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146,472

146,472 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.).

146,472 (one hundred forty-six thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 17 × 359. Its proper divisors sum to 242,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23C28.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,344
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
274,641
Recamán's sequence
a(215,472) = 146,472
Square (n²)
21,454,046,784
Cube (n³)
3,142,417,140,546,048
Divisor count
32
σ(n) — sum of divisors
388,800
φ(n) — Euler's totient
45,824
Sum of prime factors
385

Primality

Prime factorization: 2 3 × 3 × 17 × 359

Nearest primes: 146,449 (−23) · 146,477 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 17 · 24 · 34 · 51 · 68 · 102 · 136 · 204 · 359 · 408 · 718 · 1077 · 1436 · 2154 · 2872 · 4308 · 6103 · 8616 · 12206 · 18309 · 24412 · 36618 · 48824 · 73236 (half) · 146472
Aliquot sum (sum of proper divisors): 242,328
Factor pairs (a × b = 146,472)
1 × 146472
2 × 73236
3 × 48824
4 × 36618
6 × 24412
8 × 18309
12 × 12206
17 × 8616
24 × 6103
34 × 4308
51 × 2872
68 × 2154
102 × 1436
136 × 1077
204 × 718
359 × 408
First multiples
146,472 · 292,944 (double) · 439,416 · 585,888 · 732,360 · 878,832 · 1,025,304 · 1,171,776 · 1,318,248 · 1,464,720

Sums & aliquot sequence

As consecutive integers: 48,823 + 48,824 + 48,825 9,147 + 9,148 + … + 9,162 8,608 + 8,609 + … + 8,624 3,028 + 3,029 + … + 3,075
Aliquot sequence: 146,472 242,328 391,272 801,048 1,201,632 1,952,904 2,929,416 5,935,224 8,902,896 14,096,376 30,658,824 67,973,496 104,116,104 205,334,136 451,881,864 1,020,446,136 1,743,262,344 — unresolved within range

Continued fraction of √n

√146,472 = [382; (1, 2, 1, 1, 8, 4, 2, 2, 2, 1, 3, 1, 5, 1, 1, 1, 4, 2, 1, 1, 2, 3, 7, 15, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand four hundred seventy-two
Ordinal
146472nd
Binary
100011110000101000
Octal
436050
Hexadecimal
0x23C28
Base64
Ajwo
One's complement
4,294,820,823 (32-bit)
Scientific notation
1.46472 × 10⁵
As a duration
146,472 s = 1 day, 16 hours, 41 minutes, 12 seconds
In other bases
ternary (3) 21102220220
quaternary (4) 203300220
quinary (5) 14141342
senary (6) 3050040
septenary (7) 1150014
nonary (9) 242826
undecimal (11) a0057
duodecimal (12) 70920
tridecimal (13) 51891
tetradecimal (14) 3b544
pentadecimal (15) 2d5ec

As an angle

146,472° = 406 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμϛυοβʹ
Mayan (base 20)
𝋲·𝋦·𝋣·𝋬
Chinese
一十四萬六千四百七十二
Chinese (financial)
壹拾肆萬陸仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٦٤٧٢ Devanagari १४६४७२ Bengali ১৪৬৪৭২ Tamil ௧௪௬௪௭௨ Thai ๑๔๖๔๗๒ Tibetan ༡༤༦༤༧༢ Khmer ១៤៦៤៧២ Lao ໑໔໖໔໗໒ Burmese ၁၄၆၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146472, here are decompositions:

  • 23 + 146449 = 146472
  • 83 + 146389 = 146472
  • 89 + 146383 = 146472
  • 103 + 146369 = 146472
  • 113 + 146359 = 146472
  • 149 + 146323 = 146472
  • 163 + 146309 = 146472
  • 173 + 146299 = 146472

Showing the first eight; more decompositions exist.

Unicode codepoint
𣰨
CJK Unified Ideograph-23C28
U+23C28
Other letter (Lo)

UTF-8 encoding: F0 A3 B0 A8 (4 bytes).

Hex color
#023C28
RGB(2, 60, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.40.

Address
0.2.60.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.40

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 146,472 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 146472 first appears in π at position 21,988 of the decimal expansion (the 21,988ordinal-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°.