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124,824

124,824 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.).

124,824 (one hundred twenty-four thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 743. Its proper divisors sum to 232,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E798.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
512
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
428,421
Recamán's sequence
a(236,516) = 124,824
Square (n²)
15,581,030,976
Cube (n³)
1,944,886,610,548,224
Divisor count
32
σ(n) — sum of divisors
357,120
φ(n) — Euler's totient
35,616
Sum of prime factors
759

Primality

Prime factorization: 2 3 × 3 × 7 × 743

Nearest primes: 124,823 (−1) · 124,847 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 84 · 168 · 743 · 1486 · 2229 · 2972 · 4458 · 5201 · 5944 · 8916 · 10402 · 15603 · 17832 · 20804 · 31206 · 41608 · 62412 (half) · 124824
Aliquot sum (sum of proper divisors): 232,296
Factor pairs (a × b = 124,824)
1 × 124824
2 × 62412
3 × 41608
4 × 31206
6 × 20804
7 × 17832
8 × 15603
12 × 10402
14 × 8916
21 × 5944
24 × 5201
28 × 4458
42 × 2972
56 × 2229
84 × 1486
168 × 743
First multiples
124,824 · 249,648 (double) · 374,472 · 499,296 · 624,120 · 748,944 · 873,768 · 998,592 · 1,123,416 · 1,248,240

Sums & aliquot sequence

As consecutive integers: 41,607 + 41,608 + 41,609 17,829 + 17,830 + … + 17,835 7,794 + 7,795 + … + 7,809 5,934 + 5,935 + … + 5,954
Aliquot sequence: 124,824 232,296 348,504 590,616 1,134,744 1,921,176 3,282,204 4,376,300 5,232,460 5,800,100 7,199,068 5,805,924 7,741,260 16,566,660 39,679,740 84,727,620 181,071,144 — unresolved within range

Continued fraction of √n

√124,824 = [353; (3, 3, 1, 1, 34, 1, 3, 3, 1, 5, 1, 27, 2, 2, 2, 1, 7, 1, 2, 2, 2, 27, 1, 5, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand eight hundred twenty-four
Ordinal
124824th
Binary
11110011110011000
Octal
363630
Hexadecimal
0x1E798
Base64
AeeY
One's complement
4,294,842,471 (32-bit)
Scientific notation
1.24824 × 10⁵
As a duration
124,824 s = 1 day, 10 hours, 40 minutes, 24 seconds
In other bases
ternary (3) 20100020010
quaternary (4) 132132120
quinary (5) 12443244
senary (6) 2401520
septenary (7) 1026630
nonary (9) 210203
undecimal (11) 85867
duodecimal (12) 602a0
tridecimal (13) 44a7b
tetradecimal (14) 336c0
pentadecimal (15) 26eb9

As an angle

124,824° = 346 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκδωκδʹ
Mayan (base 20)
𝋯·𝋬·𝋡·𝋤
Chinese
一十二萬四千八百二十四
Chinese (financial)
壹拾貳萬肆仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٢٤٨٢٤ Devanagari १२४८२४ Bengali ১২৪৮২৪ Tamil ௧௨௪௮௨௪ Thai ๑๒๔๘๒๔ Tibetan ༡༢༤༨༢༤ Khmer ១២៤៨២៤ Lao ໑໒໔໘໒໔ Burmese ၁၂၄၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124824, here are decompositions:

  • 5 + 124819 = 124824
  • 31 + 124793 = 124824
  • 41 + 124783 = 124824
  • 43 + 124781 = 124824
  • 47 + 124777 = 124824
  • 53 + 124771 = 124824
  • 71 + 124753 = 124824
  • 103 + 124721 = 124824

Showing the first eight; more decompositions exist.

Hex color
#01E798
RGB(1, 231, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.231.152.

Address
0.1.231.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.231.152

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 124,824 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.