number.wiki
Live analysis

138,248

138,248 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.).

138,248 (one hundred thirty-eight thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 1,571. Its proper divisors sum to 144,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C08.

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,536
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
842,831
Recamán's sequence
a(492,331) = 138,248
Square (n²)
19,112,509,504
Cube (n³)
2,642,266,213,908,992
Divisor count
16
σ(n) — sum of divisors
282,960
φ(n) — Euler's totient
62,800
Sum of prime factors
1,588

Primality

Prime factorization: 2 3 × 11 × 1571

Nearest primes: 138,247 (−1) · 138,251 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 1571 · 3142 · 6284 · 12568 · 17281 · 34562 · 69124 (half) · 138248
Aliquot sum (sum of proper divisors): 144,712
Factor pairs (a × b = 138,248)
1 × 138248
2 × 69124
4 × 34562
8 × 17281
11 × 12568
22 × 6284
44 × 3142
88 × 1571
First multiples
138,248 · 276,496 (double) · 414,744 · 552,992 · 691,240 · 829,488 · 967,736 · 1,105,984 · 1,244,232 · 1,382,480

Sums & aliquot sequence

As consecutive integers: 12,563 + 12,564 + … + 12,573 8,633 + 8,634 + … + 8,648 698 + 699 + … + 873
Aliquot sequence: 138,248 144,712 126,638 71,650 61,712 87,088 81,676 81,732 141,708 244,524 432,852 721,644 1,423,380 3,132,780 6,893,460 17,008,236 32,127,396 — unresolved within range

Continued fraction of √n

√138,248 = [371; (1, 4, 2, 7, 1, 1, 1, 2, 4, 6, 2, 1, 5, 5, 1, 4, 1, 1, 2, 3, 1, 1, 3, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred forty-eight
Ordinal
138248th
Binary
100001110000001000
Octal
416010
Hexadecimal
0x21C08
Base64
AhwI
One's complement
4,294,829,047 (32-bit)
Scientific notation
1.38248 × 10⁵
As a duration
138,248 s = 1 day, 14 hours, 24 minutes, 8 seconds
In other bases
ternary (3) 21000122022
quaternary (4) 201300020
quinary (5) 13410443
senary (6) 2544012
septenary (7) 1114025
nonary (9) 230568
undecimal (11) 94960
duodecimal (12) 68008
tridecimal (13) 4ac06
tetradecimal (14) 3854c
pentadecimal (15) 2ae68

As an angle

138,248° = 384 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλησμηʹ
Mayan (base 20)
𝋱·𝋥·𝋬·𝋨
Chinese
一十三萬八千二百四十八
Chinese (financial)
壹拾參萬捌仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٨٢٤٨ Devanagari १३८२४८ Bengali ১৩৮২৪৮ Tamil ௧௩௮௨௪௮ Thai ๑๓๘๒๔๘ Tibetan ༡༣༨༢༤༨ Khmer ១៣៨២៤៨ Lao ໑໓໘໒໔໘ Burmese ၁၃၈၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138248, here are decompositions:

  • 7 + 138241 = 138248
  • 67 + 138181 = 138248
  • 109 + 138139 = 138248
  • 241 + 138007 = 138248
  • 307 + 137941 = 138248
  • 337 + 137911 = 138248
  • 379 + 137869 = 138248
  • 421 + 137827 = 138248

Showing the first eight; more decompositions exist.

Unicode codepoint
𡰈
CJK Unified Ideograph-21C08
U+21C08
Other letter (Lo)

UTF-8 encoding: F0 A1 B0 88 (4 bytes).

Hex color
#021C08
RGB(2, 28, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.8.

Address
0.2.28.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.8

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 138,248 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.