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137,584

137,584 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.).

137,584 (one hundred thirty-seven thousand five hundred eighty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,599. Written other ways, in hexadecimal, 0x21970.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,360
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
485,731
Recamán's sequence
a(493,659) = 137,584
Square (n²)
18,929,357,056
Cube (n³)
2,604,376,661,192,704
Divisor count
10
σ(n) — sum of divisors
266,600
φ(n) — Euler's totient
68,784
Sum of prime factors
8,607

Primality

Prime factorization: 2 4 × 8599

Nearest primes: 137,573 (−11) · 137,587 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8599 · 17198 · 34396 · 68792 (half) · 137584
Aliquot sum (sum of proper divisors): 129,016
Factor pairs (a × b = 137,584)
1 × 137584
2 × 68792
4 × 34396
8 × 17198
16 × 8599
First multiples
137,584 · 275,168 (double) · 412,752 · 550,336 · 687,920 · 825,504 · 963,088 · 1,100,672 · 1,238,256 · 1,375,840

Sums & aliquot sequence

As consecutive integers: 4,284 + 4,285 + … + 4,315
Aliquot sequence: 137,584 129,016 112,904 118,216 135,224 118,336 122,075 37,885 7,583 1 0 — terminates at zero

Continued fraction of √n

√137,584 = [370; (1, 12, 61, 1, 2, 1, 9, 82, 3, 12, 1, 2, 6, 1, 1, 8, 1, 2, 1, 3, 1, 8, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand five hundred eighty-four
Ordinal
137584th
Binary
100001100101110000
Octal
414560
Hexadecimal
0x21970
Base64
Ahlw
One's complement
4,294,829,711 (32-bit)
Scientific notation
1.37584 × 10⁵
As a duration
137,584 s = 1 day, 14 hours, 13 minutes, 4 seconds
In other bases
ternary (3) 20222201201
quaternary (4) 201211300
quinary (5) 13400314
senary (6) 2540544
septenary (7) 1112056
nonary (9) 228651
undecimal (11) 94407
duodecimal (12) 67754
tridecimal (13) 4a815
tetradecimal (14) 381d6
pentadecimal (15) 2ab74

As an angle

137,584° = 382 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφπδʹ
Mayan (base 20)
𝋱·𝋣·𝋳·𝋤
Chinese
一十三萬七千五百八十四
Chinese (financial)
壹拾參萬柒仟伍佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٧٥٨٤ Devanagari १३७५८४ Bengali ১৩৭৫৮৪ Tamil ௧௩௭௫௮௪ Thai ๑๓๗๕๘๔ Tibetan ༡༣༧༥༨༤ Khmer ១៣៧៥៨៤ Lao ໑໓໗໕໘໔ Burmese ၁၃၇၅၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137584, here are decompositions:

  • 11 + 137573 = 137584
  • 17 + 137567 = 137584
  • 47 + 137537 = 137584
  • 101 + 137483 = 137584
  • 107 + 137477 = 137584
  • 131 + 137453 = 137584
  • 137 + 137447 = 137584
  • 191 + 137393 = 137584

Showing the first eight; more decompositions exist.

Unicode codepoint
𡥰
CJK Unified Ideograph-21970
U+21970
Other letter (Lo)

UTF-8 encoding: F0 A1 A5 B0 (4 bytes).

Hex color
#021970
RGB(2, 25, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.112.

Address
0.2.25.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.112

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 137,584 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 137584 first appears in π at position 172,369 of the decimal expansion (the 172,369ordinal-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