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1,000,152

1,000,152 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.).
Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,510,001
Square (n²)
1,000,304,023,104
Cube (n³)
1,000,456,069,315,511,808
Divisor count
48
σ(n) — sum of divisors
2,808,000
φ(n) — Euler's totient
321,216
Sum of prime factors
520

Primality

Prime factorization: 2 3 × 3 2 × 29 × 479

Nearest primes: 1,000,151 (−1) · 1,000,159 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 29 · 36 · 58 · 72 · 87 · 116 · 174 · 232 · 261 · 348 · 479 · 522 · 696 · 958 · 1044 · 1437 · 1916 · 2088 · 2874 · 3832 · 4311 · 5748 · 8622 · 11496 · 13891 · 17244 · 27782 · 34488 · 41673 · 55564 · 83346 · 111128 · 125019 · 166692 · 250038 · 333384 · 500076 (half) · 1000152
Aliquot sum (sum of proper divisors): 1,807,848
Factor pairs (a × b = 1,000,152)
1 × 1000152
2 × 500076
3 × 333384
4 × 250038
6 × 166692
8 × 125019
9 × 111128
12 × 83346
18 × 55564
24 × 41673
29 × 34488
36 × 27782
58 × 17244
72 × 13891
87 × 11496
116 × 8622
174 × 5748
232 × 4311
261 × 3832
348 × 2874
479 × 2088
522 × 1916
696 × 1437
958 × 1044
First multiples
1,000,152 · 2,000,304 (double) · 3,000,456 · 4,000,608 · 5,000,760 · 6,000,912 · 7,001,064 · 8,001,216 · 9,001,368 · 10,001,520

Sums & aliquot sequence

As consecutive integers: 333,383 + 333,384 + 333,385 111,124 + 111,125 + … + 111,132 62,502 + 62,503 + … + 62,517 34,474 + 34,475 + … + 34,502
Aliquot sequence: 1,000,152 1,807,848 4,145,112 7,081,428 9,441,932 7,081,456 6,775,296 12,964,512 24,164,160 52,560,096 85,410,408 138,538,392 207,807,648 350,384,448 576,674,912 663,893,872 622,400,536 — unresolved within range

Continued fraction of √n

√1,000,152 = [1000; (13, 6, 3, 5, 4, 2, 4, 1, 3, 2, 5, 2, 1, 2, 5, 2, 3, 1, 4, 2, 4, 5, 3, 6, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million one hundred fifty-two
Ordinal
1000152nd
Binary
11110100001011011000
Octal
3641330
Hexadecimal
0xF42D8
Base64
D0LY
One's complement
4,293,967,143 (32-bit)
Scientific notation
1.000152 × 10⁶
As a duration
1,000,152 s = 11 days, 13 hours, 49 minutes, 12 seconds
In other bases
ternary (3) 1212210221200
quaternary (4) 3310023120
quinary (5) 224001102
senary (6) 33234200
septenary (7) 11333616
nonary (9) 1783850
undecimal (11) 62347a
duodecimal (12) 402960
tridecimal (13) 29030a
tetradecimal (14) 1c06b6
pentadecimal (15) 14b51c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬零一百五十二
Chinese (financial)
壹佰萬零壹佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٠٠١٥٢ Devanagari १०००१५२ Bengali ১০০০১৫২ Tamil ௧௦௦௦௧௫௨ Thai ๑๐๐๐๑๕๒ Tibetan ༡༠༠༠༡༥༢ Khmer ១០០០១៥២ Lao ໑໐໐໐໑໕໒ Burmese ၁၀၀၀၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000152, here are decompositions:

  • 19 + 1000133 = 1000152
  • 31 + 1000121 = 1000152
  • 53 + 1000099 = 1000152
  • 71 + 1000081 = 1000152
  • 113 + 1000039 = 1000152
  • 149 + 1000003 = 1000152
  • 173 + 999979 = 1000152
  • 191 + 999961 = 1000152

Showing the first eight; more decompositions exist.

Hex color
#0F42D8
RGB(15, 66, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.216.

Address
0.15.66.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.66.216

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 1,000,152 and was likely granted around 1911.

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

Position in π

The digit sequence 1000152 first appears in π at position 604,965 of the decimal expansion (the 604,965ordinal-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.