λ
Harmonic Matrix

7,037,445

3 × 5 × 41 × 11443
Deficient Odd Composite

7,037,445 has digital root 3. The neighboring primes are 7037417 and 7037453; its proper-divisor sum differs from the starting integer by -2,539,338.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 11443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,535,552
Proper Divisor Sum 4,498,107
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7037417 ← → #7037453

Radix Representation

Decimal 7037445
Binary 11010110110001000000101 (23 bits)
Octal 0o32661005
Hexadecimal 0x6B6205

Divisor Catalog (16)

1 3 5 15 41 123 205 615 11,443 34,329 57,215 171,645 469,163 1,407,489 2,345,815 7,037,445

Collatz Trajectory (129 steps to reach 1)

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

7,037,445 21,112,336 10,556,168 5,278,084 2,639,042 1,319,521 3,958,564 1,979,282 989,641 2,968,924 1,484,462 742,231 2,226,694 1,113,347 3,340,042 1,670,021 5,010,064 2,505,032 1,252,516 626,258 313,129 939,388 469,694 234,847 704,542 352,271 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

More profiles

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