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117,964

117,964 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.).

117,964 (one hundred seventeen thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 11 × 383. Its proper divisors sum to 140,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCCC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
1,512
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
469,711
Square (n²)
13,915,505,296
Cube (n³)
1,641,528,666,737,344
Divisor count
24
σ(n) — sum of divisors
258,048
φ(n) — Euler's totient
45,840
Sum of prime factors
405

Primality

Prime factorization: 2 2 × 7 × 11 × 383

Nearest primes: 117,959 (−5) · 117,973 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 11 · 14 · 22 · 28 · 44 · 77 · 154 · 308 · 383 · 766 · 1532 · 2681 · 4213 · 5362 · 8426 · 10724 · 16852 · 29491 · 58982 (half) · 117964
Aliquot sum (sum of proper divisors): 140,084
Factor pairs (a × b = 117,964)
1 × 117964
2 × 58982
4 × 29491
7 × 16852
11 × 10724
14 × 8426
22 × 5362
28 × 4213
44 × 2681
77 × 1532
154 × 766
308 × 383
First multiples
117,964 · 235,928 (double) · 353,892 · 471,856 · 589,820 · 707,784 · 825,748 · 943,712 · 1,061,676 · 1,179,640

Sums & aliquot sequence

As consecutive integers: 16,849 + 16,850 + … + 16,855 14,742 + 14,743 + … + 14,749 10,719 + 10,720 + … + 10,729 2,079 + 2,080 + … + 2,134
Aliquot sequence: 117,964 140,084 140,140 262,052 275,548 318,724 318,780 939,204 1,774,780 2,563,148 2,563,204 2,730,364 3,192,980 4,470,508 4,607,764 4,772,726 3,409,114 — unresolved within range

Continued fraction of √n

√117,964 = [343; (2, 5, 1, 1, 2, 1, 1, 1, 7, 1, 1, 1, 4, 3, 1, 18, 3, 7, 17, 27, 2, 2, 1, 1, …)]

Representations

In words
one hundred seventeen thousand nine hundred sixty-four
Ordinal
117964th
Binary
11100110011001100
Octal
346314
Hexadecimal
0x1CCCC
Base64
AczM
One's complement
4,294,849,331 (32-bit)
Scientific notation
1.17964 × 10⁵
As a duration
117,964 s = 1 day, 8 hours, 46 minutes, 4 seconds
In other bases
ternary (3) 12222211001
quaternary (4) 130303030
quinary (5) 12233324
senary (6) 2310044
septenary (7) 1000630
nonary (9) 188731
undecimal (11) 806a0
duodecimal (12) 58324
tridecimal (13) 41902
tetradecimal (14) 30dc0
pentadecimal (15) 24e44

As an angle

117,964° = 327 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϡξδʹ
Mayan (base 20)
𝋮·𝋮·𝋲·𝋤
Chinese
一十一萬七千九百六十四
Chinese (financial)
壹拾壹萬柒仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١١٧٩٦٤ Devanagari ११७९६४ Bengali ১১৭৯৬৪ Tamil ௧௧௭௯௬௪ Thai ๑๑๗๙๖๔ Tibetan ༡༡༧༩༦༤ Khmer ១១៧៩៦៤ Lao ໑໑໗໙໖໔ Burmese ၁၁၇၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117964, here are decompositions:

  • 5 + 117959 = 117964
  • 47 + 117917 = 117964
  • 53 + 117911 = 117964
  • 83 + 117881 = 117964
  • 113 + 117851 = 117964
  • 131 + 117833 = 117964
  • 167 + 117797 = 117964
  • 191 + 117773 = 117964

Showing the first eight; more decompositions exist.

Unicode codepoint
𜳌
Lower Left Quadrant Chess Knight
U+1CCCC
Other symbol (So)

UTF-8 encoding: F0 9C B3 8C (4 bytes).

Hex color
#01CCCC
RGB(1, 204, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.204.

Address
0.1.204.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.204

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 117,964 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 117964 first appears in π at position 466,215 of the decimal expansion (the 466,215ordinal-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