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122,744

122,744 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.).

122,744 (one hundred twenty-two thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 67 × 229. Written other ways, in hexadecimal, 0x1DF78.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
448
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
447,221
Square (n²)
15,066,089,536
Cube (n³)
1,849,272,094,006,784
Divisor count
16
σ(n) — sum of divisors
234,600
φ(n) — Euler's totient
60,192
Sum of prime factors
302

Primality

Prime factorization: 2 3 × 67 × 229

Nearest primes: 122,743 (−1) · 122,753 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 67 · 134 · 229 · 268 · 458 · 536 · 916 · 1832 · 15343 · 30686 · 61372 (half) · 122744
Aliquot sum (sum of proper divisors): 111,856
Factor pairs (a × b = 122,744)
1 × 122744
2 × 61372
4 × 30686
8 × 15343
67 × 1832
134 × 916
229 × 536
268 × 458
First multiples
122,744 · 245,488 (double) · 368,232 · 490,976 · 613,720 · 736,464 · 859,208 · 981,952 · 1,104,696 · 1,227,440

Sums & aliquot sequence

As consecutive integers: 7,664 + 7,665 + … + 7,679 1,799 + 1,800 + … + 1,865 422 + 423 + … + 650
Aliquot sequence: 122,744 111,856 104,896 123,704 147,136 190,684 189,556 142,174 74,474 42,166 23,354 11,680 16,292 12,226 6,116 5,644 4,940 — unresolved within range

Continued fraction of √n

√122,744 = [350; (2, 1, 6, 1, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 34, 2, 2, 1, 1, 8, 1, 1, 1, 2, …)]

Representations

In words
one hundred twenty-two thousand seven hundred forty-four
Ordinal
122744th
Binary
11101111101111000
Octal
357570
Hexadecimal
0x1DF78
Base64
Ad94
One's complement
4,294,844,551 (32-bit)
Scientific notation
1.22744 × 10⁵
As a duration
122,744 s = 1 day, 10 hours, 5 minutes, 44 seconds
In other bases
ternary (3) 20020101002
quaternary (4) 131331320
quinary (5) 12411434
senary (6) 2344132
septenary (7) 1020566
nonary (9) 206332
undecimal (11) 84246
duodecimal (12) 5b048
tridecimal (13) 43b3b
tetradecimal (14) 32a36
pentadecimal (15) 2657e

As an angle

122,744° = 340 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβψμδʹ
Mayan (base 20)
𝋯·𝋦·𝋱·𝋤
Chinese
一十二萬二千七百四十四
Chinese (financial)
壹拾貳萬貳仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ١٢٢٧٤٤ Devanagari १२२७४४ Bengali ১২২৭৪৪ Tamil ௧௨௨௭௪௪ Thai ๑๒๒๗๔๔ Tibetan ༡༢༢༧༤༤ Khmer ១២២៧៤៤ Lao ໑໒໒໗໔໔ Burmese ၁၂၂၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122744, here are decompositions:

  • 3 + 122741 = 122744
  • 43 + 122701 = 122744
  • 211 + 122533 = 122744
  • 241 + 122503 = 122744
  • 397 + 122347 = 122744
  • 421 + 122323 = 122744
  • 541 + 122203 = 122744
  • 571 + 122173 = 122744

Showing the first eight; more decompositions exist.

Hex color
#01DF78
RGB(1, 223, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.120.

Address
0.1.223.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.120

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 122,744 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 122744 first appears in π at position 471,585 of the decimal expansion (the 471,585ordinal-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.