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133,504

133,504 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.).

133,504 (one hundred thirty-three thousand five hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 7 × 149. Its proper divisors sum to 172,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20980.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
405,331
Square (n²)
17,823,318,016
Cube (n³)
2,379,484,248,408,064
Divisor count
32
σ(n) — sum of divisors
306,000
φ(n) — Euler's totient
56,832
Sum of prime factors
170

Primality

Prime factorization: 2 7 × 7 × 149

Nearest primes: 133,499 (−5) · 133,519 (+15)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 128 · 149 · 224 · 298 · 448 · 596 · 896 · 1043 · 1192 · 2086 · 2384 · 4172 · 4768 · 8344 · 9536 · 16688 · 19072 · 33376 · 66752 (half) · 133504
Aliquot sum (sum of proper divisors): 172,496
Factor pairs (a × b = 133,504)
1 × 133504
2 × 66752
4 × 33376
7 × 19072
8 × 16688
14 × 9536
16 × 8344
28 × 4768
32 × 4172
56 × 2384
64 × 2086
112 × 1192
128 × 1043
149 × 896
224 × 596
298 × 448
First multiples
133,504 · 267,008 (double) · 400,512 · 534,016 · 667,520 · 801,024 · 934,528 · 1,068,032 · 1,201,536 · 1,335,040

Sums & aliquot sequence

As consecutive integers: 19,069 + 19,070 + … + 19,075 822 + 823 + … + 970 394 + 395 + … + 649
Aliquot sequence: 133,504 172,496 161,746 99,578 49,792 49,658 35,494 17,750 15,946 13,430 12,490 10,010 14,182 10,154 5,080 6,440 10,840 — unresolved within range

Continued fraction of √n

√133,504 = [365; (2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 23, 81, 6, 1, 1, 19, 1, 3, 5, 1, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand five hundred four
Ordinal
133504th
Binary
100000100110000000
Octal
404600
Hexadecimal
0x20980
Base64
AgmA
One's complement
4,294,833,791 (32-bit)
Scientific notation
1.33504 × 10⁵
As a duration
133,504 s = 1 day, 13 hours, 5 minutes, 4 seconds
In other bases
ternary (3) 20210010121
quaternary (4) 200212000
quinary (5) 13233004
senary (6) 2510024
septenary (7) 1064140
nonary (9) 223117
undecimal (11) 91338
duodecimal (12) 65314
tridecimal (13) 489c7
tetradecimal (14) 36920
pentadecimal (15) 29854

As an angle

133,504° = 370 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφδʹ
Mayan (base 20)
𝋰·𝋭·𝋯·𝋤
Chinese
一十三萬三千五百零四
Chinese (financial)
壹拾參萬參仟伍佰零肆
In other modern scripts
Eastern Arabic ١٣٣٥٠٤ Devanagari १३३५०४ Bengali ১৩৩৫০৪ Tamil ௧௩௩௫௦௪ Thai ๑๓๓๕๐๔ Tibetan ༡༣༣༥༠༤ Khmer ១៣៣៥០៤ Lao ໑໓໓໕໐໔ Burmese ၁၃၃၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133504, here are decompositions:

  • 5 + 133499 = 133504
  • 11 + 133493 = 133504
  • 23 + 133481 = 133504
  • 53 + 133451 = 133504
  • 101 + 133403 = 133504
  • 113 + 133391 = 133504
  • 167 + 133337 = 133504
  • 227 + 133277 = 133504

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦀
CJK Unified Ideograph-20980
U+20980
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 80 (4 bytes).

Hex color
#020980
RGB(2, 9, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.128.

Address
0.2.9.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.128

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 133,504 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 133504 first appears in π at position 945,818 of the decimal expansion (the 945,818ordinal-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