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125,820

125,820 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.).

125,820 (one hundred twenty-five thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 5 × 233. Its proper divisors sum to 267,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EB7C.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
28,521
Recamán's sequence
a(234,524) = 125,820
Square (n²)
15,830,672,400
Cube (n³)
1,991,815,201,368,000
Divisor count
48
σ(n) — sum of divisors
393,120
φ(n) — Euler's totient
33,408
Sum of prime factors
251

Primality

Prime factorization: 2 2 × 3 3 × 5 × 233

Nearest primes: 125,813 (−7) · 125,821 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 36 · 45 · 54 · 60 · 90 · 108 · 135 · 180 · 233 · 270 · 466 · 540 · 699 · 932 · 1165 · 1398 · 2097 · 2330 · 2796 · 3495 · 4194 · 4660 · 6291 · 6990 · 8388 · 10485 · 12582 · 13980 · 20970 · 25164 · 31455 · 41940 · 62910 (half) · 125820
Aliquot sum (sum of proper divisors): 267,300
Factor pairs (a × b = 125,820)
1 × 125820
2 × 62910
3 × 41940
4 × 31455
5 × 25164
6 × 20970
9 × 13980
10 × 12582
12 × 10485
15 × 8388
18 × 6990
20 × 6291
27 × 4660
30 × 4194
36 × 3495
45 × 2796
54 × 2330
60 × 2097
90 × 1398
108 × 1165
135 × 932
180 × 699
233 × 540
270 × 466
First multiples
125,820 · 251,640 (double) · 377,460 · 503,280 · 629,100 · 754,920 · 880,740 · 1,006,560 · 1,132,380 · 1,258,200

Sums & aliquot sequence

As consecutive integers: 41,939 + 41,940 + 41,941 25,162 + 25,163 + 25,164 + 25,165 + 25,166 15,724 + 15,725 + … + 15,731 13,976 + 13,977 + … + 13,984
Aliquot sequence: 125,820 267,300 680,556 907,436 707,044 625,560 1,400,520 3,187,320 6,375,000 14,718,480 37,432,944 67,953,168 128,726,766 209,500,434 327,763,566 477,280,674 693,322,326 — unresolved within range

Continued fraction of √n

√125,820 = [354; (1, 2, 2, 6, 12, 1, 1, 19, 5, 2, 1, 2, 1, 13, 1, 2, 1, 78, 12, 1, 1, 1, 9, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand eight hundred twenty
Ordinal
125820th
Binary
11110101101111100
Octal
365574
Hexadecimal
0x1EB7C
Base64
Aet8
One's complement
4,294,841,475 (32-bit)
Scientific notation
1.2582 × 10⁵
As a duration
125,820 s = 1 day, 10 hours, 57 minutes
In other bases
ternary (3) 20101121000
quaternary (4) 132231330
quinary (5) 13011240
senary (6) 2410300
septenary (7) 1032552
nonary (9) 211530
undecimal (11) 86592
duodecimal (12) 60990
tridecimal (13) 45366
tetradecimal (14) 33bd2
pentadecimal (15) 27430

As an angle

125,820° = 349 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκεωκʹ
Mayan (base 20)
𝋯·𝋮·𝋫·𝋠
Chinese
一十二萬五千八百二十
Chinese (financial)
壹拾貳萬伍仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٢٥٨٢٠ Devanagari १२५८२० Bengali ১২৫৮২০ Tamil ௧௨௫௮௨௦ Thai ๑๒๕๘๒๐ Tibetan ༡༢༥༨༢༠ Khmer ១២៥៨២០ Lao ໑໒໕໘໒໐ Burmese ၁၂၅၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125820, here are decompositions:

  • 7 + 125813 = 125820
  • 17 + 125803 = 125820
  • 29 + 125791 = 125820
  • 31 + 125789 = 125820
  • 43 + 125777 = 125820
  • 67 + 125753 = 125820
  • 83 + 125737 = 125820
  • 89 + 125731 = 125820

Showing the first eight; more decompositions exist.

Hex color
#01EB7C
RGB(1, 235, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.235.124.

Address
0.1.235.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.235.124

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 125,820 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 125820 first appears in π at position 973,347 of the decimal expansion (the 973,347ordinal-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°.