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122,442

122,442 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.).

122,442 (one hundred twenty-two thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 20,407. Its proper divisors sum to 122,454, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE4A.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
128
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
244,221
Square (n²)
14,992,043,364
Cube (n³)
1,835,655,773,574,888
Divisor count
8
σ(n) — sum of divisors
244,896
φ(n) — Euler's totient
40,812
Sum of prime factors
20,412

Primality

Prime factorization: 2 × 3 × 20407

Nearest primes: 122,401 (−41) · 122,443 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 20407 · 40814 · 61221 (half) · 122442
Aliquot sum (sum of proper divisors): 122,454
Factor pairs (a × b = 122,442)
1 × 122442
2 × 61221
3 × 40814
6 × 20407
First multiples
122,442 · 244,884 (double) · 367,326 · 489,768 · 612,210 · 734,652 · 857,094 · 979,536 · 1,101,978 · 1,224,420

Sums & aliquot sequence

As consecutive integers: 40,813 + 40,814 + 40,815 30,609 + 30,610 + 30,611 + 30,612 10,198 + 10,199 + … + 10,209
Aliquot sequence: 122,442 122,454 142,902 185,634 216,612 381,804 509,100 964,764 1,536,756 2,325,228 3,248,004 4,330,700 6,335,284 5,715,916 4,286,944 4,153,040 5,502,964 — unresolved within range

Continued fraction of √n

√122,442 = [349; (1, 11, 14, 1, 4, 5, 1, 2, 1, 2, 9, 2, 29, 1, 20, 4, 5, 1, 17, 1, 1, 2, 1, 3, …)]

Representations

In words
one hundred twenty-two thousand four hundred forty-two
Ordinal
122442nd
Binary
11101111001001010
Octal
357112
Hexadecimal
0x1DE4A
Base64
Ad5K
One's complement
4,294,844,853 (32-bit)
Scientific notation
1.22442 × 10⁵
As a duration
122,442 s = 1 day, 10 hours, 42 seconds
In other bases
ternary (3) 20012221220
quaternary (4) 131321022
quinary (5) 12404232
senary (6) 2342510
septenary (7) 1016655
nonary (9) 205856
undecimal (11) 83aa1
duodecimal (12) 5aa36
tridecimal (13) 43968
tetradecimal (14) 3289c
pentadecimal (15) 2642c

As an angle

122,442° = 340 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβυμβʹ
Mayan (base 20)
𝋯·𝋦·𝋢·𝋢
Chinese
一十二萬二千四百四十二
Chinese (financial)
壹拾貳萬貳仟肆佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٢٤٤٢ Devanagari १२२४४२ Bengali ১২২৪৪২ Tamil ௧௨௨௪௪௨ Thai ๑๒๒๔๔๒ Tibetan ༡༢༢༤༤༢ Khmer ១២២៤៤២ Lao ໑໒໒໔໔໒ Burmese ၁၂၂၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122442, here are decompositions:

  • 41 + 122401 = 122442
  • 43 + 122399 = 122442
  • 53 + 122389 = 122442
  • 79 + 122363 = 122442
  • 163 + 122279 = 122442
  • 179 + 122263 = 122442
  • 191 + 122251 = 122442
  • 211 + 122231 = 122442

Showing the first eight; more decompositions exist.

Hex color
#01DE4A
RGB(1, 222, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.74.

Address
0.1.222.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.74

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 122,442 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 122442 first appears in π at position 206,593 of the decimal expansion (the 206,593ordinal-suffix:rd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.