λ
Harmonic Matrix

7,429,669

13 × 43 × 13291
Deficient Odd Composite

7,429,669 has digital root 7. The neighboring primes are 7429649 and 7429673; its proper-divisor sum differs from the starting integer by -6,671,466.

Prime Factor Structure

Factorization String 13 × 43 × 13291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,187,872
Proper Divisor Sum 758,203
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7429649 ← → #7429673

Radix Representation

Decimal 7429669
Binary 11100010101111000100101 (23 bits)
Octal 0o34257045
Hexadecimal 0x715E25

Divisor Catalog (8)

1 13 43 559 13,291 172,783 571,513 7,429,669

Collatz Trajectory (142 steps to reach 1)

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

7,429,669 22,289,008 11,144,504 5,572,252 2,786,126 1,393,063 4,179,190 2,089,595 6,268,786 3,134,393 9,403,180 4,701,590 2,350,795 7,052,386 3,526,193 10,578,580 5,289,290 2,644,645 7,933,936 3,966,968 1,983,484 991,742 495,871 1,487,614 743,807 2,231,422 1,115,711 3,347,134 1,673,567 5,020,702 2,510,351 7,531,054 3,765,527 11,296,582 5,648,291 16,944,874 8,472,437 25,417,312 12,708,656 6,354,328 3,177,164 1,588,582 794,291 2,382,874 1,191,437 3,574,312 1,787,156 893,578 446,789 1,340,368 670,184 335,092 167,546 83,773 251,320 125,660 62,830 31,415 94,246 47,123

More profiles

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