Live analysis

104,800

104,800 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.).

104,800 (one hundred four thousand eight hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 131. Its proper divisors sum to 152,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19960.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

104,788 104,789 104,790 104,791 104,792 104,793 104,794 104,795 104,796 104,797 104,798 104,799 104,800 104,801 104,802 104,803 104,804 104,805 104,806 104,807 104,808 104,809 104,810 104,811 104,812

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 8,401
Recamán's sequence: a(91,591) = 104,800
Square (n²): 10,983,040,000
Cube (n³): 1,151,022,592,000,000
Divisor count: 36
σ(n) — sum of divisors: 257,796
φ(n) — Euler's totient: 41,600
Sum of prime factors: 151

Primality

Prime factorization: 2 ⁵ × 5 ² × 131

Nearest primes: 104,789 (−11) · 104,801 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 131 · 160 · 200 · 262 · 400 · 524 · 655 · 800 · 1048 · 1310 · 2096 · 2620 · 3275 · 4192 · 5240 · 6550 · 10480 · 13100 · 20960 · 26200 · 52400 (half) · 104800

Aliquot sum (sum of proper divisors): 152,996

Factor pairs (a × b = 104,800)

1 × 104800

2 × 52400

4 × 26200

5 × 20960

8 × 13100

10 × 10480

16 × 6550

20 × 5240

25 × 4192

32 × 3275

40 × 2620

50 × 2096

80 × 1310

100 × 1048

131 × 800

160 × 655

200 × 524

262 × 400

First multiples

104,800 · 209,600 (double) · 314,400 · 419,200 · 524,000 · 628,800 · 733,600 · 838,400 · 943,200 · 1,048,000

Sums & aliquot sequence

As consecutive integers: 20,958 + 20,959 + 20,960 + 20,961 + 20,962 4,180 + 4,181 + … + 4,204 1,606 + 1,607 + … + 1,669 735 + 736 + … + 865

Aliquot sequence: 104,800 → 152,996 → 126,556 → 102,764 → 85,060 → 93,608 → 81,922 → 40,964 → 54,796 → 61,684 → 61,740 → 156,660 → 345,996 → 654,276 → 1,090,684 → 1,090,740 → 2,538,060 — unresolved within range

Continued fraction of √n

√104,800 = [323; (1, 2, 1, 2, 7, 1, 4, 1, 20, 17, 1, 14, 1, 5, 1, 1, 6, 4, 1, 6, 2, 7, 1, 1, …)]

Representations

In words: one hundred four thousand eight hundred
Ordinal: 104800th
Binary: 11001100101100000
Octal: 314540
Hexadecimal: 0x19960
Base64: AZlg
One's complement: 4,294,862,495 (32-bit)
Scientific notation: 1.048 × 10⁵
As a duration: 104,800 s = 1 day, 5 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 12022202111

quaternary (4) 121211200

quinary (5) 11323200

senary (6) 2125104

septenary (7) 614353

nonary (9) 168674

undecimal (11) 71813

duodecimal (12) 50794

tridecimal (13) 38917

tetradecimal (14) 2a29a

pentadecimal (15) 210ba

As an angle

104,800° = 291 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ρδωʹ
Mayan (base 20): 𝋭·𝋢·𝋠·𝋠
Chinese: 一十萬四千八百
Chinese (financial): 壹拾萬肆仟捌佰

In other modern scripts

Eastern Arabic ١٠٤٨٠٠ Devanagari १०४८०० Bengali ১০৪৮০০ Tamil ௧௦௪௮௦௦ Thai ๑๐๔๘๐๐ Tibetan ༡༠༤༨༠༠ Khmer ១០៤៨០០ Lao ໑໐໔໘໐໐ Burmese ၁၀၄၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104800, here are decompositions:

11 + 104789 = 104800
41 + 104759 = 104800
71 + 104729 = 104800
83 + 104717 = 104800
89 + 104711 = 104800
107 + 104693 = 104800
149 + 104651 = 104800
239 + 104561 = 104800

Showing the first eight; more decompositions exist.

Hex color

#019960

RGB(1, 153, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.96.

Address: 0.1.153.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.153.96

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 104,800 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 US104,800 on Google Patents ↗ Look up on USPTO ↗