λ
Harmonic Matrix

7,203,747

3 × 43 × 55843
Deficient Odd Composite

7,203,747 has digital root 3. The neighboring primes are 7203743 and 7203769; its proper-divisor sum differs from the starting integer by -4,578,950.

Prime Factor Structure

Factorization String 3 × 43 × 55843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,828,544
Proper Divisor Sum 2,624,797
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7203743 ← → #7203769

Radix Representation

Decimal 7203747
Binary 11011011110101110100011 (23 bits)
Octal 0o33365643
Hexadecimal 0x6DEBA3

Divisor Catalog (8)

1 3 43 129 55,843 167,529 2,401,249 7,203,747

Collatz Trajectory (90 steps to reach 1)

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

7,203,747 21,611,242 10,805,621 32,416,864 16,208,432 8,104,216 4,052,108 2,026,054 1,013,027 3,039,082 1,519,541 4,558,624 2,279,312 1,139,656 569,828 284,914 142,457 427,372 213,686 106,843 320,530 160,265 480,796 240,398 120,199 360,598 180,299 540,898 270,449 811,348 405,674 202,837 608,512 304,256 152,128 76,064 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271

More profiles

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