Live analysis

120,804

120,804 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.).

120,804 (one hundred twenty thousand eight hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,067. Its proper divisors sum to 161,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7E4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

120,792 120,793 120,794 120,795 120,796 120,797 120,798 120,799 120,800 120,801 120,802 120,803 120,804 120,805 120,806 120,807 120,808 120,809 120,810 120,811 120,812 120,813 120,814 120,815 120,816

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 408,021
Square (n²): 14,593,606,416
Cube (n³): 1,762,966,029,478,464
Divisor count: 12
σ(n) — sum of divisors: 281,904
φ(n) — Euler's totient: 40,264
Sum of prime factors: 10,074

Primality

Prime factorization: 2 ² × 3 × 10067

Nearest primes: 120,779 (−25) · 120,811 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 10067 · 20134 · 30201 · 40268 · 60402 (half) · 120804

Aliquot sum (sum of proper divisors): 161,100

Factor pairs (a × b = 120,804)

1 × 120804

2 × 60402

3 × 40268

4 × 30201

6 × 20134

12 × 10067

First multiples

120,804 · 241,608 (double) · 362,412 · 483,216 · 604,020 · 724,824 · 845,628 · 966,432 · 1,087,236 · 1,208,040

Sums & aliquot sequence

As consecutive integers: 40,267 + 40,268 + 40,269 15,097 + 15,098 + … + 15,104 5,022 + 5,023 + … + 5,045

Aliquot sequence: 120,804 → 161,100 → 346,680 → 829,440 → 2,143,530 → 3,921,750 → 8,658,090 → 18,074,070 → 38,189,610 → 63,650,070 → 128,157,930 → 213,597,270 → 363,851,370 → 584,747,190 → 958,303,098 → 1,119,474,630 → 1,917,714,330 — unresolved within range

Continued fraction of √n

√120,804 = [347; (1, 1, 3, 7, 5, 3, 2, 2, 5, 4, 6, 3, 1, 7, 2, 2, 1, 1, 3, 3, 2, 1, 12, 1, …)]

Representations

In words: one hundred twenty thousand eight hundred four
Ordinal: 120804th
Binary: 11101011111100100
Octal: 353744
Hexadecimal: 0x1D7E4
Base64: Adfk
One's complement: 4,294,846,491 (32-bit)
Scientific notation: 1.20804 × 10⁵
As a duration: 120,804 s = 1 day, 9 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 20010201020

quaternary (4) 131133210

quinary (5) 12331204

senary (6) 2331140

septenary (7) 1012125

nonary (9) 203636

undecimal (11) 82842

duodecimal (12) 59ab0

tridecimal (13) 42ca8

tetradecimal (14) 3204c

pentadecimal (15) 25bd9

As an angle

120,804° = 335 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκωδʹ
Mayan (base 20): 𝋯·𝋢·𝋠·𝋤
Chinese: 一十二萬零八百零四
Chinese (financial): 壹拾貳萬零捌佰零肆

In other modern scripts

Eastern Arabic ١٢٠٨٠٤ Devanagari १२०८०४ Bengali ১২০৮০৪ Tamil ௧௨௦௮௦௪ Thai ๑๒๐๘๐๔ Tibetan ༡༢༠༨༠༤ Khmer ១២០៨០៤ Lao ໑໒໐໘໐໔ Burmese ၁၂၀၈၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120804, here are decompositions:

37 + 120767 = 120804
41 + 120763 = 120804
67 + 120737 = 120804
83 + 120721 = 120804
113 + 120691 = 120804
127 + 120677 = 120804
157 + 120647 = 120804
163 + 120641 = 120804

Showing the first eight; more decompositions exist.

Unicode codepoint

𝟤

Mathematical Sans-Serif Digit Two

U+1D7E4

Decimal digit (Nd)

UTF-8 encoding: F0 9D 9F A4 (4 bytes).

Lookup U+1D7E4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D7E4

RGB(1, 215, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.228.

Address: 0.1.215.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.215.228

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 120,804 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US120,804 on Google Patents ↗ Look up on USPTO ↗