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122,748

122,748 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.).

122,748 (one hundred twenty-two thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 53 × 193. Its proper divisors sum to 170,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF7C.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
896
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
847,221
Square (n²)
15,067,071,504
Cube (n³)
1,849,452,892,972,992
Divisor count
24
σ(n) — sum of divisors
293,328
φ(n) — Euler's totient
39,936
Sum of prime factors
253

Primality

Prime factorization: 2 2 × 3 × 53 × 193

Nearest primes: 122,743 (−5) · 122,753 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 53 · 106 · 159 · 193 · 212 · 318 · 386 · 579 · 636 · 772 · 1158 · 2316 · 10229 · 20458 · 30687 · 40916 · 61374 (half) · 122748
Aliquot sum (sum of proper divisors): 170,580
Factor pairs (a × b = 122,748)
1 × 122748
2 × 61374
3 × 40916
4 × 30687
6 × 20458
12 × 10229
53 × 2316
106 × 1158
159 × 772
193 × 636
212 × 579
318 × 386
First multiples
122,748 · 245,496 (double) · 368,244 · 490,992 · 613,740 · 736,488 · 859,236 · 981,984 · 1,104,732 · 1,227,480

Sums & aliquot sequence

As consecutive integers: 40,915 + 40,916 + 40,917 15,340 + 15,341 + … + 15,347 5,103 + 5,104 + … + 5,126 2,290 + 2,291 + … + 2,342
Aliquot sequence: 122,748 170,580 307,212 409,644 652,676 489,514 248,054 129,346 92,414 79,954 57,134 53,674 28,694 14,350 16,898 14,206 7,106 — unresolved within range

Continued fraction of √n

√122,748 = [350; (2, 1, 4, 1, 2, 6, 1, 6, 1, 2, 28, 1, 5, 1, 1, 2, 1, 1, 11, 3, 2, 1, 1, 174, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand seven hundred forty-eight
Ordinal
122748th
Binary
11101111101111100
Octal
357574
Hexadecimal
0x1DF7C
Base64
Ad98
One's complement
4,294,844,547 (32-bit)
Scientific notation
1.22748 × 10⁵
As a duration
122,748 s = 1 day, 10 hours, 5 minutes, 48 seconds
In other bases
ternary (3) 20020101020
quaternary (4) 131331330
quinary (5) 12411443
senary (6) 2344140
septenary (7) 1020603
nonary (9) 206336
undecimal (11) 8424a
duodecimal (12) 5b050
tridecimal (13) 43b42
tetradecimal (14) 32a3a
pentadecimal (15) 26583

As an angle

122,748° = 340 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβψμηʹ
Mayan (base 20)
𝋯·𝋦·𝋱·𝋨
Chinese
一十二萬二千七百四十八
Chinese (financial)
壹拾貳萬貳仟柒佰肆拾捌
In other modern scripts
Eastern Arabic ١٢٢٧٤٨ Devanagari १२२७४८ Bengali ১২২৭৪৮ Tamil ௧௨௨௭௪௮ Thai ๑๒๒๗๔๘ Tibetan ༡༢༢༧༤༨ Khmer ១២២៧៤៨ Lao ໑໒໒໗໔໘ Burmese ၁၂၂၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122748, here are decompositions:

  • 5 + 122743 = 122748
  • 7 + 122741 = 122748
  • 29 + 122719 = 122748
  • 47 + 122701 = 122748
  • 97 + 122651 = 122748
  • 137 + 122611 = 122748
  • 139 + 122609 = 122748
  • 149 + 122599 = 122748

Showing the first eight; more decompositions exist.

Hex color
#01DF7C
RGB(1, 223, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.124.

Address
0.1.223.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.124

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 122,748 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 122748 first appears in π at position 189,209 of the decimal expansion (the 189,209ordinal-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°.