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1,002,456

1,002,456 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.).

1,002,456 (one million two thousand four hundred fifty-six) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2³ × 3⁴ × 7 × 13 × 17. Its proper divisors sum to 2,656,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BD8.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,542,001
Square (n²)
1,004,918,031,936
Cube (n³)
1,007,386,110,622,434,816
Divisor count
160
σ(n) — sum of divisors
3,659,040
φ(n) — Euler's totient
248,832
Sum of prime factors
55

Primality

Prime factorization: 2 3 × 3 4 × 7 × 13 × 17

Nearest primes: 1,002,451 (−5) · 1,002,457 (+1)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 17 · 18 · 21 · 24 · 26 · 27 · 28 · 34 · 36 · 39 · 42 · 51 · 52 · 54 · 56 · 63 · 68 · 72 · 78 · 81 · 84 · 91 · 102 · 104 · 108 · 117 · 119 · 126 · 136 · 153 · 156 · 162 · 168 · 182 · 189 · 204 · 216 · 221 · 234 · 238 · 252 · 273 · 306 · 312 · 324 · 351 · 357 · 364 · 378 · 408 · 442 · 459 · 468 · 476 · 504 · 546 · 567 · 612 · 648 · 663 · 702 · 714 · 728 · 756 · 819 · 884 · 918 · 936 · 952 · 1053 · 1071 · 1092 · 1134 · 1224 · 1326 · 1377 · 1404 · 1428 · 1512 · 1547 · 1638 · 1768 · 1836 · 1989 · 2106 · 2142 · 2184 · 2268 · 2457 · 2652 · 2754 · 2808 · 2856 · 3094 · 3213 · 3276 · 3672 · 3978 · 4212 · 4284 · 4536 · 4641 · 4914 · 5304 · 5508 · 5967 · 6188 · 6426 · 6552 · 7371 · 7956 · 8424 · 8568 · 9282 · 9639 · 9828 · 11016 · 11934 · 12376 · 12852 · 13923 · 14742 · 15912 · 17901 · 18564 · 19278 · 19656 · 23868 · 25704 · 27846 · 29484 · 35802 · 37128 · 38556 · 41769 · 47736 · 55692 · 58968 · 71604 · 77112 · 83538 · 111384 · 125307 · 143208 · 167076 · 250614 · 334152 · 501228 (half) · 1002456
Aliquot sum (sum of proper divisors): 2,656,584
Factor pairs (a × b = 1,002,456)
1 × 1002456
2 × 501228
3 × 334152
4 × 250614
6 × 167076
7 × 143208
8 × 125307
9 × 111384
12 × 83538
13 × 77112
14 × 71604
17 × 58968
18 × 55692
21 × 47736
24 × 41769
26 × 38556
27 × 37128
28 × 35802
34 × 29484
36 × 27846
39 × 25704
42 × 23868
51 × 19656
52 × 19278
54 × 18564
56 × 17901
63 × 15912
68 × 14742
72 × 13923
78 × 12852
81 × 12376
84 × 11934
91 × 11016
102 × 9828
104 × 9639
108 × 9282
117 × 8568
119 × 8424
126 × 7956
136 × 7371
153 × 6552
156 × 6426
162 × 6188
168 × 5967
182 × 5508
189 × 5304
204 × 4914
216 × 4641
221 × 4536
234 × 4284
238 × 4212
252 × 3978
273 × 3672
306 × 3276
312 × 3213
324 × 3094
351 × 2856
357 × 2808
364 × 2754
378 × 2652
408 × 2457
442 × 2268
459 × 2184
468 × 2142
476 × 2106
504 × 1989
546 × 1836
567 × 1768
612 × 1638
648 × 1547
663 × 1512
702 × 1428
714 × 1404
728 × 1377
756 × 1326
819 × 1224
884 × 1134
918 × 1092
936 × 1071
952 × 1053
First multiples
1,002,456 · 2,004,912 (double) · 3,007,368 · 4,009,824 · 5,012,280 · 6,014,736 · 7,017,192 · 8,019,648 · 9,022,104 · 10,024,560

Sums & aliquot sequence

As consecutive integers: 334,151 + 334,152 + 334,153 143,205 + 143,206 + … + 143,211 111,380 + 111,381 + … + 111,388 77,106 + 77,107 + … + 77,118
Aliquot sequence: 1,002,456 2,656,584 5,961,816 12,969,384 19,454,136 35,219,784 58,010,136 87,015,264 182,515,872 414,832,992 829,668,000 2,558,397,408 5,253,866,184 10,640,191,416 — keeps growing

Continued fraction of √n

√1,002,456 = [1001; (4, 2, 2, 79, 1, 2, 4, 1, 1, 1, 1, 1, 4, 2, 1, 79, 2, 2, 4, 2002)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million two thousand four hundred fifty-six
Ordinal
1002456th
Binary
11110100101111011000
Octal
3645730
Hexadecimal
0xF4BD8
Base64
D0vY
One's complement
4,293,964,839 (32-bit)
Scientific notation
1.002456 × 10⁶
As a duration
1,002,456 s = 11 days, 14 hours, 27 minutes, 36 seconds
In other bases
ternary (3) 1212221010000
quaternary (4) 3310233120
quinary (5) 224034311
senary (6) 33253000
septenary (7) 11343420
nonary (9) 1787100
undecimal (11) 625184
duodecimal (12) 404160
tridecimal (13) 291390
tetradecimal (14) 1c1480
pentadecimal (15) 14c056

As an angle

1,002,456° = 2,784 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬二千四百五十六
Chinese (financial)
壹佰萬貳仟肆佰伍拾陸
In other modern scripts
Eastern Arabic ١٠٠٢٤٥٦ Devanagari १००२४५६ Bengali ১০০২৪৫৬ Tamil ௧௦௦௨௪௫௬ Thai ๑๐๐๒๔๕๖ Tibetan ༡༠༠༢༤༥༦ Khmer ១០០២៤៥៦ Lao ໑໐໐໒໔໕໖ Burmese ၁၀၀၂၄၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002456, here are decompositions:

  • 5 + 1002451 = 1002456
  • 23 + 1002433 = 1002456
  • 29 + 1002427 = 1002456
  • 53 + 1002403 = 1002456
  • 79 + 1002377 = 1002456
  • 97 + 1002359 = 1002456
  • 107 + 1002349 = 1002456
  • 109 + 1002347 = 1002456

Showing the first eight; more decompositions exist.

Hex color
#0F4BD8
RGB(15, 75, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.216.

Address
0.15.75.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.75.216

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 1,002,456 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°.