Live analysis

104,820

104,820 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.).

104,820 (one hundred four thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,747. Its proper divisors sum to 188,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19974.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

104,808 104,809 104,810 104,811 104,812 104,813 104,814 104,815 104,816 104,817 104,818 104,819 104,820 104,821 104,822 104,823 104,824 104,825 104,826 104,827 104,828 104,829 104,830 104,831 104,832

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 28,401
Recamán's sequence: a(91,551) = 104,820
Square (n²): 10,987,232,400
Cube (n³): 1,151,681,700,168,000
Divisor count: 24
σ(n) — sum of divisors: 293,664
φ(n) — Euler's totient: 27,936
Sum of prime factors: 1,759

Primality

Prime factorization: 2 ² × 3 × 5 × 1747

Nearest primes: 104,803 (−17) · 104,827 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 1747 · 3494 · 5241 · 6988 · 8735 · 10482 · 17470 · 20964 · 26205 · 34940 · 52410 (half) · 104820

Aliquot sum (sum of proper divisors): 188,844

Factor pairs (a × b = 104,820)

1 × 104820

2 × 52410

3 × 34940

4 × 26205

5 × 20964

6 × 17470

10 × 10482

12 × 8735

15 × 6988

20 × 5241

30 × 3494

60 × 1747

First multiples

104,820 · 209,640 (double) · 314,460 · 419,280 · 524,100 · 628,920 · 733,740 · 838,560 · 943,380 · 1,048,200

Sums & aliquot sequence

As consecutive integers: 34,939 + 34,940 + 34,941 20,962 + 20,963 + 20,964 + 20,965 + 20,966 13,099 + 13,100 + … + 13,106 6,981 + 6,982 + … + 6,995

Aliquot sequence: 104,820 → 188,844 → 251,820 → 512,580 → 922,812 → 1,426,500 → 3,087,828 → 4,917,932 → 3,688,456 → 3,842,384 → 5,858,446 → 3,728,138 → 1,864,072 → 2,130,488 → 1,883,872 → 2,044,304 → 1,977,760 — unresolved within range

Continued fraction of √n

√104,820 = [323; (1, 3, 6, 1, 1, 3, 3, 2, 1, 1, 10, 2, 1, 1, 2, 4, 1, 5, 7, 1, 11, 1, 4, 1, …)]

Representations

In words: one hundred four thousand eight hundred twenty
Ordinal: 104820th
Binary: 11001100101110100
Octal: 314564
Hexadecimal: 0x19974
Base64: AZl0
One's complement: 4,294,862,475 (32-bit)
Scientific notation: 1.0482 × 10⁵
As a duration: 104,820 s = 1 day, 5 hours, 7 minutes

In other bases

ternary (3) 12022210020

quaternary (4) 121211310

quinary (5) 11323240

senary (6) 2125140

septenary (7) 614412

nonary (9) 168706

undecimal (11) 71831

duodecimal (12) 507b0

tridecimal (13) 38931

tetradecimal (14) 2a2b2

pentadecimal (15) 210d0

As an angle

104,820° = 291 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρδωκʹ
Mayan (base 20): 𝋭·𝋢·𝋡·𝋠
Chinese: 一十萬四千八百二十
Chinese (financial): 壹拾萬肆仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٤٨٢٠ Devanagari १०४८२० Bengali ১০৪৮২০ Tamil ௧௦௪௮௨௦ Thai ๑๐๔๘๒๐ Tibetan ༡༠༤༨༢༠ Khmer ១០៤៨២០ Lao ໑໐໔໘໒໐ Burmese ၁၀၄၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104820, here are decompositions:

17 + 104803 = 104820
19 + 104801 = 104820
31 + 104789 = 104820
41 + 104779 = 104820
47 + 104773 = 104820
59 + 104761 = 104820
61 + 104759 = 104820
97 + 104723 = 104820

Showing the first eight; more decompositions exist.

Hex color

#019974

RGB(1, 153, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.116.

Address: 0.1.153.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.153.116

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 104,820 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 US104,820 on Google Patents ↗ Look up on USPTO ↗