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136,404

136,404 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.).

136,404 (one hundred thirty-six thousand four hundred four) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2² × 3⁴ × 421. Its proper divisors sum to 221,030, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x214D4.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
404,631
Square (n²)
18,606,051,216
Cube (n³)
2,537,939,810,067,264
Divisor count
30
σ(n) — sum of divisors
357,434
φ(n) — Euler's totient
45,360
Sum of prime factors
437

Primality

Prime factorization: 2 2 × 3 4 × 421

Nearest primes: 136,403 (−1) · 136,417 (+13)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 162 · 324 · 421 · 842 · 1263 · 1684 · 2526 · 3789 · 5052 · 7578 · 11367 · 15156 · 22734 · 34101 · 45468 · 68202 (half) · 136404
Aliquot sum (sum of proper divisors): 221,030
Factor pairs (a × b = 136,404)
1 × 136404
2 × 68202
3 × 45468
4 × 34101
6 × 22734
9 × 15156
12 × 11367
18 × 7578
27 × 5052
36 × 3789
54 × 2526
81 × 1684
108 × 1263
162 × 842
324 × 421
First multiples
136,404 · 272,808 (double) · 409,212 · 545,616 · 682,020 · 818,424 · 954,828 · 1,091,232 · 1,227,636 · 1,364,040

Sums & aliquot sequence

As a sum of two squares: 252² + 270²
As consecutive integers: 45,467 + 45,468 + 45,469 17,047 + 17,048 + … + 17,054 15,152 + 15,153 + … + 15,160 5,672 + 5,673 + … + 5,695
Aliquot sequence: 136,404 221,030 207,946 106,298 53,152 61,760 86,068 64,558 40,850 40,990 32,810 30,046 15,818 10,102 5,054 4,090 3,290 — unresolved within range

Continued fraction of √n

√136,404 = [369; (3, 26, 21, 15, 36, 1, 6, 2, 20, 1, 1, 1, 3, 4, 1, 5, 1, 28, 1, 2, 3, 1, 6, 7, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand four hundred four
Ordinal
136404th
Binary
100001010011010100
Octal
412324
Hexadecimal
0x214D4
Base64
AhTU
One's complement
4,294,830,891 (32-bit)
Scientific notation
1.36404 × 10⁵
As a duration
136,404 s = 1 day, 13 hours, 53 minutes, 24 seconds
In other bases
ternary (3) 20221010000
quaternary (4) 201103110
quinary (5) 13331104
senary (6) 2531300
septenary (7) 1105452
nonary (9) 227100
undecimal (11) 93534
duodecimal (12) 66b30
tridecimal (13) 4a118
tetradecimal (14) 379d2
pentadecimal (15) 2a639

As an angle

136,404° = 378 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛυδʹ
Mayan (base 20)
𝋱·𝋡·𝋠·𝋤
Chinese
一十三萬六千四百零四
Chinese (financial)
壹拾參萬陸仟肆佰零肆
In other modern scripts
Eastern Arabic ١٣٦٤٠٤ Devanagari १३६४०४ Bengali ১৩৬৪০৪ Tamil ௧௩௬௪௦௪ Thai ๑๓๖๔๐๔ Tibetan ༡༣༦༤༠༤ Khmer ១៣៦៤០៤ Lao ໑໓໖໔໐໔ Burmese ၁၃၆၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136404, here are decompositions:

  • 5 + 136399 = 136404
  • 7 + 136397 = 136404
  • 11 + 136393 = 136404
  • 31 + 136373 = 136404
  • 43 + 136361 = 136404
  • 53 + 136351 = 136404
  • 61 + 136343 = 136404
  • 67 + 136337 = 136404

Showing the first eight; more decompositions exist.

Unicode codepoint
𡓔
CJK Unified Ideograph-214D4
U+214D4
Other letter (Lo)

UTF-8 encoding: F0 A1 93 94 (4 bytes).

Hex color
#0214D4
RGB(2, 20, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.212.

Address
0.2.20.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.212

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 136,404 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 136404 first appears in π at position 333,669 of the decimal expansion (the 333,669ordinal-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°.