divisors): 173,376

Factor pairs (a × b = 104,064)

1 × 104064

2 × 52032

3 × 34688

4 × 26016

6 × 17344

8 × 13008

12 × 8672

16 × 6504

24 × 4336

32 × 3252

48 × 2168

64 × 1626

96 × 1084

128 × 813

192 × 542

271 × 384

First multiples

104,064 · 208,128 (double) · 312,192 · 416,256 · 520,320 · 624,384 · 728,448 · 832,512 · 936,576 · 1,040,640

Sums & aliquot sequence

As consecutive integers: 34,687 + 34,688 + 34,689 279 + 280 + … + 534 249 + 250 + … + 519

Aliquot sequence: 104,064 → 173,376 → 407,776 → 395,096 → 436,504 → 381,956 → 348,340 → 383,216 → 377,896 → 330,674 → 170,554 → 90,266 → 58,960 → 92,816 → 87,046 → 45,578 → 28,090 — unresolved within range

Continued fraction of √n

√104,064 = [322; (1, 1, 2, 3, 2, 2, 1, 1, 6, 4, 1, 5, 1, 1, 1, 4, 1, 2, 6, 1, 1, 1, 13, 13, …)]

Representations

In words: one hundred four thousand sixty-four
Ordinal: 104064th
Binary: 11001011010000000
Octal: 313200
Hexadecimal: 0x19680
Base64: AZaA
One's complement: 4,294,863,231 (32-bit)
Scientific notation: 1.04064 × 10⁵
As a duration: 104,064 s = 1 day, 4 hours, 54 minutes, 24 seconds

In other bases

ternary (3) 12021202020

quaternary (4) 121122000

quinary (5) 11312224

senary (6) 2121440

septenary (7) 612252

nonary (9) 167666

undecimal (11) 71204

duodecimal (12) 50280

tridecimal (13) 3849c

tetradecimal (14) 29cd2

pentadecimal (15) 20c79

As an angle

104,064° = 289 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρδξδʹ
Mayan (base 20): 𝋭·𝋠·𝋣·𝋤
Chinese: 一十萬四千零六十四
Chinese (financial): 壹拾萬肆仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠٤٠٦٤ Devanagari १०४०६४ Bengali ১০৪০৬৪ Tamil ௧௦௪௦௬௪ Thai ๑๐๔๐๖๔ Tibetan ༡༠༤༠༦༤ Khmer ១០៤០៦៤ Lao ໑໐໔໐໖໔ Burmese ၁၀၄၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104064, here are decompositions:

5 + 104059 = 104064
11 + 104053 = 104064
17 + 104047 = 104064
31 + 104033 = 104064
43 + 104021 = 104064
61 + 104003 = 104064
67 + 103997 = 104064
71 + 103993 = 104064

Showing the first eight; more decompositions exist.

Hex color

#019680

RGB(1, 150, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.128.

Address: 0.1.150.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.128

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 104,064 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 US104,064 on Google Patents ↗ Look up on USPTO ↗