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139,072

139,072 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.).

139,072 (one hundred thirty-nine thousand seventy-two) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 41 × 53. Its proper divisors sum to 148,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21F40.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
270,931
Recamán's sequence
a(490,683) = 139,072
Square (n²)
19,341,021,184
Cube (n³)
2,689,794,498,101,248
Divisor count
28
σ(n) — sum of divisors
288,036
φ(n) — Euler's totient
66,560
Sum of prime factors
106

Primality

Prime factorization: 2 6 × 41 × 53

Nearest primes: 139,067 (−5) · 139,079 (+7)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 32 · 41 · 53 · 64 · 82 · 106 · 164 · 212 · 328 · 424 · 656 · 848 · 1312 · 1696 · 2173 · 2624 · 3392 · 4346 · 8692 · 17384 · 34768 · 69536 (half) · 139072
Aliquot sum (sum of proper divisors): 148,964
Factor pairs (a × b = 139,072)
1 × 139072
2 × 69536
4 × 34768
8 × 17384
16 × 8692
32 × 4346
41 × 3392
53 × 2624
64 × 2173
82 × 1696
106 × 1312
164 × 848
212 × 656
328 × 424
First multiples
139,072 · 278,144 (double) · 417,216 · 556,288 · 695,360 · 834,432 · 973,504 · 1,112,576 · 1,251,648 · 1,390,720

Sums & aliquot sequence

As a sum of two squares: 144² + 344² = 216² + 304²
As consecutive integers: 3,372 + 3,373 + … + 3,412 2,598 + 2,599 + … + 2,650 1,023 + 1,024 + … + 1,150
Aliquot sequence: 139,072 148,964 114,460 132,500 162,718 81,362 47,914 23,960 30,040 37,640 47,140 51,896 53,104 49,816 50,984 44,626 23,738 — unresolved within range

Continued fraction of √n

√139,072 = [372; (1, 12, 11, 1, 1, 2, 1, 2, 1, 185, 1, 2, 1, 2, 1, 1, 11, 12, 1, 744)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand seventy-two
Ordinal
139072nd
Binary
100001111101000000
Octal
417500
Hexadecimal
0x21F40
Base64
Ah9A
One's complement
4,294,828,223 (32-bit)
Scientific notation
1.39072 × 10⁵
As a duration
139,072 s = 1 day, 14 hours, 37 minutes, 52 seconds
In other bases
ternary (3) 21001202211
quaternary (4) 201331000
quinary (5) 13422242
senary (6) 2551504
septenary (7) 1116313
nonary (9) 231684
undecimal (11) 9553a
duodecimal (12) 68594
tridecimal (13) 4b3bb
tetradecimal (14) 3897a
pentadecimal (15) 2b317

As an angle

139,072° = 386 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλθοβʹ
Mayan (base 20)
𝋱·𝋧·𝋭·𝋬
Chinese
一十三萬九千零七十二
Chinese (financial)
壹拾參萬玖仟零柒拾貳
In other modern scripts
Eastern Arabic ١٣٩٠٧٢ Devanagari १३९०७२ Bengali ১৩৯০৭২ Tamil ௧௩௯௦௭௨ Thai ๑๓๙๐๗๒ Tibetan ༡༣༩༠༧༢ Khmer ១៣៩០៧២ Lao ໑໓໙໐໗໒ Burmese ၁၃၉၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139072, here are decompositions:

  • 5 + 139067 = 139072
  • 113 + 138959 = 139072
  • 149 + 138923 = 139072
  • 173 + 138899 = 139072
  • 179 + 138893 = 139072
  • 251 + 138821 = 139072
  • 389 + 138683 = 139072
  • 431 + 138641 = 139072

Showing the first eight; more decompositions exist.

Unicode codepoint
𡽀
CJK Unified Ideograph-21F40
U+21F40
Other letter (Lo)

UTF-8 encoding: F0 A1 BD 80 (4 bytes).

Hex color
#021F40
RGB(2, 31, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.64.

Address
0.2.31.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.64

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 139,072 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 139072 first appears in π at position 101,574 of the decimal expansion (the 101,574ordinal-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