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133,616

133,616 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.).

133,616 (one hundred thirty-three thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,193. Its proper divisors sum to 162,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209F0.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
324
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
616,331
Square (n²)
17,853,235,456
Cube (n³)
2,385,477,908,688,896
Divisor count
20
σ(n) — sum of divisors
296,112
φ(n) — Euler's totient
57,216
Sum of prime factors
1,208

Primality

Prime factorization: 2 4 × 7 × 1193

Nearest primes: 133,597 (−19) · 133,631 (+15)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1193 · 2386 · 4772 · 8351 · 9544 · 16702 · 19088 · 33404 · 66808 (half) · 133616
Aliquot sum (sum of proper divisors): 162,496
Factor pairs (a × b = 133,616)
1 × 133616
2 × 66808
4 × 33404
7 × 19088
8 × 16702
14 × 9544
16 × 8351
28 × 4772
56 × 2386
112 × 1193
First multiples
133,616 · 267,232 (double) · 400,848 · 534,464 · 668,080 · 801,696 · 935,312 · 1,068,928 · 1,202,544 · 1,336,160

Sums & aliquot sequence

As consecutive integers: 19,085 + 19,086 + … + 19,091 4,160 + 4,161 + … + 4,191 485 + 486 + … + 708
Aliquot sequence: 133,616 162,496 160,084 129,324 196,036 147,034 73,520 97,600 146,494 75,986 37,996 42,644 42,700 64,932 108,444 180,964 198,044 — unresolved within range

Continued fraction of √n

√133,616 = [365; (1, 1, 6, 1, 1, 2, 15, 6, 4, 4, 1, 2, 3, 22, 1, 1, 4, 1, 2, 2, 5, 1, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand six hundred sixteen
Ordinal
133616th
Binary
100000100111110000
Octal
404760
Hexadecimal
0x209F0
Base64
Agnw
One's complement
4,294,833,679 (32-bit)
Scientific notation
1.33616 × 10⁵
As a duration
133,616 s = 1 day, 13 hours, 6 minutes, 56 seconds
In other bases
ternary (3) 20210021202
quaternary (4) 200213300
quinary (5) 13233431
senary (6) 2510332
septenary (7) 1064360
nonary (9) 223252
undecimal (11) 9142a
duodecimal (12) 653a8
tridecimal (13) 48a82
tetradecimal (14) 369a0
pentadecimal (15) 298cb

As an angle

133,616° = 371 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχιϛʹ
Mayan (base 20)
𝋰·𝋮·𝋠·𝋰
Chinese
一十三萬三千六百一十六
Chinese (financial)
壹拾參萬參仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٣٦١٦ Devanagari १३३६१६ Bengali ১৩৩৬১৬ Tamil ௧௩௩௬௧௬ Thai ๑๓๓๖๑๖ Tibetan ༡༣༣༦༡༦ Khmer ១៣៣៦១៦ Lao ໑໓໓໖໑໖ Burmese ၁၃၃၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133616, here are decompositions:

  • 19 + 133597 = 133616
  • 73 + 133543 = 133616
  • 97 + 133519 = 133616
  • 199 + 133417 = 133616
  • 229 + 133387 = 133616
  • 313 + 133303 = 133616
  • 337 + 133279 = 133616
  • 433 + 133183 = 133616

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧰
CJK Unified Ideograph-209F0
U+209F0
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 B0 (4 bytes).

Hex color
#0209F0
RGB(2, 9, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.240.

Address
0.2.9.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.240

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 133,616 and was likely granted around 1872.

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

Position in π

The digit sequence 133616 first appears in π at position 653,166 of the decimal expansion (the 653,166ordinal-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.