Live analysis

1,004,632

1,004,632 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.).

1,004,632 (one million four thousand six hundred thirty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 83 × 89. Its proper divisors sum to 1,036,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5458.

Abundant Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,004,620 1,004,621 1,004,622 1,004,623 1,004,624 1,004,625 1,004,626 1,004,627 1,004,628 1,004,629 1,004,630 1,004,631 1,004,632 1,004,633 1,004,634 1,004,635 1,004,636 1,004,637 1,004,638 1,004,639 1,004,640 1,004,641 1,004,642 1,004,643 1,004,644

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 2,364,001
Square (n²): 1,009,285,455,424
Cube (n³): 1,013,960,465,653,523,968
Divisor count: 32
σ(n) — sum of divisors: 2,041,200
φ(n) — Euler's totient: 461,824
Sum of prime factors: 195

Primality

Prime factorization: 2 ³ × 17 × 83 × 89

Nearest primes: 1,004,599 (−33) · 1,004,651 (+19)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 17 · 34 · 68 · 83 · 89 · 136 · 166 · 178 · 332 · 356 · 664 · 712 · 1411 · 1513 · 2822 · 3026 · 5644 · 6052 · 7387 · 11288 · 12104 · 14774 · 29548 · 59096 · 125579 · 251158 · 502316 (half) · 1004632

Aliquot sum (sum of proper divisors): 1,036,568

Factor pairs (a × b = 1,004,632)

1 × 1004632

2 × 502316

4 × 251158

8 × 125579

17 × 59096

34 × 29548

68 × 14774

83 × 12104

89 × 11288

136 × 7387

166 × 6052

178 × 5644

332 × 3026

356 × 2822

664 × 1513

712 × 1411

First multiples

1,004,632 · 2,009,264 (double) · 3,013,896 · 4,018,528 · 5,023,160 · 6,027,792 · 7,032,424 · 8,037,056 · 9,041,688 · 10,046,320

Sums & aliquot sequence

As consecutive integers: 62,782 + 62,783 + … + 62,797 59,088 + 59,089 + … + 59,104 12,063 + 12,064 + … + 12,145 11,244 + 11,245 + … + 11,332

Aliquot sequence: 1,004,632 → 1,036,568 → 1,056,712 → 1,011,128 → 905,752 → 832,688 → 805,600 → 1,303,640 → 2,022,760 → 2,608,640 → 3,652,120 → 4,565,240 → 5,880,520 → 7,478,000 → 10,608,640 → 19,273,952 → 18,671,704 — unresolved within range

Continued fraction of √n

√1,004,632 = [1002; (3, 5, 4, 1, 1, 4, 2, 1, 6, 1, 13, 1, 6, 1, 2, 4, 1, 1, 4, 5, 3, 2004)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million four thousand six hundred thirty-two
Ordinal: 1004632nd
Binary: 11110101010001011000
Octal: 3652130
Hexadecimal: 0xF5458
Base64: D1RY
One's complement: 4,293,962,663 (32-bit)
Scientific notation: 1.004632 × 10⁶
As a duration: 1,004,632 s = 11 days, 15 hours, 3 minutes, 52 seconds

In other bases

ternary (3) 1220001002121

quaternary (4) 3311101120

quinary (5) 224122012

senary (6) 33311024

septenary (7) 11352646

nonary (9) 1801077

undecimal (11) 626882

duodecimal (12) 405474

tridecimal (13) 292375

tetradecimal (14) 1c2196

pentadecimal (15) 14ca07

As an angle

1,004,632° = 2,790 × 360° + 232°

232° ≈ 4.049 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬四千六百三十二
Chinese (financial): 壹佰萬肆仟陸佰參拾貳

In other modern scripts

Eastern Arabic ١٠٠٤٦٣٢ Devanagari १००४६३२ Bengali ১০০৪৬৩২ Tamil ௧௦௦௪௬௩௨ Thai ๑๐๐๔๖๓๒ Tibetan ༡༠༠༤༦༣༢ Khmer ១០០៤៦៣២ Lao ໑໐໐໔໖໓໒ Burmese ၁၀၀၄၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004632, here are decompositions:

71 + 1004561 = 1004632
131 + 1004501 = 1004632
149 + 1004483 = 1004632
179 + 1004453 = 1004632
191 + 1004441 = 1004632
269 + 1004363 = 1004632
353 + 1004279 = 1004632
359 + 1004273 = 1004632

Showing the first eight; more decompositions exist.

Hex color

#0F5458

RGB(15, 84, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.84.88.

Address: 0.15.84.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.84.88

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 1,004,632 and was likely granted around 1911.

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

Look up US1,004,632 on Google Patents ↗ Look up on USPTO ↗