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137,804

137,804 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.).

137,804 (one hundred thirty-seven thousand eight hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 47 × 733. Written other ways, in hexadecimal, 0x21A4C.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
408,731
Recamán's sequence
a(493,219) = 137,804
Square (n²)
18,989,942,416
Cube (n³)
2,616,890,024,694,464
Divisor count
12
σ(n) — sum of divisors
246,624
φ(n) — Euler's totient
67,344
Sum of prime factors
784

Primality

Prime factorization: 2 2 × 47 × 733

Nearest primes: 137,803 (−1) · 137,827 (+23)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 47 · 94 · 188 · 733 · 1466 · 2932 · 34451 · 68902 (half) · 137804
Aliquot sum (sum of proper divisors): 108,820
Factor pairs (a × b = 137,804)
1 × 137804
2 × 68902
4 × 34451
47 × 2932
94 × 1466
188 × 733
First multiples
137,804 · 275,608 (double) · 413,412 · 551,216 · 689,020 · 826,824 · 964,628 · 1,102,432 · 1,240,236 · 1,378,040

Sums & aliquot sequence

As consecutive integers: 17,222 + 17,223 + … + 17,229 2,909 + 2,910 + … + 2,955 179 + 180 + … + 554
Aliquot sequence: 137,804 108,820 119,744 118,000 172,160 240,940 337,652 361,228 420,812 488,908 541,492 559,244 559,300 940,604 974,596 974,652 1,697,220 — unresolved within range

Continued fraction of √n

√137,804 = [371; (4, 1, 1, 4, 5, 1, 3, 3, 4, 7, 5, 4, 1, 12, 2, 4, 1, 1, 6, 1, 1, 2, 3, 8, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred four
Ordinal
137804th
Binary
100001101001001100
Octal
415114
Hexadecimal
0x21A4C
Base64
AhpM
One's complement
4,294,829,491 (32-bit)
Scientific notation
1.37804 × 10⁵
As a duration
137,804 s = 1 day, 14 hours, 16 minutes, 44 seconds
In other bases
ternary (3) 21000000212
quaternary (4) 201221030
quinary (5) 13402204
senary (6) 2541552
septenary (7) 1112522
nonary (9) 230025
undecimal (11) 94597
duodecimal (12) 678b8
tridecimal (13) 4a954
tetradecimal (14) 38312
pentadecimal (15) 2ac6e

As an angle

137,804° = 382 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωδʹ
Mayan (base 20)
𝋱·𝋤·𝋪·𝋤
Chinese
一十三萬七千八百零四
Chinese (financial)
壹拾參萬柒仟捌佰零肆
In other modern scripts
Eastern Arabic ١٣٧٨٠٤ Devanagari १३७८०४ Bengali ১৩৭৮০৪ Tamil ௧௩௭௮௦௪ Thai ๑๓๗๘๐๔ Tibetan ༡༣༧༨༠༤ Khmer ១៣៧៨០៤ Lao ໑໓໗໘໐໔ Burmese ၁၃၇၈၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137804, here are decompositions:

  • 13 + 137791 = 137804
  • 61 + 137743 = 137804
  • 67 + 137737 = 137804
  • 97 + 137707 = 137804
  • 151 + 137653 = 137804
  • 181 + 137623 = 137804
  • 211 + 137593 = 137804
  • 313 + 137491 = 137804

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩌
CJK Unified Ideograph-21A4C
U+21A4C
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 8C (4 bytes).

Hex color
#021A4C
RGB(2, 26, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.76.

Address
0.2.26.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.76

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 137,804 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 137804 first appears in π at position 526,576 of the decimal expansion (the 526,576ordinal-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.