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138,584

138,584 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.).

138,584 (one hundred thirty-eight thousand five hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 17 × 1,019. Written other ways, in hexadecimal, 0x21D58.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,840
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
485,831
Recamán's sequence
a(491,659) = 138,584
Square (n²)
19,205,525,056
Cube (n³)
2,661,578,484,360,704
Divisor count
16
σ(n) — sum of divisors
275,400
φ(n) — Euler's totient
65,152
Sum of prime factors
1,042

Primality

Prime factorization: 2 3 × 17 × 1019

Nearest primes: 138,581 (−3) · 138,587 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 17 · 34 · 68 · 136 · 1019 · 2038 · 4076 · 8152 · 17323 · 34646 · 69292 (half) · 138584
Aliquot sum (sum of proper divisors): 136,816
Factor pairs (a × b = 138,584)
1 × 138584
2 × 69292
4 × 34646
8 × 17323
17 × 8152
34 × 4076
68 × 2038
136 × 1019
First multiples
138,584 · 277,168 (double) · 415,752 · 554,336 · 692,920 · 831,504 · 970,088 · 1,108,672 · 1,247,256 · 1,385,840

Sums & aliquot sequence

As consecutive integers: 8,654 + 8,655 + … + 8,669 8,144 + 8,145 + … + 8,160 374 + 375 + … + 645
Aliquot sequence: 138,584 136,816 144,416 139,966 74,594 53,086 39,074 27,934 13,970 13,678 9,794 5,326 2,666 1,558 962 634 320 — unresolved within range

Continued fraction of √n

√138,584 = [372; (3, 1, 2, 1, 1, 2, 3, 8, 14, 5, 15, 1, 1, 1, 4, 4, 5, 4, 4, 1, 1, 1, 15, 5, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred eighty-four
Ordinal
138584th
Binary
100001110101011000
Octal
416530
Hexadecimal
0x21D58
Base64
Ah1Y
One's complement
4,294,828,711 (32-bit)
Scientific notation
1.38584 × 10⁵
As a duration
138,584 s = 1 day, 14 hours, 29 minutes, 44 seconds
In other bases
ternary (3) 21001002202
quaternary (4) 201311120
quinary (5) 13413314
senary (6) 2545332
septenary (7) 1115015
nonary (9) 231082
undecimal (11) 95136
duodecimal (12) 68248
tridecimal (13) 4b104
tetradecimal (14) 3870c
pentadecimal (15) 2b0de

As an angle

138,584° = 384 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληφπδʹ
Mayan (base 20)
𝋱·𝋦·𝋩·𝋤
Chinese
一十三萬八千五百八十四
Chinese (financial)
壹拾參萬捌仟伍佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٨٥٨٤ Devanagari १३८५८४ Bengali ১৩৮৫৮৪ Tamil ௧௩௮௫௮௪ Thai ๑๓๘๕๘๔ Tibetan ༡༣༨༥༨༤ Khmer ១៣៨៥៨៤ Lao ໑໓໘໕໘໔ Burmese ၁၃၈၅၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138584, here are decompositions:

  • 3 + 138581 = 138584
  • 7 + 138577 = 138584
  • 13 + 138571 = 138584
  • 37 + 138547 = 138584
  • 67 + 138517 = 138584
  • 73 + 138511 = 138584
  • 151 + 138433 = 138584
  • 157 + 138427 = 138584

Showing the first eight; more decompositions exist.

Unicode codepoint
𡵘
CJK Unified Ideograph-21D58
U+21D58
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 98 (4 bytes).

Hex color
#021D58
RGB(2, 29, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.88.

Address
0.2.29.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.88

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 138,584 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 138584 first appears in π at position 55,594 of the decimal expansion (the 55,594ordinal-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.