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122,664

122,664 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.).

122,664 (one hundred twenty-two thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 19 × 269. Its proper divisors sum to 201,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF28.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
466,221
Square (n²)
15,046,456,896
Cube (n³)
1,845,658,588,690,944
Divisor count
32
σ(n) — sum of divisors
324,000
φ(n) — Euler's totient
38,592
Sum of prime factors
297

Primality

Prime factorization: 2 3 × 3 × 19 × 269

Nearest primes: 122,663 (−1) · 122,693 (+29)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 19 · 24 · 38 · 57 · 76 · 114 · 152 · 228 · 269 · 456 · 538 · 807 · 1076 · 1614 · 2152 · 3228 · 5111 · 6456 · 10222 · 15333 · 20444 · 30666 · 40888 · 61332 (half) · 122664
Aliquot sum (sum of proper divisors): 201,336
Factor pairs (a × b = 122,664)
1 × 122664
2 × 61332
3 × 40888
4 × 30666
6 × 20444
8 × 15333
12 × 10222
19 × 6456
24 × 5111
38 × 3228
57 × 2152
76 × 1614
114 × 1076
152 × 807
228 × 538
269 × 456
First multiples
122,664 · 245,328 (double) · 367,992 · 490,656 · 613,320 · 735,984 · 858,648 · 981,312 · 1,103,976 · 1,226,640

Sums & aliquot sequence

As consecutive integers: 40,887 + 40,888 + 40,889 7,659 + 7,660 + … + 7,674 6,447 + 6,448 + … + 6,465 2,532 + 2,533 + … + 2,579
Aliquot sequence: 122,664 201,336 302,064 650,256 1,254,384 2,382,288 3,974,448 6,628,048 9,370,928 12,056,272 12,386,608 16,111,568 19,052,848 19,516,112 30,694,960 42,978,896 44,229,808 — unresolved within range

Continued fraction of √n

√122,664 = [350; (4, 3, 1, 2, 2, 2, 1, 1, 2, 9, 4, 1, 3, 1, 4, 9, 2, 1, 1, 2, 2, 2, 1, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand six hundred sixty-four
Ordinal
122664th
Binary
11101111100101000
Octal
357450
Hexadecimal
0x1DF28
Base64
Ad8o
One's complement
4,294,844,631 (32-bit)
Scientific notation
1.22664 × 10⁵
As a duration
122,664 s = 1 day, 10 hours, 4 minutes, 24 seconds
In other bases
ternary (3) 20020021010
quaternary (4) 131330220
quinary (5) 12411124
senary (6) 2343520
septenary (7) 1020423
nonary (9) 206233
undecimal (11) 84183
duodecimal (12) 5aba0
tridecimal (13) 43aa9
tetradecimal (14) 329ba
pentadecimal (15) 26529

As an angle

122,664° = 340 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβχξδʹ
Mayan (base 20)
𝋯·𝋦·𝋭·𝋤
Chinese
一十二萬二千六百六十四
Chinese (financial)
壹拾貳萬貳仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٢٦٦٤ Devanagari १२२६६४ Bengali ১২২৬৬৪ Tamil ௧௨௨௬௬௪ Thai ๑๒๒๖๖๔ Tibetan ༡༢༢༦༦༤ Khmer ១២២៦៦៤ Lao ໑໒໒໖໖໔ Burmese ၁၂၂၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122664, here are decompositions:

  • 11 + 122653 = 122664
  • 13 + 122651 = 122664
  • 53 + 122611 = 122664
  • 67 + 122597 = 122664
  • 103 + 122561 = 122664
  • 107 + 122557 = 122664
  • 131 + 122533 = 122664
  • 137 + 122527 = 122664

Showing the first eight; more decompositions exist.

Unicode codepoint
𝼨
Latin Small Letter R With Mid-Height Left Hook
U+1DF28
Lowercase letter (Ll)

UTF-8 encoding: F0 9D BC A8 (4 bytes).

Hex color
#01DF28
RGB(1, 223, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.40.

Address
0.1.223.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.40

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 122,664 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 122664 first appears in π at position 419,135 of the decimal expansion (the 419,135ordinal-suffix:th 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°.