λ
Harmonic Matrix

3,757,552

24 × 234847
Deficient Even Composite

3,757,552 has digital root 7. The neighboring primes are 3757513 and 3757571; its proper-divisor sum differs from the starting integer by -234,816.

Prime Factor Structure

Factorization String 2^4 × 234847
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 7,280,288
Proper Divisor Sum 3,522,736
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3757513 ← → #3757571

Radix Representation

Decimal 3757552
Binary 1110010101010111110000 (22 bits)
Octal 0o16252760
Hexadecimal 0x3955F0

Divisor Catalog (10)

1 2 4 8 16 234,847 469,694 939,388 1,878,776 3,757,552

Collatz Trajectory (110 steps to reach 1)

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

3,757,552 1,878,776 939,388 469,694 234,847 704,542 352,271 1,056,814 528,407 1,585,222 792,611 2,377,834 1,188,917 3,566,752 1,783,376 891,688 445,844 222,922 111,461 334,384 167,192 83,596 41,798 20,899 62,698 31,349 94,048 47,024 23,512 11,756 5,878 2,939 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854

More profiles

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