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138,552

138,552 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.).

138,552 (one hundred thirty-eight thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 23 × 251. Its proper divisors sum to 224,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D38.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,200
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
255,831
Recamán's sequence
a(491,723) = 138,552
Square (n²)
19,196,656,704
Cube (n³)
2,659,735,179,652,608
Divisor count
32
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
44,000
Sum of prime factors
283

Primality

Prime factorization: 2 3 × 3 × 23 × 251

Nearest primes: 138,547 (−5) · 138,559 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 23 · 24 · 46 · 69 · 92 · 138 · 184 · 251 · 276 · 502 · 552 · 753 · 1004 · 1506 · 2008 · 3012 · 5773 · 6024 · 11546 · 17319 · 23092 · 34638 · 46184 · 69276 (half) · 138552
Aliquot sum (sum of proper divisors): 224,328
Factor pairs (a × b = 138,552)
1 × 138552
2 × 69276
3 × 46184
4 × 34638
6 × 23092
8 × 17319
12 × 11546
23 × 6024
24 × 5773
46 × 3012
69 × 2008
92 × 1506
138 × 1004
184 × 753
251 × 552
276 × 502
First multiples
138,552 · 277,104 (double) · 415,656 · 554,208 · 692,760 · 831,312 · 969,864 · 1,108,416 · 1,246,968 · 1,385,520

Sums & aliquot sequence

As consecutive integers: 46,183 + 46,184 + 46,185 8,652 + 8,653 + … + 8,667 6,013 + 6,014 + … + 6,035 2,863 + 2,864 + … + 2,910
Aliquot sequence: 138,552 224,328 380,472 587,208 917,592 1,713,288 2,569,992 4,234,008 6,351,072 14,196,000 43,356,768 99,421,392 206,934,000 616,346,640 2,048,482,800 6,990,452,560 14,176,192,688 — keeps growing

Continued fraction of √n

√138,552 = [372; (4, 2, 3, 14, 1, 9, 3, 1, 3, 1, 12, 1, 1, 61, 1, 1, 12, 1, 3, 1, 3, 9, 1, 14, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred fifty-two
Ordinal
138552nd
Binary
100001110100111000
Octal
416470
Hexadecimal
0x21D38
Base64
Ah04
One's complement
4,294,828,743 (32-bit)
Scientific notation
1.38552 × 10⁵
As a duration
138,552 s = 1 day, 14 hours, 29 minutes, 12 seconds
In other bases
ternary (3) 21001001120
quaternary (4) 201310320
quinary (5) 13413202
senary (6) 2545240
septenary (7) 1114641
nonary (9) 231046
undecimal (11) 95107
duodecimal (12) 68220
tridecimal (13) 4b0ab
tetradecimal (14) 386c8
pentadecimal (15) 2b0bc

As an angle

138,552° = 384 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληφνβʹ
Mayan (base 20)
𝋱·𝋦·𝋧·𝋬
Chinese
一十三萬八千五百五十二
Chinese (financial)
壹拾參萬捌仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٨٥٥٢ Devanagari १३८५५२ Bengali ১৩৮৫৫২ Tamil ௧௩௮௫௫௨ Thai ๑๓๘๕๕๒ Tibetan ༡༣༨༥༥༢ Khmer ១៣៨៥៥២ Lao ໑໓໘໕໕໒ Burmese ၁၃၈၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138552, here are decompositions:

  • 5 + 138547 = 138552
  • 41 + 138511 = 138552
  • 59 + 138493 = 138552
  • 83 + 138469 = 138552
  • 101 + 138451 = 138552
  • 103 + 138449 = 138552
  • 149 + 138403 = 138552
  • 151 + 138401 = 138552

Showing the first eight; more decompositions exist.

Unicode codepoint
𡴸
CJK Unified Ideograph-21D38
U+21D38
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 B8 (4 bytes).

Hex color
#021D38
RGB(2, 29, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.56.

Address
0.2.29.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.56

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 138,552 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

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