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146,624

146,624 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.).

146,624 (one hundred forty-six thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 29 × 79. Its proper divisors sum to 158,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23CC0.

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,152
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
426,641
Recamán's sequence
a(215,168) = 146,624
Square (n²)
21,498,597,376
Cube (n³)
3,152,210,341,658,624
Divisor count
28
σ(n) — sum of divisors
304,800
φ(n) — Euler's totient
69,888
Sum of prime factors
120

Primality

Prime factorization: 2 6 × 29 × 79

Nearest primes: 146,617 (−7) · 146,639 (+15)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 64 · 79 · 116 · 158 · 232 · 316 · 464 · 632 · 928 · 1264 · 1856 · 2291 · 2528 · 4582 · 5056 · 9164 · 18328 · 36656 · 73312 (half) · 146624
Aliquot sum (sum of proper divisors): 158,176
Factor pairs (a × b = 146,624)
1 × 146624
2 × 73312
4 × 36656
8 × 18328
16 × 9164
29 × 5056
32 × 4582
58 × 2528
64 × 2291
79 × 1856
116 × 1264
158 × 928
232 × 632
316 × 464
First multiples
146,624 · 293,248 (double) · 439,872 · 586,496 · 733,120 · 879,744 · 1,026,368 · 1,172,992 · 1,319,616 · 1,466,240

Sums & aliquot sequence

As consecutive integers: 5,042 + 5,043 + … + 5,070 1,817 + 1,818 + … + 1,895 1,082 + 1,083 + … + 1,209
Aliquot sequence: 146,624 158,176 153,296 200,848 188,326 122,714 61,360 94,880 129,652 97,246 48,626 26,218 13,112 13,888 18,624 31,160 44,440 — unresolved within range

Continued fraction of √n

√146,624 = [382; (1, 10, 1, 3, 1, 1, 1, 1, 2, 11, 2, 1, 1, 30, 27, 3, 7, 9, 2, 3, 2, 3, 4, 11, …)]

Representations

In words
one hundred forty-six thousand six hundred twenty-four
Ordinal
146624th
Binary
100011110011000000
Octal
436300
Hexadecimal
0x23CC0
Base64
AjzA
One's complement
4,294,820,671 (32-bit)
Scientific notation
1.46624 × 10⁵
As a duration
146,624 s = 1 day, 16 hours, 43 minutes, 44 seconds
In other bases
ternary (3) 21110010112
quaternary (4) 203303000
quinary (5) 14142444
senary (6) 3050452
septenary (7) 1150322
nonary (9) 243115
undecimal (11) a0185
duodecimal (12) 70a28
tridecimal (13) 5197a
tetradecimal (14) 3b612
pentadecimal (15) 2d69e

As an angle

146,624° = 407 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛχκδʹ
Mayan (base 20)
𝋲·𝋦·𝋫·𝋤
Chinese
一十四萬六千六百二十四
Chinese (financial)
壹拾肆萬陸仟陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٤٦٦٢٤ Devanagari १४६६२४ Bengali ১৪৬৬২৪ Tamil ௧௪௬௬௨௪ Thai ๑๔๖๖๒๔ Tibetan ༡༤༦༦༢༤ Khmer ១៤៦៦២៤ Lao ໑໔໖໖໒໔ Burmese ၁၄၆၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146624, here are decompositions:

  • 7 + 146617 = 146624
  • 43 + 146581 = 146624
  • 61 + 146563 = 146624
  • 97 + 146527 = 146624
  • 103 + 146521 = 146624
  • 241 + 146383 = 146624
  • 277 + 146347 = 146624
  • 307 + 146317 = 146624

Showing the first eight; more decompositions exist.

Unicode codepoint
𣳀
CJK Unified Ideograph-23Cc0
U+23CC0
Other letter (Lo)

UTF-8 encoding: F0 A3 B3 80 (4 bytes).

Hex color
#023CC0
RGB(2, 60, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.192.

Address
0.2.60.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.192

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 146,624 and was likely granted around 1873.

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.