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138,828

138,828 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.).

138,828 (one hundred thirty-eight thousand eight hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 23 × 503. Its proper divisors sum to 199,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E4C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,072
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
828,831
Recamán's sequence
a(491,171) = 138,828
Square (n²)
19,273,213,584
Cube (n³)
2,675,661,695,439,552
Divisor count
24
σ(n) — sum of divisors
338,688
φ(n) — Euler's totient
44,176
Sum of prime factors
533

Primality

Prime factorization: 2 2 × 3 × 23 × 503

Nearest primes: 138,821 (−7) · 138,829 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 23 · 46 · 69 · 92 · 138 · 276 · 503 · 1006 · 1509 · 2012 · 3018 · 6036 · 11569 · 23138 · 34707 · 46276 · 69414 (half) · 138828
Aliquot sum (sum of proper divisors): 199,860
Factor pairs (a × b = 138,828)
1 × 138828
2 × 69414
3 × 46276
4 × 34707
6 × 23138
12 × 11569
23 × 6036
46 × 3018
69 × 2012
92 × 1509
138 × 1006
276 × 503
First multiples
138,828 · 277,656 (double) · 416,484 · 555,312 · 694,140 · 832,968 · 971,796 · 1,110,624 · 1,249,452 · 1,388,280

Sums & aliquot sequence

As consecutive integers: 46,275 + 46,276 + 46,277 17,350 + 17,351 + … + 17,357 6,025 + 6,026 + … + 6,047 5,773 + 5,774 + … + 5,796
Aliquot sequence: 138,828 199,860 359,916 491,844 723,804 965,100 1,828,124 1,384,876 1,144,196 858,154 620,726 310,366 231,362 127,738 91,502 45,754 22,880 — unresolved within range

Continued fraction of √n

√138,828 = [372; (1, 1, 2, 10, 2, 1, 1, 744)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand eight hundred twenty-eight
Ordinal
138828th
Binary
100001111001001100
Octal
417114
Hexadecimal
0x21E4C
Base64
Ah5M
One's complement
4,294,828,467 (32-bit)
Scientific notation
1.38828 × 10⁵
As a duration
138,828 s = 1 day, 14 hours, 33 minutes, 48 seconds
In other bases
ternary (3) 21001102210
quaternary (4) 201321030
quinary (5) 13420303
senary (6) 2550420
septenary (7) 1115514
nonary (9) 231383
undecimal (11) 95338
duodecimal (12) 68410
tridecimal (13) 4b261
tetradecimal (14) 38844
pentadecimal (15) 2b203

As an angle

138,828° = 385 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληωκηʹ
Mayan (base 20)
𝋱·𝋧·𝋡·𝋨
Chinese
一十三萬八千八百二十八
Chinese (financial)
壹拾參萬捌仟捌佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٨٨٢٨ Devanagari १३८८२८ Bengali ১৩৮৮২৮ Tamil ௧௩௮௮௨௮ Thai ๑๓๘๘๒๘ Tibetan ༡༣༨༨༢༨ Khmer ១៣៨៨២៨ Lao ໑໓໘໘໒໘ Burmese ၁၃၈၈၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138828, here are decompositions:

  • 7 + 138821 = 138828
  • 29 + 138799 = 138828
  • 31 + 138797 = 138828
  • 89 + 138739 = 138828
  • 97 + 138731 = 138828
  • 101 + 138727 = 138828
  • 149 + 138679 = 138828
  • 167 + 138661 = 138828

Showing the first eight; more decompositions exist.

Unicode codepoint
𡹌
CJK Unified Ideograph-21E4C
U+21E4C
Other letter (Lo)

UTF-8 encoding: F0 A1 B9 8C (4 bytes).

Hex color
#021E4C
RGB(2, 30, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.76.

Address
0.2.30.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.76

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 138,828 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 138828 first appears in π at position 337,289 of the decimal expansion (the 337,289ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.