λ
Sigma Notebook

6,973,484

22 × 72 × 47 × 757
Abundant Even Composite

6,973,484 is even and not a perfect square. Its factorization is 2^2 × 7^2 × 47 × 757 and its 36 divisors sum to 14,517,216.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 47 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,517,216
Proper Divisor Sum 7,543,732
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6973453 ← → #6973489

Radix Representation

Decimal 6973484
Binary 11010100110100000101100 (23 bits)
Octal 0o32464054
Hexadecimal 0x6A682C

Divisor Catalog (36)

1 2 4 7 14 28 47 49 94 98 188 196 329 658 757 1,316 1,514 2,303 3,028 4,606 5,299 9,212 10,598 21,196 35,579 37,093 71,158 74,186 142,316 148,372 249,053 498,106 996,212 1,743,371 3,486,742 6,973,484

Collatz Trajectory (98 steps to reach 1)

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

6,973,484 3,486,742 1,743,371 5,230,114 2,615,057 7,845,172 3,922,586 1,961,293 5,883,880 2,941,940 1,470,970 735,485 2,206,456 1,103,228 551,614 275,807 827,422 413,711 1,241,134 620,567 1,861,702 930,851 2,792,554 1,396,277 4,188,832 2,094,416 1,047,208 523,604 261,802 130,901 392,704 196,352 98,176 49,088 24,544 12,272 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381

More profiles

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