Live analysis

1,041,624

1,041,624 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.).

1,041,624 (one million forty-one thousand six hundred twenty-four) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 17 × 23 × 37. Its proper divisors sum to 2,159,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE4D8.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,041,612 1,041,613 1,041,614 1,041,615 1,041,616 1,041,617 1,041,618 1,041,619 1,041,620 1,041,621 1,041,622 1,041,623 1,041,624 1,041,625 1,041,626 1,041,627 1,041,628 1,041,629 1,041,630 1,041,631 1,041,632 1,041,633 1,041,634 1,041,635 1,041,636

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,261,401
Square (n²): 1,084,980,557,376
Cube (n³): 1,130,141,788,096,218,624
Divisor count: 96
σ(n) — sum of divisors: 3,201,120
φ(n) — Euler's totient: 304,128
Sum of prime factors: 89

Primality

Prime factorization: 2 ³ × 3 ² × 17 × 23 × 37

Nearest primes: 1,041,619 (−5) · 1,041,643 (+19)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 17 · 18 · 23 · 24 · 34 · 36 · 37 · 46 · 51 · 68 · 69 · 72 · 74 · 92 · 102 · 111 · 136 · 138 · 148 · 153 · 184 · 204 · 207 · 222 · 276 · 296 · 306 · 333 · 391 · 408 · 414 · 444 · 552 · 612 · 629 · 666 · 782 · 828 · 851 · 888 · 1173 · 1224 · 1258 · 1332 · 1564 · 1656 · 1702 · 1887 · 2346 · 2516 · 2553 · 2664 · 3128 · 3404 · 3519 · 3774 · 4692 · 5032 · 5106 · 5661 · 6808 · 7038 · 7548 · 7659 · 9384 · 10212 · 11322 · 14076 · 14467 · 15096 · 15318 · 20424 · 22644 · 28152 · 28934 · 30636 · 43401 · 45288 · 57868 · 61272 · 86802 · 115736 · 130203 · 173604 · 260406 · 347208 · 520812 (half) · 1041624

Aliquot sum (sum of proper divisors): 2,159,496

Factor pairs (a × b = 1,041,624)

1 × 1041624

2 × 520812

3 × 347208

4 × 260406

6 × 173604

8 × 130203

9 × 115736

12 × 86802

17 × 61272

18 × 57868

23 × 45288

24 × 43401

34 × 30636

36 × 28934

37 × 28152

46 × 22644

51 × 20424

68 × 15318

69 × 15096

72 × 14467

74 × 14076

92 × 11322

102 × 10212

111 × 9384

136 × 7659

138 × 7548

148 × 7038

153 × 6808

184 × 5661

204 × 5106

207 × 5032

222 × 4692

276 × 3774

296 × 3519

306 × 3404

333 × 3128

391 × 2664

408 × 2553

414 × 2516

444 × 2346

552 × 1887

612 × 1702

629 × 1656

666 × 1564

782 × 1332

828 × 1258

851 × 1224

888 × 1173

First multiples

1,041,624 · 2,083,248 (double) · 3,124,872 · 4,166,496 · 5,208,120 · 6,249,744 · 7,291,368 · 8,332,992 · 9,374,616 · 10,416,240

Sums & aliquot sequence

As consecutive integers: 347,207 + 347,208 + 347,209 115,732 + 115,733 + … + 115,740 65,094 + 65,095 + … + 65,109 61,264 + 61,265 + … + 61,280

Aliquot sequence: 1,041,624 → 2,159,496 → 3,772,404 → 5,763,486 → 5,763,498 → 7,306,902 → 9,281,898 → 12,560,022 → 17,688,042 → 21,873,558 → 28,468,842 → 29,858,070 → 48,917,994 → 49,240,374 → 49,240,386 → 71,263,998 → 99,533,538 — unresolved within range

Continued fraction of √n

√1,041,624 = [1020; (1, 1, 2, 226, 2, 1, 1, 2040)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million forty-one thousand six hundred twenty-four
Ordinal: 1041624th
Binary: 11111110010011011000
Octal: 3762330
Hexadecimal: 0xFE4D8
Base64: D+TY
One's complement: 4,293,925,671 (32-bit)
Scientific notation: 1.041624 × 10⁶
As a duration: 1,041,624 s = 12 days, 1 hour, 20 minutes, 24 seconds

In other bases

ternary (3) 1221220211200

quaternary (4) 3332103120

quinary (5) 231312444

senary (6) 34154200

septenary (7) 11565543

nonary (9) 1856750

undecimal (11) 651651

duodecimal (12) 422960

tridecimal (13) 2a615c

tetradecimal (14) 1d185a

pentadecimal (15) 158969

As an angle

1,041,624° = 2,893 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零四萬一千六百二十四
Chinese (financial): 壹佰零肆萬壹仟陸佰貳拾肆

In other modern scripts

Eastern Arabic ١٠٤١٦٢٤ Devanagari १०४१६२४ Bengali ১০৪১৬২৪ Tamil ௧௦௪௧௬௨௪ Thai ๑๐๔๑๖๒๔ Tibetan ༡༠༤༡༦༢༤ Khmer ១០៤១៦២៤ Lao ໑໐໔໑໖໒໔ Burmese ၁၀၄၁၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041624, here are decompositions:

5 + 1041619 = 1041624
7 + 1041617 = 1041624
41 + 1041583 = 1041624
47 + 1041577 = 1041624
53 + 1041571 = 1041624
61 + 1041563 = 1041624
71 + 1041553 = 1041624
107 + 1041517 = 1041624

Showing the first eight; more decompositions exist.

Hex color

#0FE4D8

RGB(15, 228, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.228.216.

Address: 0.15.228.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.228.216

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 1624 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1624-04-01 (DMMYYYY (Euro, single-digit day))
1624-10-04 (MMDYYYY (US, single-digit day))
1624-04-10 (DDMYYYY (Euro, single-digit month))

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 1,041,624 and was likely granted around 1912.

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

Look up US1,041,624 on Google Patents ↗ Look up on USPTO ↗