λ
Prime Ledger

2,145,225

3 × 52 × 28603
Deficient Odd Composite

2,145,225 has the prime decomposition 3 × 5^2 × 28603. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 28603
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,546,896
Proper Divisor Sum 1,401,671
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2145197 ← → #2145239

Radix Representation

Decimal 2145225
Binary 1000001011101111001001 (22 bits)
Octal 0o10135711
Hexadecimal 0x20BBC9

Divisor Catalog (12)

1 3 5 15 25 75 28,603 85,809 143,015 429,045 715,075 2,145,225

Collatz Trajectory (241 steps to reach 1)

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

2,145,225 6,435,676 3,217,838 1,608,919 4,826,758 2,413,379 7,240,138 3,620,069 10,860,208 5,430,104 2,715,052 1,357,526 678,763 2,036,290 1,018,145 3,054,436 1,527,218 763,609 2,290,828 1,145,414 572,707 1,718,122 859,061 2,577,184 1,288,592 644,296 322,148 161,074 80,537 241,612 120,806 60,403 181,210 90,605 271,816 135,908 67,954 33,977 101,932 50,966 25,483 76,450 38,225 114,676 57,338 28,669 86,008 43,004 21,502 10,751 32,254 16,127 48,382 24,191 72,574 36,287 108,862 54,431 163,294 81,647

More profiles

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