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461,720

461,720 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.).

461,720 (four hundred sixty-one thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 17 × 97. Its proper divisors sum to 808,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70B98.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Pronic / Oblong Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
27,164
Square (n²)
213,185,358,400
Cube (n³)
98,431,943,680,448,000
Divisor count
64
σ(n) — sum of divisors
1,270,080
φ(n) — Euler's totient
147,456
Sum of prime factors
132

Primality

Prime factorization: 2 3 × 5 × 7 × 17 × 97

Nearest primes: 461,717 (−3) · 461,801 (+81)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 17 · 20 · 28 · 34 · 35 · 40 · 56 · 68 · 70 · 85 · 97 · 119 · 136 · 140 · 170 · 194 · 238 · 280 · 340 · 388 · 476 · 485 · 595 · 679 · 680 · 776 · 952 · 970 · 1190 · 1358 · 1649 · 1940 · 2380 · 2716 · 3298 · 3395 · 3880 · 4760 · 5432 · 6596 · 6790 · 8245 · 11543 · 13192 · 13580 · 16490 · 23086 · 27160 · 32980 · 46172 · 57715 · 65960 · 92344 · 115430 · 230860 (half) · 461720
Aliquot sum (sum of proper divisors): 808,360
Factor pairs (a × b = 461,720)
1 × 461720
2 × 230860
4 × 115430
5 × 92344
7 × 65960
8 × 57715
10 × 46172
14 × 32980
17 × 27160
20 × 23086
28 × 16490
34 × 13580
35 × 13192
40 × 11543
56 × 8245
68 × 6790
70 × 6596
85 × 5432
97 × 4760
119 × 3880
136 × 3395
140 × 3298
170 × 2716
194 × 2380
238 × 1940
280 × 1649
340 × 1358
388 × 1190
476 × 970
485 × 952
595 × 776
679 × 680
First multiples
461,720 · 923,440 (double) · 1,385,160 · 1,846,880 · 2,308,600 · 2,770,320 · 3,232,040 · 3,693,760 · 4,155,480 · 4,617,200

Sums & aliquot sequence

As consecutive integers: 92,342 + 92,343 + 92,344 + 92,345 + 92,346 65,957 + 65,958 + … + 65,963 28,850 + 28,851 + … + 28,865 27,152 + 27,153 + … + 27,168
Aliquot sequence: 461,720 → 808,360 → 1,271,000 → 1,873,960 → 2,726,840 → 3,408,640 → 4,759,184 → 5,004,700 → 5,855,716 → 4,473,372 → 6,033,124 → 4,524,850 → 5,162,030 → 4,160,530 → 4,107,950 → 5,589,346 → 3,992,414 — unresolved within range

Continued fraction of √n

√461,720 = [679; (2, 1358)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-one thousand seven hundred twenty
Ordinal
461720th
Binary
1110000101110011000
Octal
1605630
Hexadecimal
0x70B98
Base64
BwuY
One's complement
4,294,505,575 (32-bit)
Scientific notation
4.6172 × 10⁵
As a duration
461,720 s = 5 days, 8 hours, 15 minutes, 20 seconds
In other bases
ternary (3) 212110100202
quaternary (4) 1300232120
quinary (5) 104233340
senary (6) 13521332
septenary (7) 3632060
nonary (9) 773322
undecimal (11) 295996
duodecimal (12) 1a3248
tridecimal (13) 13220c
tetradecimal (14) c03a0
pentadecimal (15) 91c15

As an angle

461,720° = 1,282 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υξαψκʹ
Chinese
四十六萬一千七百二十
Chinese (financial)
肆拾陸萬壹仟柒佰貳拾
In other modern scripts
Eastern Arabic ٤٦١٧٢٠ Devanagari ४६१७२० Bengali ৪৬১৭২০ Tamil ௪௬௧௭௨௦ Thai ๔๖๑๗๒๐ Tibetan ༤༦༡༧༢༠ Khmer ៤៦១៧២០ Lao ໔໖໑໗໒໐ Burmese ၄၆၁၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461720, here are decompositions:

  • 3 + 461717 = 461720
  • 13 + 461707 = 461720
  • 31 + 461689 = 461720
  • 43 + 461677 = 461720
  • 67 + 461653 = 461720
  • 139 + 461581 = 461720
  • 151 + 461569 = 461720
  • 199 + 461521 = 461720

Showing the first eight; more decompositions exist.

Hex color
#070B98
RGB(7, 11, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.11.152.

Address
0.7.11.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.11.152

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 461,720 and was likely granted around 1891.

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

Position in π

The digit sequence 461720 first appears in π at position 293,510 of the decimal expansion (the 293,510ordinal-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°.