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138,124

138,124 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.).

138,124 (one hundred thirty-eight thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,933. Its proper divisors sum to 138,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B8C.

Abundant Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
192
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
421,831
Recamán's sequence
a(492,579) = 138,124
Square (n²)
19,078,239,376
Cube (n³)
2,635,162,735,570,624
Divisor count
12
σ(n) — sum of divisors
276,304
φ(n) — Euler's totient
59,184
Sum of prime factors
4,944

Primality

Prime factorization: 2 2 × 7 × 4933

Nearest primes: 138,113 (−11) · 138,139 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4933 · 9866 · 19732 · 34531 · 69062 (half) · 138124
Aliquot sum (sum of proper divisors): 138,180
Factor pairs (a × b = 138,124)
1 × 138124
2 × 69062
4 × 34531
7 × 19732
14 × 9866
28 × 4933
First multiples
138,124 · 276,248 (double) · 414,372 · 552,496 · 690,620 · 828,744 · 966,868 · 1,104,992 · 1,243,116 · 1,381,240

Sums & aliquot sequence

As consecutive integers: 19,729 + 19,730 + … + 19,735 17,262 + 17,263 + … + 17,269 2,439 + 2,440 + … + 2,494
Aliquot sequence: 138,124 138,180 321,468 565,572 942,844 963,844 1,031,996 1,032,052 1,225,868 1,225,924 1,225,980 3,131,100 8,446,284 18,470,788 18,470,844 37,507,260 82,517,316 — unresolved within range

Continued fraction of √n

√138,124 = [371; (1, 1, 1, 6, 6, 1, 1, 4, 1, 7, 1, 12, 2, 1, 1, 2, 2, 1, 1, 2, 1, 3, 2, 10, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred twenty-four
Ordinal
138124th
Binary
100001101110001100
Octal
415614
Hexadecimal
0x21B8C
Base64
AhuM
One's complement
4,294,829,171 (32-bit)
Scientific notation
1.38124 × 10⁵
As a duration
138,124 s = 1 day, 14 hours, 22 minutes, 4 seconds
In other bases
ternary (3) 21000110201
quaternary (4) 201232030
quinary (5) 13404444
senary (6) 2543244
septenary (7) 1113460
nonary (9) 230421
undecimal (11) 94858
duodecimal (12) 67b24
tridecimal (13) 4ab3c
tetradecimal (14) 384a0
pentadecimal (15) 2add4

As an angle

138,124° = 383 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρκδʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋤
Chinese
一十三萬八千一百二十四
Chinese (financial)
壹拾參萬捌仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٨١٢٤ Devanagari १३८१२४ Bengali ১৩৮১২৪ Tamil ௧௩௮௧௨௪ Thai ๑๓๘๑๒๔ Tibetan ༡༣༨༡༢༤ Khmer ១៣៨១២៤ Lao ໑໓໘໑໒໔ Burmese ၁၃၈၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138124, here are decompositions:

  • 11 + 138113 = 138124
  • 17 + 138107 = 138124
  • 23 + 138101 = 138124
  • 47 + 138077 = 138124
  • 53 + 138071 = 138124
  • 71 + 138053 = 138124
  • 83 + 138041 = 138124
  • 131 + 137993 = 138124

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮌
CJK Unified Ideograph-21B8C
U+21B8C
Other letter (Lo)

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

Hex color
#021B8C
RGB(2, 27, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.140.

Address
0.2.27.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.140

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 138,124 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 138124 first appears in π at position 473,050 of the decimal expansion (the 473,050ordinal-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