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133,878

133,878 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.).

133,878 (one hundred thirty-three thousand eight hundred seventy-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 53 × 421. Its proper divisors sum to 139,578, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AF6.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
4,032
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
878,331
Square (n²)
17,923,318,884
Cube (n³)
2,399,538,085,552,152
Divisor count
16
σ(n) — sum of divisors
273,456
φ(n) — Euler's totient
43,680
Sum of prime factors
479

Primality

Prime factorization: 2 × 3 × 53 × 421

Nearest primes: 133,877 (−1) · 133,919 (+41)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 53 · 106 · 159 · 318 · 421 · 842 · 1263 · 2526 · 22313 · 44626 · 66939 (half) · 133878
Aliquot sum (sum of proper divisors): 139,578
Factor pairs (a × b = 133,878)
1 × 133878
2 × 66939
3 × 44626
6 × 22313
53 × 2526
106 × 1263
159 × 842
318 × 421
First multiples
133,878 · 267,756 (double) · 401,634 · 535,512 · 669,390 · 803,268 · 937,146 · 1,071,024 · 1,204,902 · 1,338,780

Sums & aliquot sequence

As consecutive integers: 44,625 + 44,626 + 44,627 33,468 + 33,469 + 33,470 + 33,471 11,151 + 11,152 + … + 11,162 2,500 + 2,501 + … + 2,552
Aliquot sequence: 133,878 139,578 146,598 152,778 152,790 248,106 248,118 286,458 286,470 478,170 1,180,710 1,968,570 3,526,470 6,158,970 10,265,670 17,390,970 30,146,310 — unresolved within range

Continued fraction of √n

√133,878 = [365; (1, 8, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 18, 1, 2, 7, 4, 1, 7, 15, 1, 3, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred seventy-eight
Ordinal
133878th
Binary
100000101011110110
Octal
405366
Hexadecimal
0x20AF6
Base64
Agr2
One's complement
4,294,833,417 (32-bit)
Scientific notation
1.33878 × 10⁵
As a duration
133,878 s = 1 day, 13 hours, 11 minutes, 18 seconds
In other bases
ternary (3) 20210122110
quaternary (4) 200223312
quinary (5) 13241003
senary (6) 2511450
septenary (7) 1065213
nonary (9) 223573
undecimal (11) 91648
duodecimal (12) 65586
tridecimal (13) 48c24
tetradecimal (14) 36b0a
pentadecimal (15) 29a03

As an angle

133,878° = 371 × 360° + 318°
318° ≈ 5.55 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωοηʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋲
Chinese
一十三萬三千八百七十八
Chinese (financial)
壹拾參萬參仟捌佰柒拾捌
In other modern scripts
Eastern Arabic ١٣٣٨٧٨ Devanagari १३३८७८ Bengali ১৩৩৮৭৮ Tamil ௧௩௩௮௭௮ Thai ๑๓๓๘๗๘ Tibetan ༡༣༣༨༧༨ Khmer ១៣៣៨៧៨ Lao ໑໓໓໘໗໘ Burmese ၁၃၃၈၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133878, here are decompositions:

  • 5 + 133873 = 133878
  • 47 + 133831 = 133878
  • 67 + 133811 = 133878
  • 97 + 133781 = 133878
  • 109 + 133769 = 133878
  • 167 + 133711 = 133878
  • 181 + 133697 = 133878
  • 229 + 133649 = 133878

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫶
CJK Unified Ideograph-20Af6
U+20AF6
Other letter (Lo)

UTF-8 encoding: F0 A0 AB B6 (4 bytes).

Hex color
#020AF6
RGB(2, 10, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.246.

Address
0.2.10.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.246

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 133,878 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 133878 first appears in π at position 916,866 of the decimal expansion (the 916,866ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.