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123,464

123,464 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.).

123,464 (one hundred twenty-three thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 23 × 61. Its proper divisors sum to 144,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E248.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
576
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
464,321
Square (n²)
15,243,359,296
Cube (n³)
1,882,006,112,121,344
Divisor count
32
σ(n) — sum of divisors
267,840
φ(n) — Euler's totient
52,800
Sum of prime factors
101

Primality

Prime factorization: 2 3 × 11 × 23 × 61

Nearest primes: 123,457 (−7) · 123,479 (+15)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 22 · 23 · 44 · 46 · 61 · 88 · 92 · 122 · 184 · 244 · 253 · 488 · 506 · 671 · 1012 · 1342 · 1403 · 2024 · 2684 · 2806 · 5368 · 5612 · 11224 · 15433 · 30866 · 61732 (half) · 123464
Aliquot sum (sum of proper divisors): 144,376
Factor pairs (a × b = 123,464)
1 × 123464
2 × 61732
4 × 30866
8 × 15433
11 × 11224
22 × 5612
23 × 5368
44 × 2806
46 × 2684
61 × 2024
88 × 1403
92 × 1342
122 × 1012
184 × 671
244 × 506
253 × 488
First multiples
123,464 · 246,928 (double) · 370,392 · 493,856 · 617,320 · 740,784 · 864,248 · 987,712 · 1,111,176 · 1,234,640

Sums & aliquot sequence

As consecutive integers: 11,219 + 11,220 + … + 11,229 7,709 + 7,710 + … + 7,724 5,357 + 5,358 + … + 5,379 1,994 + 1,995 + … + 2,054
Aliquot sequence: 123,464 144,376 126,344 124,756 93,574 62,666 31,336 27,434 20,086 13,430 12,490 10,010 14,182 10,154 5,080 6,440 10,840 — unresolved within range

Continued fraction of √n

√123,464 = [351; (2, 1, 2, 27, 1, 2, 1, 3, 2, 2, 3, 2, 2, 3, 1, 2, 1, 27, 2, 1, 2, 702)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-three thousand four hundred sixty-four
Ordinal
123464th
Binary
11110001001001000
Octal
361110
Hexadecimal
0x1E248
Base64
AeJI
One's complement
4,294,843,831 (32-bit)
Scientific notation
1.23464 × 10⁵
As a duration
123,464 s = 1 day, 10 hours, 17 minutes, 44 seconds
In other bases
ternary (3) 20021100202
quaternary (4) 132021020
quinary (5) 12422324
senary (6) 2351332
septenary (7) 1022645
nonary (9) 207322
undecimal (11) 84840
duodecimal (12) 5b548
tridecimal (13) 44273
tetradecimal (14) 32dcc
pentadecimal (15) 268ae

As an angle

123,464° = 342 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκγυξδʹ
Mayan (base 20)
𝋯·𝋨·𝋭·𝋤
Chinese
一十二萬三千四百六十四
Chinese (financial)
壹拾貳萬參仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٣٤٦٤ Devanagari १२३४६४ Bengali ১২৩৪৬৪ Tamil ௧௨௩௪௬௪ Thai ๑๒๓๔๖๔ Tibetan ༡༢༣༤༦༤ Khmer ១២៣៤៦៤ Lao ໑໒໓໔໖໔ Burmese ၁၂၃၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123464, here are decompositions:

  • 7 + 123457 = 123464
  • 31 + 123433 = 123464
  • 37 + 123427 = 123464
  • 67 + 123397 = 123464
  • 157 + 123307 = 123464
  • 337 + 123127 = 123464
  • 373 + 123091 = 123464
  • 433 + 123031 = 123464

Showing the first eight; more decompositions exist.

Hex color
#01E248
RGB(1, 226, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.226.72.

Address
0.1.226.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.226.72

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 123,464 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 123464 first appears in π at position 755,252 of the decimal expansion (the 755,252ordinal-suffix:nd 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

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