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1,007,472

1,007,472 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.).

1,007,472 (one million seven thousand four hundred seventy-two) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 139 × 151. Its proper divisors sum to 1,631,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5F70.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
2,747,001
Recamán's sequence
a(350,507) = 1,007,472
Square (n²)
1,014,999,830,784
Cube (n³)
1,022,583,909,519,618,048
Divisor count
40
σ(n) — sum of divisors
2,638,720
φ(n) — Euler's totient
331,200
Sum of prime factors
301

Primality

Prime factorization: 2 4 × 3 × 139 × 151

Nearest primes: 1,007,467 (−5) · 1,007,483 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 139 · 151 · 278 · 302 · 417 · 453 · 556 · 604 · 834 · 906 · 1112 · 1208 · 1668 · 1812 · 2224 · 2416 · 3336 · 3624 · 6672 · 7248 · 20989 · 41978 · 62967 · 83956 · 125934 · 167912 · 251868 · 335824 · 503736 (half) · 1007472
Aliquot sum (sum of proper divisors): 1,631,248
Factor pairs (a × b = 1,007,472)
1 × 1007472
2 × 503736
3 × 335824
4 × 251868
6 × 167912
8 × 125934
12 × 83956
16 × 62967
24 × 41978
48 × 20989
139 × 7248
151 × 6672
278 × 3624
302 × 3336
417 × 2416
453 × 2224
556 × 1812
604 × 1668
834 × 1208
906 × 1112
First multiples
1,007,472 · 2,014,944 (double) · 3,022,416 · 4,029,888 · 5,037,360 · 6,044,832 · 7,052,304 · 8,059,776 · 9,067,248 · 10,074,720

Sums & aliquot sequence

As consecutive integers: 335,823 + 335,824 + 335,825 31,468 + 31,469 + … + 31,499 10,447 + 10,448 + … + 10,542 7,179 + 7,180 + … + 7,317
Aliquot sequence: 1,007,472 1,631,248 1,604,160 3,923,388 7,411,572 14,000,364 27,834,660 68,663,196 135,594,676 136,003,084 136,003,140 423,170,748 1,013,167,428 2,067,651,516 4,274,594,884 4,480,489,916 4,480,489,972 — unresolved within range

Continued fraction of √n

√1,007,472 = [1003; (1, 2, 1, 2, 4, 3, 2, 2, 41, 2, 2, 3, 4, 2, 1, 2, 1, 2006)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand four hundred seventy-two
Ordinal
1007472nd
Binary
11110101111101110000
Octal
3657560
Hexadecimal
0xF5F70
Base64
D19w
One's complement
4,293,959,823 (32-bit)
Scientific notation
1.007472 × 10⁶
As a duration
1,007,472 s = 11 days, 15 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 1220011222210
quaternary (4) 3311331300
quinary (5) 224214342
senary (6) 33332120
septenary (7) 11364144
nonary (9) 1804883
undecimal (11) 628a24
duodecimal (12) 407040
tridecimal (13) 29374b
tetradecimal (14) 1c3224
pentadecimal (15) 14d79c

As an angle

1,007,472° = 2,798 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬七千四百七十二
Chinese (financial)
壹佰萬柒仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٠٧٤٧٢ Devanagari १००७४७२ Bengali ১০০৭৪৭২ Tamil ௧௦௦௭௪௭௨ Thai ๑๐๐๗๔๗๒ Tibetan ༡༠༠༧༤༧༢ Khmer ១០០៧៤៧២ Lao ໑໐໐໗໔໗໒ Burmese ၁၀၀၇၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007472, here are decompositions:

  • 5 + 1007467 = 1007472
  • 13 + 1007459 = 1007472
  • 31 + 1007441 = 1007472
  • 43 + 1007429 = 1007472
  • 71 + 1007401 = 1007472
  • 113 + 1007359 = 1007472
  • 163 + 1007309 = 1007472
  • 173 + 1007299 = 1007472

Showing the first eight; more decompositions exist.

Hex color
#0F5F70
RGB(15, 95, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.112.

Address
0.15.95.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.95.112

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 1,007,472 and was likely granted around 1911.

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°.