Live analysis

1,001,312

1,001,312 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.).

1,001,312 (one million one thousand three hundred twelve) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 13 × 29 × 83. Its proper divisors sum to 1,221,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4760.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,300 1,001,301 1,001,302 1,001,303 1,001,304 1,001,305 1,001,306 1,001,307 1,001,308 1,001,309 1,001,310 1,001,311 1,001,312 1,001,313 1,001,314 1,001,315 1,001,316 1,001,317 1,001,318 1,001,319 1,001,320 1,001,321 1,001,322 1,001,323 1,001,324

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,131,001
Square (n²): 1,002,625,721,344
Cube (n³): 1,003,941,166,290,403,328
Divisor count: 48
σ(n) — sum of divisors: 2,222,640
φ(n) — Euler's totient: 440,832
Sum of prime factors: 135

Primality

Prime factorization: 2 ⁵ × 13 × 29 × 83

Nearest primes: 1,001,311 (−1) · 1,001,321 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 29 · 32 · 52 · 58 · 83 · 104 · 116 · 166 · 208 · 232 · 332 · 377 · 416 · 464 · 664 · 754 · 928 · 1079 · 1328 · 1508 · 2158 · 2407 · 2656 · 3016 · 4316 · 4814 · 6032 · 8632 · 9628 · 12064 · 17264 · 19256 · 31291 · 34528 · 38512 · 62582 · 77024 · 125164 · 250328 · 500656 (half) · 1001312

Aliquot sum (sum of proper divisors): 1,221,328

Factor pairs (a × b = 1,001,312)

1 × 1001312

2 × 500656

4 × 250328

8 × 125164

13 × 77024

16 × 62582

26 × 38512

29 × 34528

32 × 31291

52 × 19256

58 × 17264

83 × 12064

104 × 9628

116 × 8632

166 × 6032

208 × 4814

232 × 4316

332 × 3016

377 × 2656

416 × 2407

464 × 2158

664 × 1508

754 × 1328

928 × 1079

First multiples

1,001,312 · 2,002,624 (double) · 3,003,936 · 4,005,248 · 5,006,560 · 6,007,872 · 7,009,184 · 8,010,496 · 9,011,808 · 10,013,120

Sums & aliquot sequence

As consecutive integers: 77,018 + 77,019 + … + 77,030 34,514 + 34,515 + … + 34,542 15,614 + 15,615 + … + 15,677 12,023 + 12,024 + … + 12,105

Aliquot sequence: 1,001,312 → 1,221,328 → 1,145,026 → 594,494 → 297,250 → 292,430 → 233,962 → 116,984 → 133,816 → 123,584 → 121,780 → 134,000 → 194,848 → 188,822 → 109,378 → 64,394 → 41,014 — unresolved within range

Continued fraction of √n

√1,001,312 = [1000; (1, 1, 1, 9, 1, 1, 5, 6, 4, 1, 2, 3, 2, 16, 9, 1, 1, 3, 1, 1, 1, 1, 3, 1, …)]

Representations

In words: one million one thousand three hundred twelve
Ordinal: 1001312th
Binary: 11110100011101100000
Octal: 3643540
Hexadecimal: 0xF4760
Base64: D0dg
One's complement: 4,293,965,983 (32-bit)
Scientific notation: 1.001312 × 10⁶
As a duration: 1,001,312 s = 11 days, 14 hours, 8 minutes, 32 seconds

In other bases

ternary (3) 1212212112122

quaternary (4) 3310131200

quinary (5) 224020222

senary (6) 33243412

septenary (7) 11340164

nonary (9) 1785478

undecimal (11) 624334

duodecimal (12) 403568

tridecimal (13) 2909c0

tetradecimal (14) 1c0ca4

pentadecimal (15) 14ba42

As an angle

1,001,312° = 2,781 × 360° + 152°

152° ≈ 2.653 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓏺𓏺
Chinese: 一百萬一千三百一十二
Chinese (financial): 壹佰萬壹仟參佰壹拾貳

In other modern scripts

Eastern Arabic ١٠٠١٣١٢ Devanagari १००१३१२ Bengali ১০০১৩১২ Tamil ௧௦௦௧௩௧௨ Thai ๑๐๐๑๓๑๒ Tibetan ༡༠༠༡༣༡༢ Khmer ១០០១៣១២ Lao ໑໐໐໑໓໑໒ Burmese ၁၀၀၁၃၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001312, here are decompositions:

139 + 1001173 = 1001312
223 + 1001089 = 1001312
271 + 1001041 = 1001312
313 + 1000999 = 1001312
331 + 1000981 = 1001312
463 + 1000849 = 1001312
643 + 1000669 = 1001312
661 + 1000651 = 1001312

Showing the first eight; more decompositions exist.

Hex color

#0F4760

RGB(15, 71, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.96.

Address: 0.15.71.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.96

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 1,001,312 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 US1,001,312 on Google Patents ↗ Look up on USPTO ↗