λ
Harmonic Matrix

7,149,346

2 × 3574673
Deficient Even Composite

7,149,346 has digital root 7. The neighboring primes are 7149277 and 7149347; its proper-divisor sum differs from the starting integer by -3,574,670.

Prime Factor Structure

Factorization String 2 × 3574673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,724,022
Proper Divisor Sum 3,574,676
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7149277 ← → #7149347

Radix Representation

Decimal 7149346
Binary 11011010001011100100010 (23 bits)
Octal 0o33213442
Hexadecimal 0x6D1722

Divisor Catalog (4)

1 2 3,574,673 7,149,346

Collatz Trajectory (116 steps to reach 1)

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

7,149,346 3,574,673 10,724,020 5,362,010 2,681,005 8,043,016 4,021,508 2,010,754 1,005,377 3,016,132 1,508,066 754,033 2,262,100 1,131,050 565,525 1,696,576 848,288 424,144 212,072 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276

More profiles

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