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122,406

122,406 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.).

122,406 (one hundred twenty-two thousand four hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 23 × 887. Its proper divisors sum to 133,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE26.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
604,221
Square (n²)
14,983,228,836
Cube (n³)
1,834,037,108,899,416
Divisor count
16
σ(n) — sum of divisors
255,744
φ(n) — Euler's totient
38,984
Sum of prime factors
915

Primality

Prime factorization: 2 × 3 × 23 × 887

Nearest primes: 122,401 (−5) · 122,443 (+37)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 23 · 46 · 69 · 138 · 887 · 1774 · 2661 · 5322 · 20401 · 40802 · 61203 (half) · 122406
Aliquot sum (sum of proper divisors): 133,338
Factor pairs (a × b = 122,406)
1 × 122406
2 × 61203
3 × 40802
6 × 20401
23 × 5322
46 × 2661
69 × 1774
138 × 887
First multiples
122,406 · 244,812 (double) · 367,218 · 489,624 · 612,030 · 734,436 · 856,842 · 979,248 · 1,101,654 · 1,224,060

Sums & aliquot sequence

As consecutive integers: 40,801 + 40,802 + 40,803 30,600 + 30,601 + 30,602 + 30,603 10,195 + 10,196 + … + 10,206 5,311 + 5,312 + … + 5,333
Aliquot sequence: 122,406 133,338 137,958 137,970 288,270 461,466 571,878 667,230 1,005,474 1,024,638 1,024,650 2,216,214 4,557,546 7,116,534 8,680,338 12,228,462 14,946,018 — unresolved within range

Continued fraction of √n

√122,406 = [349; (1, 6, 2, 4, 12, 1, 45, 1, 2, 1, 1, 1, 2, 4, 1, 1, 4, 1, 2, 27, 1, 1, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand four hundred six
Ordinal
122406th
Binary
11101111000100110
Octal
357046
Hexadecimal
0x1DE26
Base64
Ad4m
One's complement
4,294,844,889 (32-bit)
Scientific notation
1.22406 × 10⁵
As a duration
122,406 s = 1 day, 10 hours, 6 seconds
In other bases
ternary (3) 20012220120
quaternary (4) 131320212
quinary (5) 12404111
senary (6) 2342410
septenary (7) 1016604
nonary (9) 205816
undecimal (11) 83a69
duodecimal (12) 5aa06
tridecimal (13) 4393b
tetradecimal (14) 32874
pentadecimal (15) 26406

As an angle

122,406° = 340 × 360° + 6°
6° ≈ 0.105 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβυϛʹ
Mayan (base 20)
𝋯·𝋦·𝋠·𝋦
Chinese
一十二萬二千四百零六
Chinese (financial)
壹拾貳萬貳仟肆佰零陸
In other modern scripts
Eastern Arabic ١٢٢٤٠٦ Devanagari १२२४०६ Bengali ১২২৪০৬ Tamil ௧௨௨௪௦௬ Thai ๑๒๒๔๐๖ Tibetan ༡༢༢༤༠༦ Khmer ១២២៤០៦ Lao ໑໒໒໔໐໖ Burmese ၁၂၂၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122406, here are decompositions:

  • 5 + 122401 = 122406
  • 7 + 122399 = 122406
  • 13 + 122393 = 122406
  • 17 + 122389 = 122406
  • 19 + 122387 = 122406
  • 43 + 122363 = 122406
  • 59 + 122347 = 122406
  • 79 + 122327 = 122406

Showing the first eight; more decompositions exist.

Hex color
#01DE26
RGB(1, 222, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.38.

Address
0.1.222.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.38

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 122,406 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 122406 first appears in π at position 368,547 of the decimal expansion (the 368,547ordinal-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°.