Live analysis

104,772

104,772 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.).

104,772 (one hundred four thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 8,731. Its proper divisors sum to 139,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19944.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

104,760 104,761 104,762 104,763 104,764 104,765 104,766 104,767 104,768 104,769 104,770 104,771 104,772 104,773 104,774 104,775 104,776 104,777 104,778 104,779 104,780 104,781 104,782 104,783 104,784

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 277,401
Recamán's sequence: a(91,647) = 104,772
Square (n²): 10,977,171,984
Cube (n³): 1,150,100,263,107,648
Divisor count: 12
σ(n) — sum of divisors: 244,496
φ(n) — Euler's totient: 34,920
Sum of prime factors: 8,738

Primality

Prime factorization: 2 ² × 3 × 8731

Nearest primes: 104,761 (−11) · 104,773 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 8731 · 17462 · 26193 · 34924 · 52386 (half) · 104772

Aliquot sum (sum of proper divisors): 139,724

Factor pairs (a × b = 104,772)

1 × 104772

2 × 52386

3 × 34924

4 × 26193

6 × 17462

12 × 8731

First multiples

104,772 · 209,544 (double) · 314,316 · 419,088 · 523,860 · 628,632 · 733,404 · 838,176 · 942,948 · 1,047,720

Sums & aliquot sequence

As consecutive integers: 34,923 + 34,924 + 34,925 13,093 + 13,094 + … + 13,100 4,354 + 4,355 + … + 4,377

Aliquot sequence: 104,772 → 139,724 → 123,700 → 144,946 → 83,996 → 85,348 → 72,012 → 106,404 → 141,900 → 316,404 → 627,084 → 958,136 → 849,664 → 846,856 → 784,484 → 648,220 → 713,084 — unresolved within range

Continued fraction of √n

√104,772 = [323; (1, 2, 5, 1, 2, 1, 1, 7, 1, 16, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 3, 4, 3, 6, …)]

Representations

In words: one hundred four thousand seven hundred seventy-two
Ordinal: 104772nd
Binary: 11001100101000100
Octal: 314504
Hexadecimal: 0x19944
Base64: AZlE
One's complement: 4,294,862,523 (32-bit)
Scientific notation: 1.04772 × 10⁵
As a duration: 104,772 s = 1 day, 5 hours, 6 minutes, 12 seconds

In other bases

ternary (3) 12022201110

quaternary (4) 121211010

quinary (5) 11323042

senary (6) 2125020

septenary (7) 614313

nonary (9) 168643

undecimal (11) 71798

duodecimal (12) 50770

tridecimal (13) 388c5

tetradecimal (14) 2a27a

pentadecimal (15) 2109c

As an angle

104,772° = 291 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρδψοβʹ
Mayan (base 20): 𝋭·𝋡·𝋲·𝋬
Chinese: 一十萬四千七百七十二
Chinese (financial): 壹拾萬肆仟柒佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٤٧٧٢ Devanagari १०४७७२ Bengali ১০৪৭৭২ Tamil ௧௦௪௭௭௨ Thai ๑๐๔๗๗๒ Tibetan ༡༠༤༧༧༢ Khmer ១០៤៧៧២ Lao ໑໐໔໗໗໒ Burmese ၁၀၄၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104772, here are decompositions:

11 + 104761 = 104772
13 + 104759 = 104772
29 + 104743 = 104772
43 + 104729 = 104772
61 + 104711 = 104772
71 + 104701 = 104772
79 + 104693 = 104772
89 + 104683 = 104772

Showing the first eight; more decompositions exist.

Hex color

#019944

RGB(1, 153, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.68.

Address: 0.1.153.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.153.68

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 104,772 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 US104,772 on Google Patents ↗ Look up on USPTO ↗