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122,076

122,076 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.).

122,076 (one hundred twenty-two thousand seventy-six) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,391. Its proper divisors sum to 186,596, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DCDC.

Abundant Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious 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
670,221
Square (n²)
14,902,549,776
Cube (n³)
1,819,243,666,454,976
Divisor count
18
σ(n) — sum of divisors
308,672
φ(n) — Euler's totient
40,680
Sum of prime factors
3,401

Primality

Prime factorization: 2 2 × 3 2 × 3391

Nearest primes: 122,069 (−7) · 122,081 (+5)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3391 · 6782 · 10173 · 13564 · 20346 · 30519 · 40692 · 61038 (half) · 122076
Aliquot sum (sum of proper divisors): 186,596
Factor pairs (a × b = 122,076)
1 × 122076
2 × 61038
3 × 40692
4 × 30519
6 × 20346
9 × 13564
12 × 10173
18 × 6782
36 × 3391
First multiples
122,076 · 244,152 (double) · 366,228 · 488,304 · 610,380 · 732,456 · 854,532 · 976,608 · 1,098,684 · 1,220,760

Sums & aliquot sequence

As consecutive integers: 40,691 + 40,692 + 40,693 15,256 + 15,257 + … + 15,263 13,560 + 13,561 + … + 13,568 5,075 + 5,076 + … + 5,098
Aliquot sequence: 122,076 186,596 139,954 90,446 48,658 24,332 29,428 29,484 65,380 91,868 103,684 116,963 36,637 1 0 — terminates at zero

Continued fraction of √n

√122,076 = [349; (2, 1, 1, 5, 1, 4, 3, 2, 4, 1, 2, 1, 9, 9, 1, 1, 1, 1, 14, 3, 1, 3, 1, 4, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand seventy-six
Ordinal
122076th
Binary
11101110011011100
Octal
356334
Hexadecimal
0x1DCDC
Base64
Adzc
One's complement
4,294,845,219 (32-bit)
Scientific notation
1.22076 × 10⁵
As a duration
122,076 s = 1 day, 9 hours, 54 minutes, 36 seconds
In other bases
ternary (3) 20012110100
quaternary (4) 131303130
quinary (5) 12401301
senary (6) 2341100
septenary (7) 1015623
nonary (9) 205410
undecimal (11) 83799
duodecimal (12) 5a790
tridecimal (13) 43746
tetradecimal (14) 326ba
pentadecimal (15) 26286

As an angle

122,076° = 339 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβοϛʹ
Mayan (base 20)
𝋯·𝋥·𝋣·𝋰
Chinese
一十二萬二千零七十六
Chinese (financial)
壹拾貳萬貳仟零柒拾陸
In other modern scripts
Eastern Arabic ١٢٢٠٧٦ Devanagari १२२०७६ Bengali ১২২০৭৬ Tamil ௧௨௨௦௭௬ Thai ๑๒๒๐๗๖ Tibetan ༡༢༢༠༧༦ Khmer ១២២០៧៦ Lao ໑໒໒໐໗໖ Burmese ၁၂၂၀၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122076, here are decompositions:

  • 7 + 122069 = 122076
  • 23 + 122053 = 122076
  • 37 + 122039 = 122076
  • 43 + 122033 = 122076
  • 47 + 122029 = 122076
  • 79 + 121997 = 122076
  • 83 + 121993 = 122076
  • 109 + 121967 = 122076

Showing the first eight; more decompositions exist.

Hex color
#01DCDC
RGB(1, 220, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.220.

Address
0.1.220.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.220

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 122,076 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 122076 first appears in π at position 385,737 of the decimal expansion (the 385,737ordinal-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°.