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122,802

122,802 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.).

122,802 (one hundred twenty-two thousand eight hundred two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 97 × 211. Its proper divisors sum to 126,510, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DFB2.

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
208,221
Square (n²)
15,080,331,204
Cube (n³)
1,851,894,832,513,608
Divisor count
16
σ(n) — sum of divisors
249,312
φ(n) — Euler's totient
40,320
Sum of prime factors
313

Primality

Prime factorization: 2 × 3 × 97 × 211

Nearest primes: 122,789 (−13) · 122,819 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 97 · 194 · 211 · 291 · 422 · 582 · 633 · 1266 · 20467 · 40934 · 61401 (half) · 122802
Aliquot sum (sum of proper divisors): 126,510
Factor pairs (a × b = 122,802)
1 × 122802
2 × 61401
3 × 40934
6 × 20467
97 × 1266
194 × 633
211 × 582
291 × 422
First multiples
122,802 · 245,604 (double) · 368,406 · 491,208 · 614,010 · 736,812 · 859,614 · 982,416 · 1,105,218 · 1,228,020

Sums & aliquot sequence

As consecutive integers: 40,933 + 40,934 + 40,935 30,699 + 30,700 + 30,701 + 30,702 10,228 + 10,229 + … + 10,239 1,218 + 1,219 + … + 1,314
Aliquot sequence: 122,802 126,510 177,186 177,198 227,922 227,934 366,114 509,406 527,394 722,526 929,058 1,125,918 1,350,738 1,575,900 3,705,012 5,765,904 10,979,552 — unresolved within range

Continued fraction of √n

√122,802 = [350; (2, 3, 7, 1, 1, 2, 3, 3, 1, 1, 1, 4, 350, 4, 1, 1, 1, 3, 3, 2, 1, 1, 7, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand eight hundred two
Ordinal
122802nd
Binary
11101111110110010
Octal
357662
Hexadecimal
0x1DFB2
Base64
Ad+y
One's complement
4,294,844,493 (32-bit)
Scientific notation
1.22802 × 10⁵
As a duration
122,802 s = 1 day, 10 hours, 6 minutes, 42 seconds
In other bases
ternary (3) 20020110020
quaternary (4) 131332302
quinary (5) 12412202
senary (6) 2344310
septenary (7) 1021011
nonary (9) 206406
undecimal (11) 84299
duodecimal (12) 5b096
tridecimal (13) 43b84
tetradecimal (14) 32a78
pentadecimal (15) 265bc

As an angle

122,802° = 341 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρκβωβʹ
Mayan (base 20)
𝋯·𝋧·𝋠·𝋢
Chinese
一十二萬二千八百零二
Chinese (financial)
壹拾貳萬貳仟捌佰零貳
In other modern scripts
Eastern Arabic ١٢٢٨٠٢ Devanagari १२२८०२ Bengali ১২২৮০২ Tamil ௧௨௨௮௦௨ Thai ๑๒๒๘๐๒ Tibetan ༡༢༢༨༠༢ Khmer ១២២៨០២ Lao ໑໒໒໘໐໒ Burmese ၁၂၂၈၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122802, here are decompositions:

  • 13 + 122789 = 122802
  • 41 + 122761 = 122802
  • 59 + 122743 = 122802
  • 61 + 122741 = 122802
  • 83 + 122719 = 122802
  • 101 + 122701 = 122802
  • 109 + 122693 = 122802
  • 139 + 122663 = 122802

Showing the first eight; more decompositions exist.

Hex color
#01DFB2
RGB(1, 223, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.178.

Address
0.1.223.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.178

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 122,802 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°.