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122,424

122,424 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.).

122,424 (one hundred twenty-two thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,101. Its proper divisors sum to 183,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE38.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
128
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
424,221
Square (n²)
14,987,635,776
Cube (n³)
1,834,846,322,241,024
Divisor count
16
σ(n) — sum of divisors
306,120
φ(n) — Euler's totient
40,800
Sum of prime factors
5,110

Primality

Prime factorization: 2 3 × 3 × 5101

Nearest primes: 122,401 (−23) · 122,443 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5101 · 10202 · 15303 · 20404 · 30606 · 40808 · 61212 (half) · 122424
Aliquot sum (sum of proper divisors): 183,696
Factor pairs (a × b = 122,424)
1 × 122424
2 × 61212
3 × 40808
4 × 30606
6 × 20404
8 × 15303
12 × 10202
24 × 5101
First multiples
122,424 · 244,848 (double) · 367,272 · 489,696 · 612,120 · 734,544 · 856,968 · 979,392 · 1,101,816 · 1,224,240

Sums & aliquot sequence

As consecutive integers: 40,807 + 40,808 + 40,809 7,644 + 7,645 + … + 7,659 2,527 + 2,528 + … + 2,574
Aliquot sequence: 122,424 183,696 307,344 530,896 497,746 253,358 180,994 131,486 72,634 41,126 20,566 17,738 13,384 15,416 14,824 14,876 11,164 — unresolved within range

Continued fraction of √n

√122,424 = [349; (1, 8, 4, 1, 3, 1, 1, 2, 12, 9, 1, 1, 46, 7, 1, 13, 2, 2, 6, 3, 14, 1, 1, 2, …)]

Representations

In words
one hundred twenty-two thousand four hundred twenty-four
Ordinal
122424th
Binary
11101111000111000
Octal
357070
Hexadecimal
0x1DE38
Base64
Ad44
One's complement
4,294,844,871 (32-bit)
Scientific notation
1.22424 × 10⁵
As a duration
122,424 s = 1 day, 10 hours, 24 seconds
In other bases
ternary (3) 20012221020
quaternary (4) 131320320
quinary (5) 12404144
senary (6) 2342440
septenary (7) 1016631
nonary (9) 205836
undecimal (11) 83a85
duodecimal (12) 5aa20
tridecimal (13) 43953
tetradecimal (14) 32888
pentadecimal (15) 26419

As an angle

122,424° = 340 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβυκδʹ
Mayan (base 20)
𝋯·𝋦·𝋡·𝋤
Chinese
一十二萬二千四百二十四
Chinese (financial)
壹拾貳萬貳仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١٢٢٤٢٤ Devanagari १२२४२४ Bengali ১২২৪২৪ Tamil ௧௨௨௪௨௪ Thai ๑๒๒๔๒๔ Tibetan ༡༢༢༤༢༤ Khmer ១២២៤២៤ Lao ໑໒໒໔໒໔ Burmese ၁၂၂၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122424, here are decompositions:

  • 23 + 122401 = 122424
  • 31 + 122393 = 122424
  • 37 + 122387 = 122424
  • 61 + 122363 = 122424
  • 97 + 122327 = 122424
  • 101 + 122323 = 122424
  • 103 + 122321 = 122424
  • 151 + 122273 = 122424

Showing the first eight; more decompositions exist.

Hex color
#01DE38
RGB(1, 222, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.56.

Address
0.1.222.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.56

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 122,424 and was likely granted around 1871.

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

Related reading

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