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124,164

124,164 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.).

124,164 (one hundred twenty-four thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,449. Its proper divisors sum to 189,786, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E504.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
461,421
Recamán's sequence
a(237,836) = 124,164
Square (n²)
15,416,698,896
Cube (n³)
1,914,199,001,722,944
Divisor count
18
σ(n) — sum of divisors
313,950
φ(n) — Euler's totient
41,376
Sum of prime factors
3,459

Primality

Prime factorization: 2 2 × 3 2 × 3449

Nearest primes: 124,153 (−11) · 124,171 (+7)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3449 · 6898 · 10347 · 13796 · 20694 · 31041 · 41388 · 62082 (half) · 124164
Aliquot sum (sum of proper divisors): 189,786
Factor pairs (a × b = 124,164)
1 × 124164
2 × 62082
3 × 41388
4 × 31041
6 × 20694
9 × 13796
12 × 10347
18 × 6898
36 × 3449
First multiples
124,164 · 248,328 (double) · 372,492 · 496,656 · 620,820 · 744,984 · 869,148 · 993,312 · 1,117,476 · 1,241,640

Sums & aliquot sequence

As a sum of two squares: 240² + 258²
As consecutive integers: 41,387 + 41,388 + 41,389 15,517 + 15,518 + … + 15,524 13,792 + 13,793 + … + 13,800 5,162 + 5,163 + … + 5,185
Aliquot sequence: 124,164 189,786 198,438 198,450 442,971 205,677 91,425 69,279 36,321 12,111 5,553 2,481 831 281 1 0 — terminates at zero

Continued fraction of √n

√124,164 = [352; (2, 1, 2, 2, 3, 1, 1, 15, 10, 3, 2, 1, 21, 3, 11, 1, 1, 1, 1, 1, 1, 5, 14, 1, …)]

Representations

In words
one hundred twenty-four thousand one hundred sixty-four
Ordinal
124164th
Binary
11110010100000100
Octal
362404
Hexadecimal
0x1E504
Base64
AeUE
One's complement
4,294,843,131 (32-bit)
Scientific notation
1.24164 × 10⁵
As a duration
124,164 s = 1 day, 10 hours, 29 minutes, 24 seconds
In other bases
ternary (3) 20022022200
quaternary (4) 132110010
quinary (5) 12433124
senary (6) 2354500
septenary (7) 1024665
nonary (9) 208280
undecimal (11) 85317
duodecimal (12) 5ba30
tridecimal (13) 44691
tetradecimal (14) 3336c
pentadecimal (15) 26bc9

As an angle

124,164° = 344 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκδρξδʹ
Mayan (base 20)
𝋯·𝋪·𝋨·𝋤
Chinese
一十二萬四千一百六十四
Chinese (financial)
壹拾貳萬肆仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٤١٦٤ Devanagari १२४१६४ Bengali ১২৪১৬৪ Tamil ௧௨௪௧௬௪ Thai ๑๒๔๑๖๔ Tibetan ༡༢༤༡༦༤ Khmer ១២៤១៦៤ Lao ໑໒໔໑໖໔ Burmese ၁၂၄၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124164, here are decompositions:

  • 11 + 124153 = 124164
  • 17 + 124147 = 124164
  • 31 + 124133 = 124164
  • 41 + 124123 = 124164
  • 43 + 124121 = 124164
  • 67 + 124097 = 124164
  • 97 + 124067 = 124164
  • 163 + 124001 = 124164

Showing the first eight; more decompositions exist.

Hex color
#01E504
RGB(1, 229, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.229.4.

Address
0.1.229.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.229.4

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 124,164 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 124164 first appears in π at position 33,118 of the decimal expansion (the 33,118ordinal-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°.