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116,624

116,624 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.).

116,624 (one hundred sixteen thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 37 × 197. Written other ways, in hexadecimal, 0x1C790.

Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
426,611
Square (n²)
13,601,157,376
Cube (n³)
1,586,221,377,818,624
Divisor count
20
σ(n) — sum of divisors
233,244
φ(n) — Euler's totient
56,448
Sum of prime factors
242

Primality

Prime factorization: 2 4 × 37 × 197

Nearest primes: 116,593 (−31) · 116,639 (+15)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 37 · 74 · 148 · 197 · 296 · 394 · 592 · 788 · 1576 · 3152 · 7289 · 14578 · 29156 · 58312 (half) · 116624
Aliquot sum (sum of proper divisors): 116,620
Factor pairs (a × b = 116,624)
1 × 116624
2 × 58312
4 × 29156
8 × 14578
16 × 7289
37 × 3152
74 × 1576
148 × 788
197 × 592
296 × 394
First multiples
116,624 · 233,248 (double) · 349,872 · 466,496 · 583,120 · 699,744 · 816,368 · 932,992 · 1,049,616 · 1,166,240

Sums & aliquot sequence

As a sum of two squares: 32² + 340² = 80² + 332²
As consecutive integers: 3,629 + 3,630 + … + 3,660 3,134 + 3,135 + … + 3,170 494 + 495 + … + 690
Aliquot sequence: 116,624 116,620 185,780 260,428 271,796 304,780 442,148 442,204 495,236 539,644 539,700 1,251,852 2,147,628 3,742,676 3,783,724 4,229,876 4,405,324 — unresolved within range

Continued fraction of √n

√116,624 = [341; (1, 1, 97, 13, 1, 13, 97, 1, 1, 682)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand six hundred twenty-four
Ordinal
116624th
Binary
11100011110010000
Octal
343620
Hexadecimal
0x1C790
Base64
AceQ
One's complement
4,294,850,671 (32-bit)
Scientific notation
1.16624 × 10⁵
As a duration
116,624 s = 1 day, 8 hours, 23 minutes, 44 seconds
In other bases
ternary (3) 12220222102
quaternary (4) 130132100
quinary (5) 12212444
senary (6) 2255532
septenary (7) 664004
nonary (9) 186872
undecimal (11) 7a692
duodecimal (12) 575a8
tridecimal (13) 41111
tetradecimal (14) 30704
pentadecimal (15) 2484e

As an angle

116,624° = 323 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛχκδʹ
Mayan (base 20)
𝋮·𝋫·𝋫·𝋤
Chinese
一十一萬六千六百二十四
Chinese (financial)
壹拾壹萬陸仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ١١٦٦٢٤ Devanagari ११६६२४ Bengali ১১৬৬২৪ Tamil ௧௧௬௬௨௪ Thai ๑๑๖๖๒๔ Tibetan ༡༡༦༦༢༤ Khmer ១១៦៦២៤ Lao ໑໑໖໖໒໔ Burmese ၁၁၆၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116624, here are decompositions:

  • 31 + 116593 = 116624
  • 163 + 116461 = 116624
  • 181 + 116443 = 116624
  • 283 + 116341 = 116624
  • 331 + 116293 = 116624
  • 367 + 116257 = 116624
  • 433 + 116191 = 116624
  • 457 + 116167 = 116624

Showing the first eight; more decompositions exist.

Hex color
#01C790
RGB(1, 199, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.199.144.

Address
0.1.199.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.199.144

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 116,624 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 116624 first appears in π at position 531,439 of the decimal expansion (the 531,439ordinal-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.