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133,516

133,516 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.).

133,516 (one hundred thirty-three thousand five hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 1,151. Written other ways, in hexadecimal, 0x2098C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
270
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
615,331
Square (n²)
17,826,522,256
Cube (n³)
2,380,125,945,532,096
Divisor count
12
σ(n) — sum of divisors
241,920
φ(n) — Euler's totient
64,400
Sum of prime factors
1,184

Primality

Prime factorization: 2 2 × 29 × 1151

Nearest primes: 133,499 (−17) · 133,519 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 58 · 116 · 1151 · 2302 · 4604 · 33379 · 66758 (half) · 133516
Aliquot sum (sum of proper divisors): 108,404
Factor pairs (a × b = 133,516)
1 × 133516
2 × 66758
4 × 33379
29 × 4604
58 × 2302
116 × 1151
First multiples
133,516 · 267,032 (double) · 400,548 · 534,064 · 667,580 · 801,096 · 934,612 · 1,068,128 · 1,201,644 · 1,335,160

Sums & aliquot sequence

As consecutive integers: 16,686 + 16,687 + … + 16,693 4,590 + 4,591 + … + 4,618 460 + 461 + … + 691
Aliquot sequence: 133,516 108,404 86,224 91,220 100,384 97,310 83,266 54,974 27,490 22,010 19,462 10,634 6,586 3,674 2,374 1,190 1,402 — unresolved within range

Continued fraction of √n

√133,516 = [365; (2, 1, 1, 24, 1, 1, 2, 730)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred sixteen
Ordinal
133516th
Binary
100000100110001100
Octal
404614
Hexadecimal
0x2098C
Base64
AgmM
One's complement
4,294,833,779 (32-bit)
Scientific notation
1.33516 × 10⁵
As a duration
133,516 s = 1 day, 13 hours, 5 minutes, 16 seconds
In other bases
ternary (3) 20210011001
quaternary (4) 200212030
quinary (5) 13233031
senary (6) 2510044
septenary (7) 1064155
nonary (9) 223131
undecimal (11) 91349
duodecimal (12) 65324
tridecimal (13) 48a06
tetradecimal (14) 3692c
pentadecimal (15) 29861

As an angle

133,516° = 370 × 360° + 316°
316° ≈ 5.515 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφιϛʹ
Mayan (base 20)
𝋰·𝋭·𝋯·𝋰
Chinese
一十三萬三千五百一十六
Chinese (financial)
壹拾參萬參仟伍佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٣٥١٦ Devanagari १३३५१६ Bengali ১৩৩৫১৬ Tamil ௧௩௩௫௧௬ Thai ๑๓๓๕๑๖ Tibetan ༡༣༣༥༡༦ Khmer ១៣៣៥១៦ Lao ໑໓໓໕໑໖ Burmese ၁၃၃၅၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133516, here are decompositions:

  • 17 + 133499 = 133516
  • 23 + 133493 = 133516
  • 113 + 133403 = 133516
  • 137 + 133379 = 133516
  • 167 + 133349 = 133516
  • 179 + 133337 = 133516
  • 197 + 133319 = 133516
  • 233 + 133283 = 133516

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦌
CJK Unified Ideograph-2098C
U+2098C
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 8C (4 bytes).

Hex color
#02098C
RGB(2, 9, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.140.

Address
0.2.9.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.140

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 133,516 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 133516 first appears in π at position 141,887 of the decimal expansion (the 141,887ordinal-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