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122,642

122,642 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.).

122,642 (one hundred twenty-two thousand six hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 53 × 89. Written other ways, in hexadecimal, 0x1DF12.

Cube-Free Deficient Number Evil Number Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
192
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
246,221
Square (n²)
15,041,060,164
Cube (n³)
1,844,665,700,633,288
Divisor count
16
σ(n) — sum of divisors
204,120
φ(n) — Euler's totient
54,912
Sum of prime factors
157

Primality

Prime factorization: 2 × 13 × 53 × 89

Nearest primes: 122,611 (−31) · 122,651 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 53 · 89 · 106 · 178 · 689 · 1157 · 1378 · 2314 · 4717 · 9434 · 61321 (half) · 122642
Aliquot sum (sum of proper divisors): 81,478
Factor pairs (a × b = 122,642)
1 × 122642
2 × 61321
13 × 9434
26 × 4717
53 × 2314
89 × 1378
106 × 1157
178 × 689
First multiples
122,642 · 245,284 (double) · 367,926 · 490,568 · 613,210 · 735,852 · 858,494 · 981,136 · 1,103,778 · 1,226,420

Sums & aliquot sequence

As a sum of two squares: 29² + 349² = 161² + 311² = 179² + 301² = 209² + 281²
As consecutive integers: 30,659 + 30,660 + 30,661 + 30,662 9,428 + 9,429 + … + 9,440 2,333 + 2,334 + … + 2,384 2,288 + 2,289 + … + 2,340
Aliquot sequence: 122,642 81,478 40,742 25,114 13,946 8,134 6,230 6,730 5,402 3,034 1,754 880 1,352 1,393 207 105 87 — unresolved within range

Continued fraction of √n

√122,642 = [350; (4, 1, 13, 2, 40, 1, 2, 1, 1, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 5, 1, 1, 2, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand six hundred forty-two
Ordinal
122642nd
Binary
11101111100010010
Octal
357422
Hexadecimal
0x1DF12
Base64
Ad8S
One's complement
4,294,844,653 (32-bit)
Scientific notation
1.22642 × 10⁵
As a duration
122,642 s = 1 day, 10 hours, 4 minutes, 2 seconds
In other bases
ternary (3) 20020020022
quaternary (4) 131330102
quinary (5) 12411032
senary (6) 2343442
septenary (7) 1020362
nonary (9) 206208
undecimal (11) 84163
duodecimal (12) 5ab82
tridecimal (13) 43a90
tetradecimal (14) 329a2
pentadecimal (15) 26512

As an angle

122,642° = 340 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβχμβʹ
Mayan (base 20)
𝋯·𝋦·𝋬·𝋢
Chinese
一十二萬二千六百四十二
Chinese (financial)
壹拾貳萬貳仟陸佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٢٦٤٢ Devanagari १२२६४२ Bengali ১২২৬৪২ Tamil ௧௨௨௬௪௨ Thai ๑๒๒๖๔๒ Tibetan ༡༢༢༦༤༢ Khmer ១២២៦៤២ Lao ໑໒໒໖໔໒ Burmese ၁၂၂၆၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122642, here are decompositions:

  • 31 + 122611 = 122642
  • 43 + 122599 = 122642
  • 109 + 122533 = 122642
  • 139 + 122503 = 122642
  • 193 + 122449 = 122642
  • 199 + 122443 = 122642
  • 241 + 122401 = 122642
  • 379 + 122263 = 122642

Showing the first eight; more decompositions exist.

Unicode codepoint
𝼒
Latin Small Letter Dezh Digraph With Palatal Hook
U+1DF12
Lowercase letter (Ll)

UTF-8 encoding: F0 9D BC 92 (4 bytes).

Hex color
#01DF12
RGB(1, 223, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.18.

Address
0.1.223.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.18

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 122,642 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 122642 first appears in π at position 604,166 of the decimal expansion (the 604,166ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.