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129,984

129,984 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.).

129,984 (one hundred twenty-nine thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3 × 677. Its proper divisors sum to 214,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBC0.

Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
5,184
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
489,921
Recamán's sequence
a(33,724) = 129,984
Square (n²)
16,895,840,256
Cube (n³)
2,196,188,899,835,904
Divisor count
28
σ(n) — sum of divisors
344,424
φ(n) — Euler's totient
43,264
Sum of prime factors
692

Primality

Prime factorization: 2 6 × 3 × 677

Nearest primes: 129,971 (−13) · 130,003 (+19)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 192 · 677 · 1354 · 2031 · 2708 · 4062 · 5416 · 8124 · 10832 · 16248 · 21664 · 32496 · 43328 · 64992 (half) · 129984
Aliquot sum (sum of proper divisors): 214,440
Factor pairs (a × b = 129,984)
1 × 129984
2 × 64992
3 × 43328
4 × 32496
6 × 21664
8 × 16248
12 × 10832
16 × 8124
24 × 5416
32 × 4062
48 × 2708
64 × 2031
96 × 1354
192 × 677
First multiples
129,984 · 259,968 (double) · 389,952 · 519,936 · 649,920 · 779,904 · 909,888 · 1,039,872 · 1,169,856 · 1,299,840

Sums & aliquot sequence

As consecutive integers: 43,327 + 43,328 + 43,329 952 + 953 + … + 1,079 147 + 148 + … + 530
Aliquot sequence: 129,984 214,440 429,240 1,089,240 2,301,960 4,604,280 10,662,600 24,960,120 49,920,600 119,711,400 270,963,000 990,615,240 2,330,462,520 5,251,699,080 11,816,324,100 — keeps growing

Continued fraction of √n

√129,984 = [360; (1, 1, 7, 11, 7, 1, 1, 720)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-nine thousand nine hundred eighty-four
Ordinal
129984th
Binary
11111101111000000
Octal
375700
Hexadecimal
0x1FBC0
Base64
AfvA
One's complement
4,294,837,311 (32-bit)
Scientific notation
1.29984 × 10⁵
As a duration
129,984 s = 1 day, 12 hours, 6 minutes, 24 seconds
In other bases
ternary (3) 20121022020
quaternary (4) 133233000
quinary (5) 13124414
senary (6) 2441440
septenary (7) 1050651
nonary (9) 217266
undecimal (11) 89728
duodecimal (12) 63280
tridecimal (13) 4721a
tetradecimal (14) 35528
pentadecimal (15) 287a9

As an angle

129,984° = 361 × 360° + 24°
24° ≈ 0.419 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκθϡπδʹ
Mayan (base 20)
𝋰·𝋤·𝋳·𝋤
Chinese
一十二萬九千九百八十四
Chinese (financial)
壹拾貳萬玖仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٢٩٩٨٤ Devanagari १२९९८४ Bengali ১২৯৯৮৪ Tamil ௧௨௯௯௮௪ Thai ๑๒๙๙๘๔ Tibetan ༡༢༩༩༨༤ Khmer ១២៩៩៨៤ Lao ໑໒໙໙໘໔ Burmese ၁၂၉၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 129984, here are decompositions:

  • 13 + 129971 = 129984
  • 17 + 129967 = 129984
  • 31 + 129953 = 129984
  • 47 + 129937 = 129984
  • 67 + 129917 = 129984
  • 83 + 129901 = 129984
  • 97 + 129887 = 129984
  • 131 + 129853 = 129984

Showing the first eight; more decompositions exist.

Unicode codepoint
🯀
White Heavy Saltire With Rounded Corners
U+1FBC0
Other symbol (So)

UTF-8 encoding: F0 9F AF 80 (4 bytes).

Hex color
#01FBC0
RGB(1, 251, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.192.

Address
0.1.251.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.192

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 129,984 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 129984 first appears in π at position 243,220 of the decimal expansion (the 243,220ordinal-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°.