Live analysis

122,004

122,004 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.).

122,004 (one hundred twenty-two thousand four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,389. Its proper divisors sum to 186,486, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC94.

Abundant Number Cube-Free Harshad / Niven Odious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

121,992 121,993 121,994 121,995 121,996 121,997 121,998 121,999 122,000 122,001 122,002 122,003 122,004 122,005 122,006 122,007 122,008 122,009 122,010 122,011 122,012 122,013 122,014 122,015 122,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 400,221
Square (n²): 14,884,976,016
Cube (n³): 1,816,026,613,856,064
Divisor count: 18
σ(n) — sum of divisors: 308,490
φ(n) — Euler's totient: 40,656
Sum of prime factors: 3,399

Primality

Prime factorization: 2 ² × 3 ² × 3389

Nearest primes: 121,997 (−7) · 122,011 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3389 · 6778 · 10167 · 13556 · 20334 · 30501 · 40668 · 61002 (half) · 122004

Aliquot sum (sum of proper divisors): 186,486

Factor pairs (a × b = 122,004)

1 × 122004

2 × 61002

3 × 40668

4 × 30501

6 × 20334

9 × 13556

12 × 10167

18 × 6778

36 × 3389

First multiples

122,004 · 244,008 (double) · 366,012 · 488,016 · 610,020 · 732,024 · 854,028 · 976,032 · 1,098,036 · 1,220,040

Sums & aliquot sequence

As a sum of two squares: 30² + 348²

As consecutive integers: 40,667 + 40,668 + 40,669 15,247 + 15,248 + … + 15,254 13,552 + 13,553 + … + 13,560 5,072 + 5,073 + … + 5,095

Aliquot sequence: 122,004 → 186,486 → 186,498 → 249,210 → 476,550 → 840,330 → 1,344,762 → 1,677,894 → 1,677,906 → 2,117,340 → 4,529,916 → 7,318,284 → 9,876,516 → 14,941,788 → 19,922,412 → 29,872,788 → 52,326,252 — unresolved within range

Continued fraction of √n

√122,004 = [349; (3, 2, 3, 1, 1, 1, 10, 2, 4, 2, 2, 4, 1, 5, 2, 2, 1, 2, 1, 1, 29, 1, 3, 1, …)]

Representations

In words: one hundred twenty-two thousand four
Ordinal: 122004th
Binary: 11101110010010100
Octal: 356224
Hexadecimal: 0x1DC94
Base64: AdyU
One's complement: 4,294,845,291 (32-bit)
Scientific notation: 1.22004 × 10⁵
As a duration: 122,004 s = 1 day, 9 hours, 53 minutes, 24 seconds

In other bases

ternary (3) 20012100200

quaternary (4) 131302110

quinary (5) 12401004

senary (6) 2340500

septenary (7) 1015461

nonary (9) 205320

undecimal (11) 83733

duodecimal (12) 5a730

tridecimal (13) 436bc

tetradecimal (14) 32668

pentadecimal (15) 26239

As an angle

122,004° = 338 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκβδʹ
Mayan (base 20): 𝋯·𝋥·𝋠·𝋤
Chinese: 一十二萬二千零四
Chinese (financial): 壹拾貳萬貳仟零肆

In other modern scripts

Eastern Arabic ١٢٢٠٠٤ Devanagari १२२००४ Bengali ১২২০০৪ Tamil ௧௨௨௦௦௪ Thai ๑๒๒๐๐๔ Tibetan ༡༢༢༠༠༤ Khmer ១២២០០៤ Lao ໑໒໒໐໐໔ Burmese ၁၂၂၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122004, here are decompositions:

7 + 121997 = 122004
11 + 121993 = 122004
37 + 121967 = 122004
41 + 121963 = 122004
53 + 121951 = 122004
67 + 121937 = 122004
73 + 121931 = 122004
83 + 121921 = 122004

Showing the first eight; more decompositions exist.

Hex color

#01DC94

RGB(1, 220, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.148.

Address: 0.1.220.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.220.148

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 122,004 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 US122,004 on Google Patents ↗ Look up on USPTO ↗