number.wiki
Live analysis

138,572

138,572 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.).

138,572 (one hundred thirty-eight thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7³ × 101. Its proper divisors sum to 147,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D4C.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,680
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
275,831
Recamán's sequence
a(491,683) = 138,572
Square (n²)
19,202,199,184
Cube (n³)
2,660,887,145,325,248
Divisor count
24
σ(n) — sum of divisors
285,600
φ(n) — Euler's totient
58,800
Sum of prime factors
126

Primality

Prime factorization: 2 2 × 7 3 × 101

Nearest primes: 138,571 (−1) · 138,577 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 101 · 196 · 202 · 343 · 404 · 686 · 707 · 1372 · 1414 · 2828 · 4949 · 9898 · 19796 · 34643 · 69286 (half) · 138572
Aliquot sum (sum of proper divisors): 147,028
Factor pairs (a × b = 138,572)
1 × 138572
2 × 69286
4 × 34643
7 × 19796
14 × 9898
28 × 4949
49 × 2828
98 × 1414
101 × 1372
196 × 707
202 × 686
343 × 404
First multiples
138,572 · 277,144 (double) · 415,716 · 554,288 · 692,860 · 831,432 · 970,004 · 1,108,576 · 1,247,148 · 1,385,720

Sums & aliquot sequence

As consecutive integers: 19,793 + 19,794 + … + 19,799 17,318 + 17,319 + … + 17,325 2,804 + 2,805 + … + 2,852 2,447 + 2,448 + … + 2,502
Aliquot sequence: 138,572 147,028 155,372 167,188 173,558 172,042 107,948 80,968 76,532 67,486 36,338 18,172 22,148 23,338 16,694 9,874 4,940 — unresolved within range

Continued fraction of √n

√138,572 = [372; (3, 1, 23, 3, 1, 3, 9, 1, 1, 7, 1, 14, 3, 4, 1, 2, 2, 1, 1, 1, 1, 3, 5, 2, …)]

Representations

In words
one hundred thirty-eight thousand five hundred seventy-two
Ordinal
138572nd
Binary
100001110101001100
Octal
416514
Hexadecimal
0x21D4C
Base64
Ah1M
One's complement
4,294,828,723 (32-bit)
Scientific notation
1.38572 × 10⁵
As a duration
138,572 s = 1 day, 14 hours, 29 minutes, 32 seconds
In other bases
ternary (3) 21001002022
quaternary (4) 201311030
quinary (5) 13413242
senary (6) 2545312
septenary (7) 1115000
nonary (9) 231068
undecimal (11) 95125
duodecimal (12) 68238
tridecimal (13) 4b0c5
tetradecimal (14) 38700
pentadecimal (15) 2b0d2

As an angle

138,572° = 384 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληφοβʹ
Mayan (base 20)
𝋱·𝋦·𝋨·𝋬
Chinese
一十三萬八千五百七十二
Chinese (financial)
壹拾參萬捌仟伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٨٥٧٢ Devanagari १३८५७२ Bengali ১৩৮৫৭২ Tamil ௧௩௮௫௭௨ Thai ๑๓๘๕๗๒ Tibetan ༡༣༨༥༧༢ Khmer ១៣៨៥៧២ Lao ໑໓໘໕໗໒ Burmese ၁၃၈၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138572, here are decompositions:

  • 3 + 138569 = 138572
  • 13 + 138559 = 138572
  • 61 + 138511 = 138572
  • 79 + 138493 = 138572
  • 103 + 138469 = 138572
  • 139 + 138433 = 138572
  • 199 + 138373 = 138572
  • 223 + 138349 = 138572

Showing the first eight; more decompositions exist.

Unicode codepoint
𡵌
CJK Unified Ideograph-21D4C
U+21D4C
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 8C (4 bytes).

Hex color
#021D4C
RGB(2, 29, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.76.

Address
0.2.29.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.76

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 138,572 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.