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146,124

146,124 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.).

146,124 (one hundred forty-six thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 11 × 41. Its proper divisors sum to 280,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23ACC.

Abundant Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
421,641
Recamán's sequence
a(216,168) = 146,124
Square (n²)
21,352,223,376
Cube (n³)
3,120,072,288,594,624
Divisor count
60
σ(n) — sum of divisors
426,888
φ(n) — Euler's totient
43,200
Sum of prime factors
68

Primality

Prime factorization: 2 2 × 3 4 × 11 × 41

Nearest primes: 146,117 (−7) · 146,141 (+17)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 27 · 33 · 36 · 41 · 44 · 54 · 66 · 81 · 82 · 99 · 108 · 123 · 132 · 162 · 164 · 198 · 246 · 297 · 324 · 369 · 396 · 451 · 492 · 594 · 738 · 891 · 902 · 1107 · 1188 · 1353 · 1476 · 1782 · 1804 · 2214 · 2706 · 3321 · 3564 · 4059 · 4428 · 5412 · 6642 · 8118 · 12177 · 13284 · 16236 · 24354 · 36531 · 48708 · 73062 (half) · 146124
Aliquot sum (sum of proper divisors): 280,764
Factor pairs (a × b = 146,124)
1 × 146124
2 × 73062
3 × 48708
4 × 36531
6 × 24354
9 × 16236
11 × 13284
12 × 12177
18 × 8118
22 × 6642
27 × 5412
33 × 4428
36 × 4059
41 × 3564
44 × 3321
54 × 2706
66 × 2214
81 × 1804
82 × 1782
99 × 1476
108 × 1353
123 × 1188
132 × 1107
162 × 902
164 × 891
198 × 738
246 × 594
297 × 492
324 × 451
369 × 396
First multiples
146,124 · 292,248 (double) · 438,372 · 584,496 · 730,620 · 876,744 · 1,022,868 · 1,168,992 · 1,315,116 · 1,461,240

Sums & aliquot sequence

As consecutive integers: 48,707 + 48,708 + 48,709 18,262 + 18,263 + … + 18,269 16,232 + 16,233 + … + 16,240 13,279 + 13,280 + … + 13,289
Aliquot sequence: 146,124 280,764 494,556 659,436 892,884 1,247,884 1,171,316 899,116 804,404 603,310 482,666 241,336 217,304 208,216 205,424 204,520 255,740 — unresolved within range

Continued fraction of √n

√146,124 = [382; (3, 1, 4, 1, 1, 2, 10, 4, 2, 2, 1, 19, 1, 20, 3, 1, 1, 30, 95, 1, 1, 7, 7, 84, …)]

Representations

In words
one hundred forty-six thousand one hundred twenty-four
Ordinal
146124th
Binary
100011101011001100
Octal
435314
Hexadecimal
0x23ACC
Base64
AjrM
One's complement
4,294,821,171 (32-bit)
Scientific notation
1.46124 × 10⁵
As a duration
146,124 s = 1 day, 16 hours, 35 minutes, 24 seconds
In other bases
ternary (3) 21102110000
quaternary (4) 203223030
quinary (5) 14133444
senary (6) 3044300
septenary (7) 1146006
nonary (9) 242400
undecimal (11) 9a870
duodecimal (12) 70690
tridecimal (13) 51684
tetradecimal (14) 3b376
pentadecimal (15) 2d469

As an angle

146,124° = 405 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛρκδʹ
Mayan (base 20)
𝋲·𝋥·𝋦·𝋤
Chinese
一十四萬六千一百二十四
Chinese (financial)
壹拾肆萬陸仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١٤٦١٢٤ Devanagari १४६१२४ Bengali ১৪৬১২৪ Tamil ௧௪௬௧௨௪ Thai ๑๔๖๑๒๔ Tibetan ༡༤༦༡༢༤ Khmer ១៤៦១២៤ Lao ໑໔໖໑໒໔ Burmese ၁၄၆၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146124, here are decompositions:

  • 7 + 146117 = 146124
  • 31 + 146093 = 146124
  • 47 + 146077 = 146124
  • 61 + 146063 = 146124
  • 67 + 146057 = 146124
  • 73 + 146051 = 146124
  • 101 + 146023 = 146124
  • 103 + 146021 = 146124

Showing the first eight; more decompositions exist.

Unicode codepoint
𣫌
CJK Unified Ideograph-23Acc
U+23ACC
Other letter (Lo)

UTF-8 encoding: F0 A3 AB 8C (4 bytes).

Hex color
#023ACC
RGB(2, 58, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.204.

Address
0.2.58.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.204

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 146,124 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

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