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146,772

146,772 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.).

146,772 (one hundred forty-six thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 151. Its proper divisors sum to 240,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23D54.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,352
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
277,641
Recamán's sequence
a(214,872) = 146,772
Square (n²)
21,542,019,984
Cube (n³)
3,161,765,357,091,648
Divisor count
36
σ(n) — sum of divisors
387,296
φ(n) — Euler's totient
48,600
Sum of prime factors
170

Primality

Prime factorization: 2 2 × 3 5 × 151

Nearest primes: 146,767 (−5) · 146,777 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 151 · 162 · 243 · 302 · 324 · 453 · 486 · 604 · 906 · 972 · 1359 · 1812 · 2718 · 4077 · 5436 · 8154 · 12231 · 16308 · 24462 · 36693 · 48924 · 73386 (half) · 146772
Aliquot sum (sum of proper divisors): 240,524
Factor pairs (a × b = 146,772)
1 × 146772
2 × 73386
3 × 48924
4 × 36693
6 × 24462
9 × 16308
12 × 12231
18 × 8154
27 × 5436
36 × 4077
54 × 2718
81 × 1812
108 × 1359
151 × 972
162 × 906
243 × 604
302 × 486
324 × 453
First multiples
146,772 · 293,544 (double) · 440,316 · 587,088 · 733,860 · 880,632 · 1,027,404 · 1,174,176 · 1,320,948 · 1,467,720

Sums & aliquot sequence

As consecutive integers: 48,923 + 48,924 + 48,925 18,343 + 18,344 + … + 18,350 16,304 + 16,305 + … + 16,312 6,104 + 6,105 + … + 6,127
Aliquot sequence: 146,772 240,524 184,180 202,640 299,560 374,540 427,492 378,264 567,456 992,928 1,613,760 3,637,944 6,215,016 9,322,584 14,316,456 31,394,904 47,092,416 — unresolved within range

Continued fraction of √n

√146,772 = [383; (9, 4, 2, 1, 10, 9, 1, 84, 4, 3, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 4, 84, 1, 9, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand seven hundred seventy-two
Ordinal
146772nd
Binary
100011110101010100
Octal
436524
Hexadecimal
0x23D54
Base64
Aj1U
One's complement
4,294,820,523 (32-bit)
Scientific notation
1.46772 × 10⁵
As a duration
146,772 s = 1 day, 16 hours, 46 minutes, 12 seconds
In other bases
ternary (3) 21110100000
quaternary (4) 203311110
quinary (5) 14144042
senary (6) 3051300
septenary (7) 1150623
nonary (9) 243300
undecimal (11) a02aa
duodecimal (12) 70b30
tridecimal (13) 51a62
tetradecimal (14) 3b6ba
pentadecimal (15) 2d74c

As an angle

146,772° = 407 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμϛψοβʹ
Mayan (base 20)
𝋲·𝋦·𝋲·𝋬
Chinese
一十四萬六千七百七十二
Chinese (financial)
壹拾肆萬陸仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٦٧٧٢ Devanagari १४६७७२ Bengali ১৪৬৭৭২ Tamil ௧௪௬௭௭௨ Thai ๑๔๖๗๗๒ Tibetan ༡༤༦༧༧༢ Khmer ១៤៦៧៧២ Lao ໑໔໖໗໗໒ Burmese ၁၄၆၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146772, here are decompositions:

  • 5 + 146767 = 146772
  • 23 + 146749 = 146772
  • 29 + 146743 = 146772
  • 53 + 146719 = 146772
  • 71 + 146701 = 146772
  • 89 + 146683 = 146772
  • 103 + 146669 = 146772
  • 163 + 146609 = 146772

Showing the first eight; more decompositions exist.

Unicode codepoint
𣵔
CJK Unified Ideograph-23D54
U+23D54
Other letter (Lo)

UTF-8 encoding: F0 A3 B5 94 (4 bytes).

Hex color
#023D54
RGB(2, 61, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.84.

Address
0.2.61.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.84

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 146,772 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°.