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117,124

117,124 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.).

117,124 (one hundred seventeen thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 47 × 89. Its proper divisors sum to 124,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C984.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
56
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
421,711
Square (n²)
13,718,031,376
Cube (n³)
1,606,710,706,882,624
Divisor count
24
σ(n) — sum of divisors
241,920
φ(n) — Euler's totient
48,576
Sum of prime factors
147

Primality

Prime factorization: 2 2 × 7 × 47 × 89

Nearest primes: 117,119 (−5) · 117,127 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 47 · 89 · 94 · 178 · 188 · 329 · 356 · 623 · 658 · 1246 · 1316 · 2492 · 4183 · 8366 · 16732 · 29281 · 58562 (half) · 117124
Aliquot sum (sum of proper divisors): 124,796
Factor pairs (a × b = 117,124)
1 × 117124
2 × 58562
4 × 29281
7 × 16732
14 × 8366
28 × 4183
47 × 2492
89 × 1316
94 × 1246
178 × 658
188 × 623
329 × 356
First multiples
117,124 · 234,248 (double) · 351,372 · 468,496 · 585,620 · 702,744 · 819,868 · 936,992 · 1,054,116 · 1,171,240

Sums & aliquot sequence

As consecutive integers: 16,729 + 16,730 + … + 16,735 14,637 + 14,638 + … + 14,644 2,469 + 2,470 + … + 2,515 2,064 + 2,065 + … + 2,119
Aliquot sequence: 117,124 124,796 124,852 149,646 199,194 199,206 353,754 432,486 528,714 646,326 790,074 980,640 2,466,720 6,181,920 16,128,396 26,196,936 39,423,864 — unresolved within range

Continued fraction of √n

√117,124 = [342; (4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 3, 12, 1, 1, 1, 4, 1, 2, 4, 1, 1, 3, 14, 3, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand one hundred twenty-four
Ordinal
117124th
Binary
11100100110000100
Octal
344604
Hexadecimal
0x1C984
Base64
AcmE
One's complement
4,294,850,171 (32-bit)
Scientific notation
1.17124 × 10⁵
As a duration
117,124 s = 1 day, 8 hours, 32 minutes, 4 seconds
In other bases
ternary (3) 12221122221
quaternary (4) 130212010
quinary (5) 12221444
senary (6) 2302124
septenary (7) 665320
nonary (9) 187587
undecimal (11) 7aaa7
duodecimal (12) 57944
tridecimal (13) 41407
tetradecimal (14) 30980
pentadecimal (15) 24a84
Palindromic in base 11

As an angle

117,124° = 325 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζρκδʹ
Mayan (base 20)
𝋮·𝋬·𝋰·𝋤
Chinese
一十一萬七千一百二十四
Chinese (financial)
壹拾壹萬柒仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١١٧١٢٤ Devanagari ११७१२४ Bengali ১১৭১২৪ Tamil ௧௧௭௧௨௪ Thai ๑๑๗๑๒๔ Tibetan ༡༡༧༡༢༤ Khmer ១១៧១២៤ Lao ໑໑໗໑໒໔ Burmese ၁၁၇၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117124, here are decompositions:

  • 5 + 117119 = 117124
  • 23 + 117101 = 117124
  • 53 + 117071 = 117124
  • 71 + 117053 = 117124
  • 83 + 117041 = 117124
  • 101 + 117023 = 117124
  • 107 + 117017 = 117124
  • 131 + 116993 = 117124

Showing the first eight; more decompositions exist.

Hex color
#01C984
RGB(1, 201, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.132.

Address
0.1.201.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.132

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 117,124 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 117124 first appears in π at position 129,513 of the decimal expansion (the 129,513ordinal-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