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138,800

138,800 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.).

138,800 (one hundred thirty-eight thousand eight hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 347. Its proper divisors sum to 195,628, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E30.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
8,831
Recamán's sequence
a(491,227) = 138,800
Square (n²)
19,265,440,000
Cube (n³)
2,674,043,072,000,000
Divisor count
30
σ(n) — sum of divisors
334,428
φ(n) — Euler's totient
55,360
Sum of prime factors
365

Primality

Prime factorization: 2 4 × 5 2 × 347

Nearest primes: 138,799 (−1) · 138,821 (+21)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 347 · 400 · 694 · 1388 · 1735 · 2776 · 3470 · 5552 · 6940 · 8675 · 13880 · 17350 · 27760 · 34700 · 69400 (half) · 138800
Aliquot sum (sum of proper divisors): 195,628
Factor pairs (a × b = 138,800)
1 × 138800
2 × 69400
4 × 34700
5 × 27760
8 × 17350
10 × 13880
16 × 8675
20 × 6940
25 × 5552
40 × 3470
50 × 2776
80 × 1735
100 × 1388
200 × 694
347 × 400
First multiples
138,800 · 277,600 (double) · 416,400 · 555,200 · 694,000 · 832,800 · 971,600 · 1,110,400 · 1,249,200 · 1,388,000

Sums & aliquot sequence

As consecutive integers: 27,758 + 27,759 + 27,760 + 27,761 + 27,762 5,540 + 5,541 + … + 5,564 4,322 + 4,323 + … + 4,353 788 + 789 + … + 947
Aliquot sequence: 138,800 195,628 146,728 128,402 82,798 41,402 21,574 17,594 10,246 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 — unresolved within range

Continued fraction of √n

√138,800 = [372; (1, 1, 3, 1, 3, 8, 9, 3, 4, 1, 1, 1, 1, 2, 2, 14, 1, 3, 1, 2, 3, 1, 9, 29, …)]

Representations

In words
one hundred thirty-eight thousand eight hundred
Ordinal
138800th
Binary
100001111000110000
Octal
417060
Hexadecimal
0x21E30
Base64
Ah4w
One's complement
4,294,828,495 (32-bit)
Scientific notation
1.388 × 10⁵
As a duration
138,800 s = 1 day, 14 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 21001101202
quaternary (4) 201320300
quinary (5) 13420200
senary (6) 2550332
septenary (7) 1115444
nonary (9) 231352
undecimal (11) 95312
duodecimal (12) 683a8
tridecimal (13) 4b23c
tetradecimal (14) 38824
pentadecimal (15) 2b1d5

As an angle

138,800° = 385 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρληωʹ
Mayan (base 20)
𝋱·𝋧·𝋠·𝋠
Chinese
一十三萬八千八百
Chinese (financial)
壹拾參萬捌仟捌佰
In other modern scripts
Eastern Arabic ١٣٨٨٠٠ Devanagari १३८८०० Bengali ১৩৮৮০০ Tamil ௧௩௮௮௦௦ Thai ๑๓๘๘๐๐ Tibetan ༡༣༨༨༠༠ Khmer ១៣៨៨០០ Lao ໑໓໘໘໐໐ Burmese ၁၃၈၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138800, here are decompositions:

  • 3 + 138797 = 138800
  • 7 + 138793 = 138800
  • 37 + 138763 = 138800
  • 61 + 138739 = 138800
  • 73 + 138727 = 138800
  • 139 + 138661 = 138800
  • 163 + 138637 = 138800
  • 223 + 138577 = 138800

Showing the first eight; more decompositions exist.

Unicode codepoint
𡸰
CJK Unified Ideograph-21E30
U+21E30
Other letter (Lo)

UTF-8 encoding: F0 A1 B8 B0 (4 bytes).

Hex color
#021E30
RGB(2, 30, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.48.

Address
0.2.30.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.48

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 138,800 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.