λ
Sigma Notebook

1,398,810

2 × 3 × 5 × 7 × 6661
Abundant Even Composite

1,398,810 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 7 × 6661 and its 32 divisors sum to 3,837,312.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 6661
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,837,312
Proper Divisor Sum 2,438,502
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1398781 ← → #1398841

Radix Representation

Decimal 1398810
Binary 101010101100000011010 (21 bits)
Octal 0o5254032
Hexadecimal 0x15581A

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 6,661 13,322 19,983 33,305 39,966 46,627 66,610 93,254 99,915 139,881 199,830 233,135 279,762 466,270 699,405 1,398,810

Collatz Trajectory (106 steps to reach 1)

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

1,398,810 699,405 2,098,216 1,049,108 524,554 262,277 786,832 393,416 196,708 98,354 49,177 147,532 73,766 36,883 110,650 55,325 165,976 82,988 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247

More profiles

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