λ
Harmonic Matrix

7,075,424

25 × 127 × 1741
Deficient Even Composite

7,075,424 has digital root 2. The neighboring primes are 7075423 and 7075433; its proper-divisor sum differs from the starting integer by -103,360.

Prime Factor Structure

Factorization String 2^5 × 127 × 1741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,047,488
Proper Divisor Sum 6,972,064
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7075423 ← → #7075433

Radix Representation

Decimal 7075424
Binary 11010111111011001100000 (23 bits)
Octal 0o32773140
Hexadecimal 0x6BF660

Divisor Catalog (24)

1 2 4 8 16 32 127 254 508 1,016 1,741 2,032 3,482 4,064 6,964 13,928 27,856 55,712 221,107 442,214 884,428 1,768,856 3,537,712 7,075,424

Collatz Trajectory (54 steps to reach 1)

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

7,075,424 3,537,712 1,768,856 884,428 442,214 221,107 663,322 331,661 994,984 497,492 248,746 124,373 373,120 186,560 93,280 46,640 23,320 11,660 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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