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125,984

125,984 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.).

125,984 (one hundred twenty-five thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 31 × 127. Its proper divisors sum to 132,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EC20.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,880
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
489,521
Recamán's sequence
a(234,196) = 125,984
Square (n²)
15,871,968,256
Cube (n³)
1,999,614,048,763,904
Divisor count
24
σ(n) — sum of divisors
258,048
φ(n) — Euler's totient
60,480
Sum of prime factors
168

Primality

Prime factorization: 2 5 × 31 × 127

Nearest primes: 125,963 (−21) · 126,001 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 31 · 32 · 62 · 124 · 127 · 248 · 254 · 496 · 508 · 992 · 1016 · 2032 · 3937 · 4064 · 7874 · 15748 · 31496 · 62992 (half) · 125984
Aliquot sum (sum of proper divisors): 132,064
Factor pairs (a × b = 125,984)
1 × 125984
2 × 62992
4 × 31496
8 × 15748
16 × 7874
31 × 4064
32 × 3937
62 × 2032
124 × 1016
127 × 992
248 × 508
254 × 496
First multiples
125,984 · 251,968 (double) · 377,952 · 503,936 · 629,920 · 755,904 · 881,888 · 1,007,872 · 1,133,856 · 1,259,840

Sums & aliquot sequence

As consecutive integers: 4,049 + 4,050 + … + 4,079 1,937 + 1,938 + … + 2,000 929 + 930 + … + 1,055
Aliquot sequence: 125,984 132,064 128,000 191,332 154,524 212,836 188,376 295,464 500,856 784,344 1,355,496 2,033,304 4,686,696 10,701,144 18,281,316 24,375,116 18,281,344 — unresolved within range

Continued fraction of √n

√125,984 = [354; (1, 16, 3, 5, 1, 21, 2, 1, 12, 4, 4, 177, 4, 4, 12, 1, 2, 21, 1, 5, 3, 16, 1, 708)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand nine hundred eighty-four
Ordinal
125984th
Binary
11110110000100000
Octal
366040
Hexadecimal
0x1EC20
Base64
Aewg
One's complement
4,294,841,311 (32-bit)
Scientific notation
1.25984 × 10⁵
As a duration
125,984 s = 1 day, 10 hours, 59 minutes, 44 seconds
In other bases
ternary (3) 20101211002
quaternary (4) 132300200
quinary (5) 13012414
senary (6) 2411132
septenary (7) 1033205
nonary (9) 211732
undecimal (11) 86721
duodecimal (12) 60aa8
tridecimal (13) 45461
tetradecimal (14) 33cac
pentadecimal (15) 274de

As an angle

125,984° = 349 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκεϡπδʹ
Mayan (base 20)
𝋯·𝋮·𝋳·𝋤
Chinese
一十二萬五千九百八十四
Chinese (financial)
壹拾貳萬伍仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٢٥٩٨٤ Devanagari १२५९८४ Bengali ১২৫৯৮৪ Tamil ௧௨௫௯௮௪ Thai ๑๒๕๙๘๔ Tibetan ༡༢༥༩༨༤ Khmer ១២៥៩៨៤ Lao ໑໒໕໙໘໔ Burmese ၁၂၅၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125984, here are decompositions:

  • 43 + 125941 = 125984
  • 97 + 125887 = 125984
  • 163 + 125821 = 125984
  • 181 + 125803 = 125984
  • 193 + 125791 = 125984
  • 241 + 125743 = 125984
  • 277 + 125707 = 125984
  • 367 + 125617 = 125984

Showing the first eight; more decompositions exist.

Hex color
#01EC20
RGB(1, 236, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.32.

Address
0.1.236.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.32

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 125,984 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 125984 first appears in π at position 418,859 of the decimal expansion (the 418,859ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.