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147,672

147,672 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.).

147,672 (one hundred forty-seven thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 7 × 293. Its proper divisors sum to 310,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x240D8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence 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
276,741
Recamán's sequence
a(213,072) = 147,672
Square (n²)
21,807,019,584
Cube (n³)
3,220,286,196,008,448
Divisor count
48
σ(n) — sum of divisors
458,640
φ(n) — Euler's totient
42,048
Sum of prime factors
312

Primality

Prime factorization: 2 3 × 3 2 × 7 × 293

Nearest primes: 147,671 (−1) · 147,673 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 56 · 63 · 72 · 84 · 126 · 168 · 252 · 293 · 504 · 586 · 879 · 1172 · 1758 · 2051 · 2344 · 2637 · 3516 · 4102 · 5274 · 6153 · 7032 · 8204 · 10548 · 12306 · 16408 · 18459 · 21096 · 24612 · 36918 · 49224 · 73836 (half) · 147672
Aliquot sum (sum of proper divisors): 310,968
Factor pairs (a × b = 147,672)
1 × 147672
2 × 73836
3 × 49224
4 × 36918
6 × 24612
7 × 21096
8 × 18459
9 × 16408
12 × 12306
14 × 10548
18 × 8204
21 × 7032
24 × 6153
28 × 5274
36 × 4102
42 × 3516
56 × 2637
63 × 2344
72 × 2051
84 × 1758
126 × 1172
168 × 879
252 × 586
293 × 504
First multiples
147,672 · 295,344 (double) · 443,016 · 590,688 · 738,360 · 886,032 · 1,033,704 · 1,181,376 · 1,329,048 · 1,476,720

Sums & aliquot sequence

As consecutive integers: 49,223 + 49,224 + 49,225 21,093 + 21,094 + … + 21,099 16,404 + 16,405 + … + 16,412 9,222 + 9,223 + … + 9,237
Aliquot sequence: 147,672 310,968 653,112 1,162,728 2,533,272 5,139,048 7,777,752 11,666,688 22,231,008 40,989,240 97,192,440 237,348,360 553,816,440 1,328,442,120 3,153,098,340 8,151,383,772 15,397,058,964 — keeps growing

Continued fraction of √n

√147,672 = [384; (3, 1, 1, 3, 1, 8, 1, 2, 2, 2, 2, 3, 1, 3, 4, 1, 3, 1, 3, 1, 4, 3, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand six hundred seventy-two
Ordinal
147672nd
Binary
100100000011011000
Octal
440330
Hexadecimal
0x240D8
Base64
AkDY
One's complement
4,294,819,623 (32-bit)
Scientific notation
1.47672 × 10⁵
As a duration
147,672 s = 1 day, 17 hours, 1 minute, 12 seconds
In other bases
ternary (3) 21111120100
quaternary (4) 210003120
quinary (5) 14211142
senary (6) 3055400
septenary (7) 1153350
nonary (9) 244510
undecimal (11) a0a48
duodecimal (12) 71560
tridecimal (13) 522a5
tetradecimal (14) 3bb60
pentadecimal (15) 2db4c

As an angle

147,672° = 410 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμζχοβʹ
Mayan (base 20)
𝋲·𝋩·𝋣·𝋬
Chinese
一十四萬七千六百七十二
Chinese (financial)
壹拾肆萬柒仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٧٦٧٢ Devanagari १४७६७२ Bengali ১৪৭৬৭২ Tamil ௧௪௭௬௭௨ Thai ๑๔๗๖๗๒ Tibetan ༡༤༧༦༧༢ Khmer ១៤៧៦៧២ Lao ໑໔໗໖໗໒ Burmese ၁၄၇၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147672, here are decompositions:

  • 11 + 147661 = 147672
  • 43 + 147629 = 147672
  • 59 + 147613 = 147672
  • 89 + 147583 = 147672
  • 101 + 147571 = 147672
  • 131 + 147541 = 147672
  • 191 + 147481 = 147672
  • 223 + 147449 = 147672

Showing the first eight; more decompositions exist.

Unicode codepoint
𤃘
CJK Unified Ideograph-240D8
U+240D8
Other letter (Lo)

UTF-8 encoding: F0 A4 83 98 (4 bytes).

Hex color
#0240D8
RGB(2, 64, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.64.216.

Address
0.2.64.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.64.216

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 147,672 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 147672 first appears in π at position 535,116 of the decimal expansion (the 535,116ordinal-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°.