λ
Sigma Notebook

7,407,734

2 × 677 × 5471
Deficient Even Composite

7,407,734 is even and not a perfect square. Its factorization is 2 × 677 × 5471 and its 8 divisors sum to 11,130,048.

Prime Factor Structure

Factorization String 2 × 677 × 5471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,130,048
Proper Divisor Sum 3,722,314
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7407713 ← → #7407761

Radix Representation

Decimal 7407734
Binary 11100010000100001110110 (23 bits)
Octal 0o34204166
Hexadecimal 0x710876

Divisor Catalog (8)

1 2 677 1,354 5,471 10,942 3,703,867 7,407,734

Collatz Trajectory (142 steps to reach 1)

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

7,407,734 3,703,867 11,111,602 5,555,801 16,667,404 8,333,702 4,166,851 12,500,554 6,250,277 18,750,832 9,375,416 4,687,708 2,343,854 1,171,927 3,515,782 1,757,891 5,273,674 2,636,837 7,910,512 3,955,256 1,977,628 988,814 494,407 1,483,222 741,611 2,224,834 1,112,417 3,337,252 1,668,626 834,313 2,502,940 1,251,470 625,735 1,877,206 938,603 2,815,810 1,407,905 4,223,716 2,111,858 1,055,929 3,167,788 1,583,894 791,947 2,375,842 1,187,921 3,563,764 1,781,882 890,941 2,672,824 1,336,412 668,206 334,103 1,002,310 501,155 1,503,466 751,733 2,255,200 1,127,600 563,800 281,900

More profiles

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