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125,712

125,712 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.).

125,712 (one hundred twenty-five thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 3⁴ × 97. Its proper divisors sum to 241,886, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EB10.

Abundant 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
140
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
217,521
Recamán's sequence
a(234,740) = 125,712
Square (n²)
15,803,506,944
Cube (n³)
1,986,690,464,944,128
Divisor count
50
σ(n) — sum of divisors
367,598
φ(n) — Euler's totient
41,472
Sum of prime factors
117

Primality

Prime factorization: 2 4 × 3 4 × 97

Nearest primes: 125,711 (−1) · 125,717 (+5)

Divisors & multiples

All divisors (50)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 81 · 97 · 108 · 144 · 162 · 194 · 216 · 291 · 324 · 388 · 432 · 582 · 648 · 776 · 873 · 1164 · 1296 · 1552 · 1746 · 2328 · 2619 · 3492 · 4656 · 5238 · 6984 · 7857 · 10476 · 13968 · 15714 · 20952 · 31428 · 41904 · 62856 (half) · 125712
Aliquot sum (sum of proper divisors): 241,886
Factor pairs (a × b = 125,712)
1 × 125712
2 × 62856
3 × 41904
4 × 31428
6 × 20952
8 × 15714
9 × 13968
12 × 10476
16 × 7857
18 × 6984
24 × 5238
27 × 4656
36 × 3492
48 × 2619
54 × 2328
72 × 1746
81 × 1552
97 × 1296
108 × 1164
144 × 873
162 × 776
194 × 648
216 × 582
291 × 432
324 × 388
First multiples
125,712 · 251,424 (double) · 377,136 · 502,848 · 628,560 · 754,272 · 879,984 · 1,005,696 · 1,131,408 · 1,257,120

Sums & aliquot sequence

As a sum of two squares: 144² + 324²
As consecutive integers: 41,903 + 41,904 + 41,905 13,964 + 13,965 + … + 13,972 4,643 + 4,644 + … + 4,669 3,913 + 3,914 + … + 3,944
Aliquot sequence: 125,712 241,886 120,946 91,598 57,730 51,134 27,754 13,880 17,440 24,140 30,292 22,726 14,498 9,262 5,930 4,762 2,384 — unresolved within range

Continued fraction of √n

√125,712 = [354; (1, 1, 3, 1, 2, 1, 14, 2, 1, 5, 5, 2, 1, 2, 1, 78, 16, 9, 1, 1, 1, 6, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand seven hundred twelve
Ordinal
125712th
Binary
11110101100010000
Octal
365420
Hexadecimal
0x1EB10
Base64
AesQ
One's complement
4,294,841,583 (32-bit)
Scientific notation
1.25712 × 10⁵
As a duration
125,712 s = 1 day, 10 hours, 55 minutes, 12 seconds
In other bases
ternary (3) 20101110000
quaternary (4) 132230100
quinary (5) 13010322
senary (6) 2410000
septenary (7) 1032336
nonary (9) 211400
undecimal (11) 864a4
duodecimal (12) 60900
tridecimal (13) 452b2
tetradecimal (14) 33b56
pentadecimal (15) 273ac

As an angle

125,712° = 349 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρκεψιβʹ
Mayan (base 20)
𝋯·𝋮·𝋥·𝋬
Chinese
一十二萬五千七百一十二
Chinese (financial)
壹拾貳萬伍仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٢٥٧١٢ Devanagari १२५७१२ Bengali ১২৫৭১২ Tamil ௧௨௫௭௧௨ Thai ๑๒๕๗๑๒ Tibetan ༡༢༥༧༡༢ Khmer ១២៥៧១២ Lao ໑໒໕໗໑໒ Burmese ၁၂၅၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125712, here are decompositions:

  • 5 + 125707 = 125712
  • 19 + 125693 = 125712
  • 29 + 125683 = 125712
  • 43 + 125669 = 125712
  • 53 + 125659 = 125712
  • 61 + 125651 = 125712
  • 71 + 125641 = 125712
  • 73 + 125639 = 125712

Showing the first eight; more decompositions exist.

Hex color
#01EB10
RGB(1, 235, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.235.16.

Address
0.1.235.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.235.16

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 125,712 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 125712 first appears in π at position 923,815 of the decimal expansion (the 923,815ordinal-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°.