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107,124

107,124 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.).

107,124 (one hundred seven thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 79 × 113. Its proper divisors sum to 148,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A274.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
421,701
Recamán's sequence
a(82,303) = 107,124
Square (n²)
11,475,551,376
Cube (n³)
1,229,306,965,602,624
Divisor count
24
σ(n) — sum of divisors
255,360
φ(n) — Euler's totient
34,944
Sum of prime factors
199

Primality

Prime factorization: 2 2 × 3 × 79 × 113

Nearest primes: 107,123 (−1) · 107,137 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 79 · 113 · 158 · 226 · 237 · 316 · 339 · 452 · 474 · 678 · 948 · 1356 · 8927 · 17854 · 26781 · 35708 · 53562 (half) · 107124
Aliquot sum (sum of proper divisors): 148,236
Factor pairs (a × b = 107,124)
1 × 107124
2 × 53562
3 × 35708
4 × 26781
6 × 17854
12 × 8927
79 × 1356
113 × 948
158 × 678
226 × 474
237 × 452
316 × 339
First multiples
107,124 · 214,248 (double) · 321,372 · 428,496 · 535,620 · 642,744 · 749,868 · 856,992 · 964,116 · 1,071,240

Sums & aliquot sequence

As consecutive integers: 35,707 + 35,708 + 35,709 13,387 + 13,388 + … + 13,394 4,452 + 4,453 + … + 4,475 1,317 + 1,318 + … + 1,395
Aliquot sequence: 107,124 → 148,236 → 229,428 → 350,606 → 175,306 → 109,238 → 56,050 → 55,550 → 58,282 → 46,550 → 59,470 → 53,570 → 51,838 → 25,922 → 15,994 → 10,214 → 5,110 — unresolved within range

Continued fraction of √n

√107,124 = [327; (3, 2, 1, 4, 2, 1, 2, 25, 1, 4, 3, 6, 2, 3, 2, 2, 3, 1, 1, 2, 1, 1, 2, 1, …)]

Representations

In words
one hundred seven thousand one hundred twenty-four
Ordinal
107124th
Binary
11010001001110100
Octal
321164
Hexadecimal
0x1A274
Base64
AaJ0
One's complement
4,294,860,171 (32-bit)
Scientific notation
1.07124 × 10⁵
As a duration
107,124 s = 1 day, 5 hours, 45 minutes, 24 seconds
In other bases
ternary (3) 12102221120
quaternary (4) 122021310
quinary (5) 11411444
senary (6) 2143540
septenary (7) 624213
nonary (9) 172846
undecimal (11) 73536
duodecimal (12) 51bb0
tridecimal (13) 399b4
tetradecimal (14) 2b07a
pentadecimal (15) 21b19

As an angle

107,124° = 297 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζρκδʹ
Mayan (base 20)
𝋭·𝋧·𝋰·𝋤
Chinese
十萬七千一百二十四
Chinese (financial)
壹拾萬柒仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٧١٢٤ Devanagari १०७१२४ Bengali ১০৭১২৪ Tamil ௧௦௭௧௨௪ Thai ๑๐๗๑๒๔ Tibetan ༡༠༧༡༢༤ Khmer ១០៧១២៤ Lao ໑໐໗໑໒໔ Burmese ၁၀၇၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107124, here are decompositions:

  • 5 + 107119 = 107124
  • 23 + 107101 = 107124
  • 47 + 107077 = 107124
  • 53 + 107071 = 107124
  • 67 + 107057 = 107124
  • 71 + 107053 = 107124
  • 103 + 107021 = 107124
  • 131 + 106993 = 107124

Showing the first eight; more decompositions exist.

Hex color
#01A274
RGB(1, 162, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.116.

Address
0.1.162.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.116

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 107,124 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 107124 first appears in π at position 519,793 of the decimal expansion (the 519,793ordinal-suffix:rd 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°.