λ
Prime Ledger

1,401,204

22 × 3 × 72 × 2383
Abundant Even Composite

1,401,204 has the prime decomposition 2^2 × 3 × 7^2 × 2383. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 2383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,804,864
Proper Divisor Sum 2,403,660
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1401203 ← → #1401217

Radix Representation

Decimal 1401204
Binary 101010110000101110100 (21 bits)
Octal 0o5260564
Hexadecimal 0x156174

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2,383 4,766 7,149 9,532 14,298 16,681 28,596 33,362 50,043 66,724 100,086 116,767 200,172 233,534 350,301 467,068 700,602 1,401,204

Collatz Trajectory (106 steps to reach 1)

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

1,401,204 700,602 350,301 1,050,904 525,452 262,726 131,363 394,090 197,045 591,136 295,568 147,784 73,892 36,946 18,473 55,420 27,710 13,855 41,566 20,783 62,350 31,175 93,526 46,763 140,290 70,145 210,436 105,218 52,609 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456 18,728 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484

More profiles

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