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122,508

122,508 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.).

122,508 (one hundred twenty-two thousand five hundred eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 41 × 83. Its proper divisors sum to 198,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE8C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
805,221
Square (n²)
15,008,210,064
Cube (n³)
1,838,625,798,520,512
Divisor count
36
σ(n) — sum of divisors
321,048
φ(n) — Euler's totient
39,360
Sum of prime factors
134

Primality

Prime factorization: 2 2 × 3 2 × 41 × 83

Nearest primes: 122,503 (−5) · 122,509 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 41 · 82 · 83 · 123 · 164 · 166 · 246 · 249 · 332 · 369 · 492 · 498 · 738 · 747 · 996 · 1476 · 1494 · 2988 · 3403 · 6806 · 10209 · 13612 · 20418 · 30627 · 40836 · 61254 (half) · 122508
Aliquot sum (sum of proper divisors): 198,540
Factor pairs (a × b = 122,508)
1 × 122508
2 × 61254
3 × 40836
4 × 30627
6 × 20418
9 × 13612
12 × 10209
18 × 6806
36 × 3403
41 × 2988
82 × 1494
83 × 1476
123 × 996
164 × 747
166 × 738
246 × 498
249 × 492
332 × 369
First multiples
122,508 · 245,016 (double) · 367,524 · 490,032 · 612,540 · 735,048 · 857,556 · 980,064 · 1,102,572 · 1,225,080

Sums & aliquot sequence

As consecutive integers: 40,835 + 40,836 + 40,837 15,310 + 15,311 + … + 15,317 13,608 + 13,609 + … + 13,616 5,093 + 5,094 + … + 5,116
Aliquot sequence: 122,508 198,540 404,244 704,556 1,076,496 1,777,488 3,058,512 4,842,768 10,424,112 16,504,968 24,757,512 42,872,568 64,308,912 104,107,392 195,475,788 313,402,932 535,674,444 — unresolved within range

Continued fraction of √n

√122,508 = [350; (87, 1, 1, 174, 1, 1, 87, 700)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand five hundred eight
Ordinal
122508th
Binary
11101111010001100
Octal
357214
Hexadecimal
0x1DE8C
Base64
Ad6M
One's complement
4,294,844,787 (32-bit)
Scientific notation
1.22508 × 10⁵
As a duration
122,508 s = 1 day, 10 hours, 1 minute, 48 seconds
In other bases
ternary (3) 20020001100
quaternary (4) 131322030
quinary (5) 12410013
senary (6) 2343100
septenary (7) 1020111
nonary (9) 206040
undecimal (11) 84051
duodecimal (12) 5aa90
tridecimal (13) 439b9
tetradecimal (14) 32908
pentadecimal (15) 26473

As an angle

122,508° = 340 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβφηʹ
Mayan (base 20)
𝋯·𝋦·𝋥·𝋨
Chinese
一十二萬二千五百零八
Chinese (financial)
壹拾貳萬貳仟伍佰零捌
In other modern scripts
Eastern Arabic ١٢٢٥٠٨ Devanagari १२२५०८ Bengali ১২২৫০৮ Tamil ௧௨௨௫௦௮ Thai ๑๒๒๕๐๘ Tibetan ༡༢༢༥༠༨ Khmer ១២២៥០៨ Lao ໑໒໒໕໐໘ Burmese ၁၂၂၅၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122508, here are decompositions:

  • 5 + 122503 = 122508
  • 7 + 122501 = 122508
  • 11 + 122497 = 122508
  • 19 + 122489 = 122508
  • 31 + 122477 = 122508
  • 37 + 122471 = 122508
  • 59 + 122449 = 122508
  • 107 + 122401 = 122508

Showing the first eight; more decompositions exist.

Hex color
#01DE8C
RGB(1, 222, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.140.

Address
0.1.222.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.140

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 122,508 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 122508 first appears in π at position 856,983 of the decimal expansion (the 856,983ordinal-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°.