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124,304

124,304 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.).

124,304 (one hundred twenty-four thousand three hundred four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 457. Its proper divisors sum to 131,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E590.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
403,421
Recamán's sequence
a(237,556) = 124,304
Square (n²)
15,451,484,416
Cube (n³)
1,920,681,318,846,464
Divisor count
20
σ(n) — sum of divisors
255,564
φ(n) — Euler's totient
58,368
Sum of prime factors
482

Primality

Prime factorization: 2 4 × 17 × 457

Nearest primes: 124,303 (−1) · 124,309 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 457 · 914 · 1828 · 3656 · 7312 · 7769 · 15538 · 31076 · 62152 (half) · 124304
Aliquot sum (sum of proper divisors): 131,260
Factor pairs (a × b = 124,304)
1 × 124304
2 × 62152
4 × 31076
8 × 15538
16 × 7769
17 × 7312
34 × 3656
68 × 1828
136 × 914
272 × 457
First multiples
124,304 · 248,608 (double) · 372,912 · 497,216 · 621,520 · 745,824 · 870,128 · 994,432 · 1,118,736 · 1,243,040

Sums & aliquot sequence

As a sum of two squares: 20² + 352² = 148² + 320²
As consecutive integers: 7,304 + 7,305 + … + 7,320 3,869 + 3,870 + … + 3,900 44 + 45 + … + 500
Aliquot sequence: 124,304 131,260 144,428 108,328 113,432 118,768 129,480 293,880 627,720 1,255,800 3,743,880 9,095,160 18,190,680 41,399,400 105,287,640 210,575,640 489,160,680 — unresolved within range

Continued fraction of √n

√124,304 = [352; (1, 1, 3, 5, 4, 2, 12, 2, 1, 2, 14, 1, 1, 1, 2, 3, 2, 3, 2, 1, 1, 1, 14, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand three hundred four
Ordinal
124304th
Binary
11110010110010000
Octal
362620
Hexadecimal
0x1E590
Base64
AeWQ
One's complement
4,294,842,991 (32-bit)
Scientific notation
1.24304 × 10⁵
As a duration
124,304 s = 1 day, 10 hours, 31 minutes, 44 seconds
In other bases
ternary (3) 20022111212
quaternary (4) 132112100
quinary (5) 12434204
senary (6) 2355252
septenary (7) 1025255
nonary (9) 208455
undecimal (11) 85434
duodecimal (12) 5bb28
tridecimal (13) 4476b
tetradecimal (14) 3342c
pentadecimal (15) 26c6e

As an angle

124,304° = 345 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκδτδʹ
Mayan (base 20)
𝋯·𝋪·𝋯·𝋤
Chinese
一十二萬四千三百零四
Chinese (financial)
壹拾貳萬肆仟參佰零肆
In other modern scripts
Eastern Arabic ١٢٤٣٠٤ Devanagari १२४३०४ Bengali ১২৪৩০৪ Tamil ௧௨௪௩௦௪ Thai ๑๒๔๓๐๔ Tibetan ༡༢༤༣༠༤ Khmer ១២៤៣០៤ Lao ໑໒໔໓໐໔ Burmese ၁၂၄၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124304, here are decompositions:

  • 3 + 124301 = 124304
  • 7 + 124297 = 124304
  • 13 + 124291 = 124304
  • 73 + 124231 = 124304
  • 151 + 124153 = 124304
  • 157 + 124147 = 124304
  • 181 + 124123 = 124304
  • 283 + 124021 = 124304

Showing the first eight; more decompositions exist.

Hex color
#01E590
RGB(1, 229, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.229.144.

Address
0.1.229.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.229.144

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 124,304 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 124304 first appears in π at position 978,082 of the decimal expansion (the 978,082ordinal-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

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