Live analysis

1,001,148

1,001,148 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.).

1,001,148 (one million one thousand one hundred forty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 19 × 4,391. Its proper divisors sum to 1,458,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF46BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,136 1,001,137 1,001,138 1,001,139 1,001,140 1,001,141 1,001,142 1,001,143 1,001,144 1,001,145 1,001,146 1,001,147 1,001,148 1,001,149 1,001,150 1,001,151 1,001,152 1,001,153 1,001,154 1,001,155 1,001,156 1,001,157 1,001,158 1,001,159 1,001,160

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,411,001
Square (n²): 1,002,297,317,904
Cube (n³): 1,003,447,955,224,953,792
Divisor count: 24
σ(n) — sum of divisors: 2,459,520
φ(n) — Euler's totient: 316,080
Sum of prime factors: 4,417

Primality

Prime factorization: 2 ² × 3 × 19 × 4391

Nearest primes: 1,001,123 (−25) · 1,001,153 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 57 · 76 · 114 · 228 · 4391 · 8782 · 13173 · 17564 · 26346 · 52692 · 83429 · 166858 · 250287 · 333716 · 500574 (half) · 1001148

Aliquot sum (sum of proper divisors): 1,458,372

Factor pairs (a × b = 1,001,148)

1 × 1001148

2 × 500574

3 × 333716

4 × 250287

6 × 166858

12 × 83429

19 × 52692

38 × 26346

57 × 17564

76 × 13173

114 × 8782

228 × 4391

First multiples

1,001,148 · 2,002,296 (double) · 3,003,444 · 4,004,592 · 5,005,740 · 6,006,888 · 7,008,036 · 8,009,184 · 9,010,332 · 10,011,480

Sums & aliquot sequence

As consecutive integers: 333,715 + 333,716 + 333,717 125,140 + 125,141 + … + 125,147 52,683 + 52,684 + … + 52,701 41,703 + 41,704 + … + 41,726

Aliquot sequence: 1,001,148 → 1,458,372 → 1,944,524 → 1,499,980 → 1,736,708 → 1,312,072 → 1,160,228 → 870,178 → 440,222 → 226,834 → 113,420 → 131,524 → 101,324 → 78,940 → 86,876 → 69,532 → 52,156 — unresolved within range

Continued fraction of √n

√1,001,148 = [1000; (1, 1, 2, 1, 7, 1, 3, 3, 1, 7, 6, 1, 11, 8, 8, 1, 1, 5, 1, 6, 2, 1, 1, 1, …)]

Representations

In words: one million one thousand one hundred forty-eight
Ordinal: 1001148th
Binary: 11110100011010111100
Octal: 3643274
Hexadecimal: 0xF46BC
Base64: D0a8
One's complement: 4,293,966,147 (32-bit)
Scientific notation: 1.001148 × 10⁶
As a duration: 1,001,148 s = 11 days, 14 hours, 5 minutes, 48 seconds

In other bases

ternary (3) 1212212022120

quaternary (4) 3310122330

quinary (5) 224014043

senary (6) 33242540

septenary (7) 11336541

nonary (9) 1785276

undecimal (11) 6241a5

duodecimal (12) 403450

tridecimal (13) 2908c5

tetradecimal (14) 1c0bc8

pentadecimal (15) 14b983

As an angle

1,001,148° = 2,780 × 360° + 348°

348° ≈ 6.074 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百四十八
Chinese (financial): 壹佰萬壹仟壹佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠١١٤٨ Devanagari १००११४८ Bengali ১০০১১৪৮ Tamil ௧௦௦௧௧௪௮ Thai ๑๐๐๑๑๔๘ Tibetan ༡༠༠༡༡༤༨ Khmer ១០០១១៤៨ Lao ໑໐໐໑໑໔໘ Burmese ၁၀၀၁၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001148, here are decompositions:

41 + 1001107 = 1001148
59 + 1001089 = 1001148
61 + 1001087 = 1001148
67 + 1001081 = 1001148
79 + 1001069 = 1001148
107 + 1001041 = 1001148
131 + 1001017 = 1001148
149 + 1000999 = 1001148

Showing the first eight; more decompositions exist.

Hex color

#0F46BC

RGB(15, 70, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.188.

Address: 0.15.70.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.188

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 1,001,148 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 US1,001,148 on Google Patents ↗ Look up on USPTO ↗