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122,404

122,404 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.).

122,404 (one hundred twenty-two thousand four hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 71 × 431. Written other ways, in hexadecimal, 0x1DE24.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
404,221
Square (n²)
14,982,739,216
Cube (n³)
1,833,947,210,995,264
Divisor count
12
σ(n) — sum of divisors
217,728
φ(n) — Euler's totient
60,200
Sum of prime factors
506

Primality

Prime factorization: 2 2 × 71 × 431

Nearest primes: 122,401 (−3) · 122,443 (+39)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 71 · 142 · 284 · 431 · 862 · 1724 · 30601 · 61202 (half) · 122404
Aliquot sum (sum of proper divisors): 95,324
Factor pairs (a × b = 122,404)
1 × 122404
2 × 61202
4 × 30601
71 × 1724
142 × 862
284 × 431
First multiples
122,404 · 244,808 (double) · 367,212 · 489,616 · 612,020 · 734,424 · 856,828 · 979,232 · 1,101,636 · 1,224,040

Sums & aliquot sequence

As consecutive integers: 15,297 + 15,298 + … + 15,304 1,689 + 1,690 + … + 1,759 69 + 70 + … + 499
Aliquot sequence: 122,404 95,324 71,500 111,956 99,136 97,714 48,860 68,740 96,572 96,628 118,832 144,544 140,090 112,090 108,230 90,490 72,410 — unresolved within range

Continued fraction of √n

√122,404 = [349; (1, 6, 3, 2, 4, 12, 19, 1, 10, 6, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 14, …)]

Representations

In words
one hundred twenty-two thousand four hundred four
Ordinal
122404th
Binary
11101111000100100
Octal
357044
Hexadecimal
0x1DE24
Base64
Ad4k
One's complement
4,294,844,891 (32-bit)
Scientific notation
1.22404 × 10⁵
As a duration
122,404 s = 1 day, 10 hours, 4 seconds
In other bases
ternary (3) 20012220111
quaternary (4) 131320210
quinary (5) 12404104
senary (6) 2342404
septenary (7) 1016602
nonary (9) 205814
undecimal (11) 83a67
duodecimal (12) 5aa04
tridecimal (13) 43939
tetradecimal (14) 32872
pentadecimal (15) 26404

As an angle

122,404° = 340 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβυδʹ
Mayan (base 20)
𝋯·𝋦·𝋠·𝋤
Chinese
一十二萬二千四百零四
Chinese (financial)
壹拾貳萬貳仟肆佰零肆
In other modern scripts
Eastern Arabic ١٢٢٤٠٤ Devanagari १२२४०४ Bengali ১২২৪০৪ Tamil ௧௨௨௪௦௪ Thai ๑๒๒๔๐๔ Tibetan ༡༢༢༤༠༤ Khmer ១២២៤០៤ Lao ໑໒໒໔໐໔ Burmese ၁၂၂၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122404, here are decompositions:

  • 3 + 122401 = 122404
  • 5 + 122399 = 122404
  • 11 + 122393 = 122404
  • 17 + 122387 = 122404
  • 41 + 122363 = 122404
  • 83 + 122321 = 122404
  • 131 + 122273 = 122404
  • 137 + 122267 = 122404

Showing the first eight; more decompositions exist.

Hex color
#01DE24
RGB(1, 222, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.36.

Address
0.1.222.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.36

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 122,404 and was likely granted around 1871.

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

Position in π

The digit sequence 122404 first appears in π at position 924,632 of the decimal expansion (the 924,632ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading