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103,122

103,122 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.).

103,122 (one hundred three thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 17 × 337. Its proper divisors sum to 134,154, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x192D2.

Abundant Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
221,301
Recamán's sequence
a(96,487) = 103,122
Square (n²)
10,634,146,884
Cube (n³)
1,096,614,494,971,848
Divisor count
24
σ(n) — sum of divisors
237,276
φ(n) — Euler's totient
32,256
Sum of prime factors
362

Primality

Prime factorization: 2 × 3 2 × 17 × 337

Nearest primes: 103,099 (−23) · 103,123 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 17 · 18 · 34 · 51 · 102 · 153 · 306 · 337 · 674 · 1011 · 2022 · 3033 · 5729 · 6066 · 11458 · 17187 · 34374 · 51561 (half) · 103122
Aliquot sum (sum of proper divisors): 134,154
Factor pairs (a × b = 103,122)
1 × 103122
2 × 51561
3 × 34374
6 × 17187
9 × 11458
17 × 6066
18 × 5729
34 × 3033
51 × 2022
102 × 1011
153 × 674
306 × 337
First multiples
103,122 · 206,244 (double) · 309,366 · 412,488 · 515,610 · 618,732 · 721,854 · 824,976 · 928,098 · 1,031,220

Sums & aliquot sequence

As a sum of two squares: 9² + 321² = 159² + 279²
As consecutive integers: 34,373 + 34,374 + 34,375 25,779 + 25,780 + 25,781 + 25,782 11,454 + 11,455 + … + 11,462 8,588 + 8,589 + … + 8,599
Aliquot sequence: 103,122 134,154 167,706 289,062 371,898 474,822 593,154 734,718 734,730 1,122,870 1,957,578 2,564,406 3,628,314 4,502,160 12,312,612 21,206,328 43,144,392 — unresolved within range

Continued fraction of √n

√103,122 = [321; (7, 1, 12, 1, 3, 1, 3, 5, 1, 34, 1, 5, 3, 1, 3, 1, 12, 1, 7, 642)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand one hundred twenty-two
Ordinal
103122nd
Binary
11001001011010010
Octal
311322
Hexadecimal
0x192D2
Base64
AZLS
One's complement
4,294,864,173 (32-bit)
Scientific notation
1.03122 × 10⁵
As a duration
103,122 s = 1 day, 4 hours, 38 minutes, 42 seconds
In other bases
ternary (3) 12020110100
quaternary (4) 121023102
quinary (5) 11244442
senary (6) 2113230
septenary (7) 606435
nonary (9) 166410
undecimal (11) 70528
duodecimal (12) 4b816
tridecimal (13) 37c26
tetradecimal (14) 2981c
pentadecimal (15) 2084c

As an angle

103,122° = 286 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ργρκβʹ
Mayan (base 20)
𝋬·𝋱·𝋰·𝋢
Chinese
一十萬三千一百二十二
Chinese (financial)
壹拾萬參仟壹佰貳拾貳
In other modern scripts
Eastern Arabic ١٠٣١٢٢ Devanagari १०३१२२ Bengali ১০৩১২২ Tamil ௧௦௩௧௨௨ Thai ๑๐๓๑๒๒ Tibetan ༡༠༣༡༢༢ Khmer ១០៣១២២ Lao ໑໐໓໑໒໒ Burmese ၁၀၃၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103122, here are decompositions:

  • 23 + 103099 = 103122
  • 29 + 103093 = 103122
  • 31 + 103091 = 103122
  • 43 + 103079 = 103122
  • 53 + 103069 = 103122
  • 73 + 103049 = 103122
  • 79 + 103043 = 103122
  • 139 + 102983 = 103122

Showing the first eight; more decompositions exist.

Hex color
#0192D2
RGB(1, 146, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.146.210.

Address
0.1.146.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.146.210

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 103,122 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 103122 first appears in π at position 549,242 of the decimal expansion (the 549,242ordinal-suffix:nd 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°.