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124,124

124,124 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.).

124,124 (one hundred twenty-four thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 11 × 13 × 31. Its proper divisors sum to 176,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E4DC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
64
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
421,421
Recamán's sequence
a(237,916) = 124,124
Square (n²)
15,406,767,376
Cube (n³)
1,912,349,593,778,624
Divisor count
48
σ(n) — sum of divisors
301,056
φ(n) — Euler's totient
43,200
Sum of prime factors
66

Primality

Prime factorization: 2 2 × 7 × 11 × 13 × 31

Nearest primes: 124,123 (−1) · 124,133 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 11 · 13 · 14 · 22 · 26 · 28 · 31 · 44 · 52 · 62 · 77 · 91 · 124 · 143 · 154 · 182 · 217 · 286 · 308 · 341 · 364 · 403 · 434 · 572 · 682 · 806 · 868 · 1001 · 1364 · 1612 · 2002 · 2387 · 2821 · 4004 · 4433 · 4774 · 5642 · 8866 · 9548 · 11284 · 17732 · 31031 · 62062 (half) · 124124
Aliquot sum (sum of proper divisors): 176,932
Factor pairs (a × b = 124,124)
1 × 124124
2 × 62062
4 × 31031
7 × 17732
11 × 11284
13 × 9548
14 × 8866
22 × 5642
26 × 4774
28 × 4433
31 × 4004
44 × 2821
52 × 2387
62 × 2002
77 × 1612
91 × 1364
124 × 1001
143 × 868
154 × 806
182 × 682
217 × 572
286 × 434
308 × 403
341 × 364
First multiples
124,124 · 248,248 (double) · 372,372 · 496,496 · 620,620 · 744,744 · 868,868 · 992,992 · 1,117,116 · 1,241,240

Sums & aliquot sequence

As consecutive integers: 17,729 + 17,730 + … + 17,735 15,512 + 15,513 + … + 15,519 11,279 + 11,280 + … + 11,289 9,542 + 9,543 + … + 9,554
Aliquot sequence: 124,124 176,932 185,948 200,452 200,508 412,356 687,484 721,924 890,876 890,932 931,532 1,165,108 1,165,164 2,522,772 5,218,668 11,903,892 25,427,052 — unresolved within range

Continued fraction of √n

√124,124 = [352; (3, 4, 1, 27, 2, 1, 2, 5, 1, 6, 4, 1, 12, 176, 12, 1, 4, 6, 1, 5, 2, 1, 2, 27, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand one hundred twenty-four
Ordinal
124124th
Binary
11110010011011100
Octal
362334
Hexadecimal
0x1E4DC
Base64
AeTc
One's complement
4,294,843,171 (32-bit)
Scientific notation
1.24124 × 10⁵
As a duration
124,124 s = 1 day, 10 hours, 28 minutes, 44 seconds
In other bases
ternary (3) 20022021012
quaternary (4) 132103130
quinary (5) 12432444
senary (6) 2354352
septenary (7) 1024610
nonary (9) 208235
undecimal (11) 85290
duodecimal (12) 5b9b8
tridecimal (13) 44660
tetradecimal (14) 33340
pentadecimal (15) 26b9e

As an angle

124,124° = 344 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκδρκδʹ
Mayan (base 20)
𝋯·𝋪·𝋦·𝋤
Chinese
一十二萬四千一百二十四
Chinese (financial)
壹拾貳萬肆仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١٢٤١٢٤ Devanagari १२४१२४ Bengali ১২৪১২৪ Tamil ௧௨௪௧௨௪ Thai ๑๒๔๑๒๔ Tibetan ༡༢༤༡༢༤ Khmer ១២៤១២៤ Lao ໑໒໔໑໒໔ Burmese ၁၂၄၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124124, here are decompositions:

  • 3 + 124121 = 124124
  • 37 + 124087 = 124124
  • 103 + 124021 = 124124
  • 127 + 123997 = 124124
  • 151 + 123973 = 124124
  • 193 + 123931 = 124124
  • 271 + 123853 = 124124
  • 307 + 123817 = 124124

Showing the first eight; more decompositions exist.

Unicode codepoint
𞓜
Nag Mundari Letter Idd
U+1E4DC
Other letter (Lo)

UTF-8 encoding: F0 9E 93 9C (4 bytes).

Hex color
#01E4DC
RGB(1, 228, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.228.220.

Address
0.1.228.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.228.220

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 124,124 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 124124 first appears in π at position 120,759 of the decimal expansion (the 120,759ordinal-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.