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125,972

125,972 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.).

125,972 (one hundred twenty-five thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 11 × 409. Its proper divisors sum to 149,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EC14.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,260
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
279,521
Recamán's sequence
a(234,220) = 125,972
Square (n²)
15,868,944,784
Cube (n³)
1,999,042,712,330,048
Divisor count
24
σ(n) — sum of divisors
275,520
φ(n) — Euler's totient
48,960
Sum of prime factors
431

Primality

Prime factorization: 2 2 × 7 × 11 × 409

Nearest primes: 125,963 (−9) · 126,001 (+29)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 11 · 14 · 22 · 28 · 44 · 77 · 154 · 308 · 409 · 818 · 1636 · 2863 · 4499 · 5726 · 8998 · 11452 · 17996 · 31493 · 62986 (half) · 125972
Aliquot sum (sum of proper divisors): 149,548
Factor pairs (a × b = 125,972)
1 × 125972
2 × 62986
4 × 31493
7 × 17996
11 × 11452
14 × 8998
22 × 5726
28 × 4499
44 × 2863
77 × 1636
154 × 818
308 × 409
First multiples
125,972 · 251,944 (double) · 377,916 · 503,888 · 629,860 · 755,832 · 881,804 · 1,007,776 · 1,133,748 · 1,259,720

Sums & aliquot sequence

As consecutive integers: 17,993 + 17,994 + … + 17,999 15,743 + 15,744 + … + 15,750 11,447 + 11,448 + … + 11,457 2,222 + 2,223 + … + 2,277
Aliquot sequence: 125,972 149,548 158,452 158,508 339,444 668,556 1,302,504 2,419,416 4,607,784 7,871,826 7,871,838 9,484,578 11,128,170 16,502,550 24,424,146 30,084,654 31,231,986 — unresolved within range

Continued fraction of √n

√125,972 = [354; (1, 12, 2, 1, 1, 7, 8, 2, 2, 1, 1, 1, 9, 1, 4, 4, 1, 43, 1, 1, 3, 1, 4, 1, …)]

Representations

In words
one hundred twenty-five thousand nine hundred seventy-two
Ordinal
125972nd
Binary
11110110000010100
Octal
366024
Hexadecimal
0x1EC14
Base64
AewU
One's complement
4,294,841,323 (32-bit)
Scientific notation
1.25972 × 10⁵
As a duration
125,972 s = 1 day, 10 hours, 59 minutes, 32 seconds
In other bases
ternary (3) 20101210122
quaternary (4) 132300110
quinary (5) 13012342
senary (6) 2411112
septenary (7) 1033160
nonary (9) 211718
undecimal (11) 86710
duodecimal (12) 60a98
tridecimal (13) 45452
tetradecimal (14) 33ca0
pentadecimal (15) 274d2

As an angle

125,972° = 349 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκεϡοβʹ
Mayan (base 20)
𝋯·𝋮·𝋲·𝋬
Chinese
一十二萬五千九百七十二
Chinese (financial)
壹拾貳萬伍仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٥٩٧٢ Devanagari १२५९७२ Bengali ১২৫৯৭২ Tamil ௧௨௫௯௭௨ Thai ๑๒๕๙๗๒ Tibetan ༡༢༥༩༧༢ Khmer ១២៥៩៧២ Lao ໑໒໕໙໗໒ Burmese ၁၂၅၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125972, here are decompositions:

  • 13 + 125959 = 125972
  • 31 + 125941 = 125972
  • 43 + 125929 = 125972
  • 73 + 125899 = 125972
  • 109 + 125863 = 125972
  • 151 + 125821 = 125972
  • 181 + 125791 = 125972
  • 229 + 125743 = 125972

Showing the first eight; more decompositions exist.

Hex color
#01EC14
RGB(1, 236, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.20.

Address
0.1.236.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.20

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 125,972 and was likely granted around 1871.

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

Related reading

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