number.wiki
Live analysis

122,738

122,738 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.).

122,738 (one hundred twenty-two thousand seven hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 11 × 797. Written other ways, in hexadecimal, 0x1DF72.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
837,221
Square (n²)
15,064,616,644
Cube (n³)
1,849,000,917,651,272
Divisor count
16
σ(n) — sum of divisors
229,824
φ(n) — Euler's totient
47,760
Sum of prime factors
817

Primality

Prime factorization: 2 × 7 × 11 × 797

Nearest primes: 122,719 (−19) · 122,741 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 11 · 14 · 22 · 77 · 154 · 797 · 1594 · 5579 · 8767 · 11158 · 17534 · 61369 (half) · 122738
Aliquot sum (sum of proper divisors): 107,086
Factor pairs (a × b = 122,738)
1 × 122738
2 × 61369
7 × 17534
11 × 11158
14 × 8767
22 × 5579
77 × 1594
154 × 797
First multiples
122,738 · 245,476 (double) · 368,214 · 490,952 · 613,690 · 736,428 · 859,166 · 981,904 · 1,104,642 · 1,227,380

Sums & aliquot sequence

As consecutive integers: 30,683 + 30,684 + 30,685 + 30,686 17,531 + 17,532 + … + 17,537 11,153 + 11,154 + … + 11,163 4,370 + 4,371 + … + 4,397
Aliquot sequence: 122,738 107,086 76,514 40,174 21,386 13,612 11,084 9,580 10,580 12,646 6,326 3,166 1,586 1,018 512 511 81 — unresolved within range

Continued fraction of √n

√122,738 = [350; (2, 1, 16, 2, 2, 1, 2, 1, 8, 1, 6, 1, 1, 3, 1, 9, 11, 5, 41, 50, 41, 5, 11, 9, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand seven hundred thirty-eight
Ordinal
122738th
Binary
11101111101110010
Octal
357562
Hexadecimal
0x1DF72
Base64
Ad9y
One's complement
4,294,844,557 (32-bit)
Scientific notation
1.22738 × 10⁵
As a duration
122,738 s = 1 day, 10 hours, 5 minutes, 38 seconds
In other bases
ternary (3) 20020100212
quaternary (4) 131331302
quinary (5) 12411423
senary (6) 2344122
septenary (7) 1020560
nonary (9) 206325
undecimal (11) 84240
duodecimal (12) 5b042
tridecimal (13) 43b35
tetradecimal (14) 32a30
pentadecimal (15) 26578

As an angle

122,738° = 340 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβψληʹ
Mayan (base 20)
𝋯·𝋦·𝋰·𝋲
Chinese
一十二萬二千七百三十八
Chinese (financial)
壹拾貳萬貳仟柒佰參拾捌
In other modern scripts
Eastern Arabic ١٢٢٧٣٨ Devanagari १२२७३८ Bengali ১২২৭৩৮ Tamil ௧௨௨௭௩௮ Thai ๑๒๒๗๓๘ Tibetan ༡༢༢༧༣༨ Khmer ១២២៧៣៨ Lao ໑໒໒໗໓໘ Burmese ၁၂၂၇၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122738, here are decompositions:

  • 19 + 122719 = 122738
  • 37 + 122701 = 122738
  • 127 + 122611 = 122738
  • 139 + 122599 = 122738
  • 181 + 122557 = 122738
  • 211 + 122527 = 122738
  • 229 + 122509 = 122738
  • 241 + 122497 = 122738

Showing the first eight; more decompositions exist.

Hex color
#01DF72
RGB(1, 223, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.114.

Address
0.1.223.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.114

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 122,738 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

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