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146,376

146,376 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.).

146,376 (one hundred forty-six thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 19 × 107. Its proper divisors sum to 274,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23BC8.

Abundant Number Arithmetic Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,024
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
673,641
Recamán's sequence
a(215,664) = 146,376
Square (n²)
21,425,933,376
Cube (n³)
3,136,242,423,845,376
Divisor count
48
σ(n) — sum of divisors
421,200
φ(n) — Euler's totient
45,792
Sum of prime factors
138

Primality

Prime factorization: 2 3 × 3 2 × 19 × 107

Nearest primes: 146,369 (−7) · 146,381 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 19 · 24 · 36 · 38 · 57 · 72 · 76 · 107 · 114 · 152 · 171 · 214 · 228 · 321 · 342 · 428 · 456 · 642 · 684 · 856 · 963 · 1284 · 1368 · 1926 · 2033 · 2568 · 3852 · 4066 · 6099 · 7704 · 8132 · 12198 · 16264 · 18297 · 24396 · 36594 · 48792 · 73188 (half) · 146376
Aliquot sum (sum of proper divisors): 274,824
Factor pairs (a × b = 146,376)
1 × 146376
2 × 73188
3 × 48792
4 × 36594
6 × 24396
8 × 18297
9 × 16264
12 × 12198
18 × 8132
19 × 7704
24 × 6099
36 × 4066
38 × 3852
57 × 2568
72 × 2033
76 × 1926
107 × 1368
114 × 1284
152 × 963
171 × 856
214 × 684
228 × 642
321 × 456
342 × 428
First multiples
146,376 · 292,752 (double) · 439,128 · 585,504 · 731,880 · 878,256 · 1,024,632 · 1,171,008 · 1,317,384 · 1,463,760

Sums & aliquot sequence

As consecutive integers: 48,791 + 48,792 + 48,793 16,260 + 16,261 + … + 16,268 9,141 + 9,142 + … + 9,156 7,695 + 7,696 + … + 7,713
Aliquot sequence: 146,376 274,824 539,496 958,104 2,009,016 3,693,384 6,566,616 14,975,784 25,583,826 26,054,574 43,237,362 56,619,150 103,858,674 119,886,606 178,155,762 178,155,774 221,045,490 — unresolved within range

Continued fraction of √n

√146,376 = [382; (1, 1, 2, 4, 7, 1, 4, 1, 3, 1, 3, 30, 2, 1, 10, 9, 2, 1, 4, 1, 94, 1, 4, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand three hundred seventy-six
Ordinal
146376th
Binary
100011101111001000
Octal
435710
Hexadecimal
0x23BC8
Base64
AjvI
One's complement
4,294,820,919 (32-bit)
Scientific notation
1.46376 × 10⁵
As a duration
146,376 s = 1 day, 16 hours, 39 minutes, 36 seconds
In other bases
ternary (3) 21102210100
quaternary (4) 203233020
quinary (5) 14141001
senary (6) 3045400
septenary (7) 1146516
nonary (9) 242710
undecimal (11) 9aa7a
duodecimal (12) 70860
tridecimal (13) 51819
tetradecimal (14) 3b4b6
pentadecimal (15) 2d586

As an angle

146,376° = 406 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛτοϛʹ
Mayan (base 20)
𝋲·𝋥·𝋲·𝋰
Chinese
一十四萬六千三百七十六
Chinese (financial)
壹拾肆萬陸仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٤٦٣٧٦ Devanagari १४६३७६ Bengali ১৪৬৩৭৬ Tamil ௧௪௬௩௭௬ Thai ๑๔๖๓๗๖ Tibetan ༡༤༦༣༧༦ Khmer ១៤៦៣៧៦ Lao ໑໔໖໓໗໖ Burmese ၁၄၆၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146376, here are decompositions:

  • 7 + 146369 = 146376
  • 17 + 146359 = 146376
  • 29 + 146347 = 146376
  • 53 + 146323 = 146376
  • 59 + 146317 = 146376
  • 67 + 146309 = 146376
  • 79 + 146297 = 146376
  • 103 + 146273 = 146376

Showing the first eight; more decompositions exist.

Unicode codepoint
𣯈
CJK Unified Ideograph-23Bc8
U+23BC8
Other letter (Lo)

UTF-8 encoding: F0 A3 AF 88 (4 bytes).

Hex color
#023BC8
RGB(2, 59, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.200.

Address
0.2.59.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.200

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 146,376 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°.