λ
Prime Ledger

1,045,450

2 × 52 × 7 × 29 × 103
Abundant Even Composite

1,045,450 has the prime decomposition 2 × 5^2 × 7 × 29 × 103. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 29 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,321,280
Proper Divisor Sum 1,275,830
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1045427 ← → #1045469

Radix Representation

Decimal 1045450
Binary 11111111001111001010 (20 bits)
Octal 0o3771712
Hexadecimal 0xFF3CA

Divisor Catalog (48)

1 2 5 7 10 14 25 29 35 50 58 70 103 145 175 203 206 290 350 406 515 721 725 1,015 1,030 1,442 1,450 2,030 2,575 2,987 3,605 5,075 5,150 5,974 7,210 10,150 14,935 18,025 20,909 29,870 36,050 41,818 74,675 104,545 149,350 209,090 522,725 1,045,450

Collatz Trajectory (178 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,045,450 522,725 1,568,176 784,088 392,044 196,022 98,011 294,034 147,017 441,052 220,526 110,263 330,790 165,395 496,186 248,093 744,280 372,140 186,070 93,035 279,106 139,553 418,660 209,330 104,665 313,996 156,998 78,499 235,498 117,749 353,248 176,624 88,312 44,156 22,078 11,039 33,118 16,559 49,678 24,839 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791

More profiles

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