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138,628

138,628 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.).

138,628 (one hundred thirty-eight thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,951. Its proper divisors sum to 138,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D84.

Abundant Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,304
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
826,831
Recamán's sequence
a(491,571) = 138,628
Square (n²)
19,217,722,384
Cube (n³)
2,664,114,418,649,152
Divisor count
12
σ(n) — sum of divisors
277,312
φ(n) — Euler's totient
59,400
Sum of prime factors
4,962

Primality

Prime factorization: 2 2 × 7 × 4951

Nearest primes: 138,617 (−11) · 138,629 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4951 · 9902 · 19804 · 34657 · 69314 (half) · 138628
Aliquot sum (sum of proper divisors): 138,684
Factor pairs (a × b = 138,628)
1 × 138628
2 × 69314
4 × 34657
7 × 19804
14 × 9902
28 × 4951
First multiples
138,628 · 277,256 (double) · 415,884 · 554,512 · 693,140 · 831,768 · 970,396 · 1,109,024 · 1,247,652 · 1,386,280

Sums & aliquot sequence

As consecutive integers: 19,801 + 19,802 + … + 19,807 17,325 + 17,326 + … + 17,332 2,448 + 2,449 + … + 2,503
Aliquot sequence: 138,628 138,684 262,724 311,164 311,220 911,820 2,249,268 3,749,004 8,481,396 16,742,796 29,119,860 82,421,388 163,832,004 334,800,956 340,080,580 551,923,820 838,051,732 — unresolved within range

Continued fraction of √n

√138,628 = [372; (3, 19, 1, 3, 1, 4, 1, 1, 1, 3, 7, 2, 13, 1, 5, 1, 3, 2, 247, 1, 3, 2, 6, 3, …)]

Representations

In words
one hundred thirty-eight thousand six hundred twenty-eight
Ordinal
138628th
Binary
100001110110000100
Octal
416604
Hexadecimal
0x21D84
Base64
Ah2E
One's complement
4,294,828,667 (32-bit)
Scientific notation
1.38628 × 10⁵
As a duration
138,628 s = 1 day, 14 hours, 30 minutes, 28 seconds
In other bases
ternary (3) 21001011101
quaternary (4) 201312010
quinary (5) 13414003
senary (6) 2545444
septenary (7) 1115110
nonary (9) 231141
undecimal (11) 95176
duodecimal (12) 68284
tridecimal (13) 4b139
tetradecimal (14) 38740
pentadecimal (15) 2b11d

As an angle

138,628° = 385 × 360° + 28°
28° ≈ 0.489 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληχκηʹ
Mayan (base 20)
𝋱·𝋦·𝋫·𝋨
Chinese
一十三萬八千六百二十八
Chinese (financial)
壹拾參萬捌仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٨٦٢٨ Devanagari १३८६२८ Bengali ১৩৮৬২৮ Tamil ௧௩௮௬௨௮ Thai ๑๓๘๖๒๘ Tibetan ༡༣༨༦༢༨ Khmer ១៣៨៦២៨ Lao ໑໓໘໖໒໘ Burmese ၁၃၈၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138628, here are decompositions:

  • 11 + 138617 = 138628
  • 29 + 138599 = 138628
  • 41 + 138587 = 138628
  • 47 + 138581 = 138628
  • 59 + 138569 = 138628
  • 131 + 138497 = 138628
  • 167 + 138461 = 138628
  • 179 + 138449 = 138628

Showing the first eight; more decompositions exist.

Unicode codepoint
𡶄
CJK Unified Ideograph-21D84
U+21D84
Other letter (Lo)

UTF-8 encoding: F0 A1 B6 84 (4 bytes).

Hex color
#021D84
RGB(2, 29, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.132.

Address
0.2.29.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.132

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 138,628 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading