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125,744

125,744 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.).

125,744 (one hundred twenty-five thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 271. Its proper divisors sum to 127,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EB30.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,120
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
447,521
Recamán's sequence
a(234,676) = 125,744
Square (n²)
15,811,553,536
Cube (n³)
1,988,207,987,830,784
Divisor count
20
σ(n) — sum of divisors
252,960
φ(n) — Euler's totient
60,480
Sum of prime factors
308

Primality

Prime factorization: 2 4 × 29 × 271

Nearest primes: 125,743 (−1) · 125,753 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 29 · 58 · 116 · 232 · 271 · 464 · 542 · 1084 · 2168 · 4336 · 7859 · 15718 · 31436 · 62872 (half) · 125744
Aliquot sum (sum of proper divisors): 127,216
Factor pairs (a × b = 125,744)
1 × 125744
2 × 62872
4 × 31436
8 × 15718
16 × 7859
29 × 4336
58 × 2168
116 × 1084
232 × 542
271 × 464
First multiples
125,744 · 251,488 (double) · 377,232 · 502,976 · 628,720 · 754,464 · 880,208 · 1,005,952 · 1,131,696 · 1,257,440

Sums & aliquot sequence

As consecutive integers: 4,322 + 4,323 + … + 4,350 3,914 + 3,915 + … + 3,945 329 + 330 + … + 599
Aliquot sequence: 125,744 127,216 119,296 120,086 62,194 40,748 32,164 34,364 32,668 24,508 22,364 16,780 18,500 22,996 17,254 8,630 6,922 — unresolved within range

Continued fraction of √n

√125,744 = [354; (1, 1, 1, 1, 9, 2, 1, 1, 2, 1, 30, 8, 1, 4, 1, 34, 1, 1, 1, 2, 2, 1, 1, 1, …)]

Representations

In words
one hundred twenty-five thousand seven hundred forty-four
Ordinal
125744th
Binary
11110101100110000
Octal
365460
Hexadecimal
0x1EB30
Base64
Aesw
One's complement
4,294,841,551 (32-bit)
Scientific notation
1.25744 × 10⁵
As a duration
125,744 s = 1 day, 10 hours, 55 minutes, 44 seconds
In other bases
ternary (3) 20101111012
quaternary (4) 132230300
quinary (5) 13010434
senary (6) 2410052
septenary (7) 1032413
nonary (9) 211435
undecimal (11) 86523
duodecimal (12) 60928
tridecimal (13) 45308
tetradecimal (14) 33b7a
pentadecimal (15) 273ce

As an angle

125,744° = 349 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκεψμδʹ
Mayan (base 20)
𝋯·𝋮·𝋧·𝋤
Chinese
一十二萬五千七百四十四
Chinese (financial)
壹拾貳萬伍仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ١٢٥٧٤٤ Devanagari १२५७४४ Bengali ১২৫৭৪৪ Tamil ௧௨௫௭௪௪ Thai ๑๒๕๗๔๔ Tibetan ༡༢༥༧༤༤ Khmer ១២៥៧៤៤ Lao ໑໒໕໗໔໔ Burmese ၁၂၅၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125744, here are decompositions:

  • 7 + 125737 = 125744
  • 13 + 125731 = 125744
  • 37 + 125707 = 125744
  • 61 + 125683 = 125744
  • 103 + 125641 = 125744
  • 127 + 125617 = 125744
  • 193 + 125551 = 125744
  • 337 + 125407 = 125744

Showing the first eight; more decompositions exist.

Hex color
#01EB30
RGB(1, 235, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.235.48.

Address
0.1.235.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.235.48

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 125,744 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.