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129,072

129,072 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.).

129,072 (one hundred twenty-nine thousand seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,689. Its proper divisors sum to 204,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F830.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
270,921
Recamán's sequence
a(231,496) = 129,072
Square (n²)
16,659,581,184
Cube (n³)
2,150,285,462,581,248
Divisor count
20
σ(n) — sum of divisors
333,560
φ(n) — Euler's totient
43,008
Sum of prime factors
2,700

Primality

Prime factorization: 2 4 × 3 × 2689

Nearest primes: 129,061 (−11) · 129,083 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2689 · 5378 · 8067 · 10756 · 16134 · 21512 · 32268 · 43024 · 64536 (half) · 129072
Aliquot sum (sum of proper divisors): 204,488
Factor pairs (a × b = 129,072)
1 × 129072
2 × 64536
3 × 43024
4 × 32268
6 × 21512
8 × 16134
12 × 10756
16 × 8067
24 × 5378
48 × 2689
First multiples
129,072 · 258,144 (double) · 387,216 · 516,288 · 645,360 · 774,432 · 903,504 · 1,032,576 · 1,161,648 · 1,290,720

Sums & aliquot sequence

As consecutive integers: 43,023 + 43,024 + 43,025 4,018 + 4,019 + … + 4,049 1,297 + 1,298 + … + 1,392
Aliquot sequence: 129,072 204,488 178,942 121,298 60,652 47,708 35,788 29,732 22,306 12,974 8,026 4,016 3,796 3,456 6,744 10,176 17,256 — unresolved within range

Continued fraction of √n

√129,072 = [359; (3, 1, 3, 5, 1, 2, 22, 9, 1, 3, 1, 20, 1, 43, 1, 20, 1, 3, 1, 9, 22, 2, 1, 5, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-nine thousand seventy-two
Ordinal
129072nd
Binary
11111100000110000
Octal
374060
Hexadecimal
0x1F830
Base64
Afgw
One's complement
4,294,838,223 (32-bit)
Scientific notation
1.29072 × 10⁵
As a duration
129,072 s = 1 day, 11 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 20120001110
quaternary (4) 133200300
quinary (5) 13112242
senary (6) 2433320
septenary (7) 1045206
nonary (9) 216043
undecimal (11) 88a79
duodecimal (12) 62840
tridecimal (13) 46998
tetradecimal (14) 35076
pentadecimal (15) 2839c

As an angle

129,072° = 358 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκθοβʹ
Mayan (base 20)
𝋰·𝋢·𝋭·𝋬
Chinese
一十二萬九千零七十二
Chinese (financial)
壹拾貳萬玖仟零柒拾貳
In other modern scripts
Eastern Arabic ١٢٩٠٧٢ Devanagari १२९०७२ Bengali ১২৯০৭২ Tamil ௧௨௯௦௭௨ Thai ๑๒๙๐๗๒ Tibetan ༡༢༩༠༧༢ Khmer ១២៩០៧២ Lao ໑໒໙໐໗໒ Burmese ၁၂၉၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 129072, here are decompositions:

  • 11 + 129061 = 129072
  • 23 + 129049 = 129072
  • 61 + 129011 = 129072
  • 71 + 129001 = 129072
  • 79 + 128993 = 129072
  • 89 + 128983 = 129072
  • 101 + 128971 = 129072
  • 103 + 128969 = 129072

Showing the first eight; more decompositions exist.

Unicode codepoint
🠰
Leftwards Triangle-Headed Arrow With Very Heavy Shaft
U+1F830
Other symbol (So)

UTF-8 encoding: F0 9F A0 B0 (4 bytes).

Hex color
#01F830
RGB(1, 248, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.248.48.

Address
0.1.248.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.248.48

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 129,072 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 129072 first appears in π at position 384,906 of the decimal expansion (the 384,906ordinal-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

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