λ
Harmonic Matrix

7,020,141

3 × 151 × 15497
Deficient Odd Composite

7,020,141 has digital root 6. The neighboring primes are 7020131 and 7020161; its proper-divisor sum differs from the starting integer by -4,617,498.

Prime Factor Structure

Factorization String 3 × 151 × 15497
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,422,784
Proper Divisor Sum 2,402,643
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #7020131 ← → #7020161

Radix Representation

Decimal 7020141
Binary 11010110001111001101101 (23 bits)
Octal 0o32617155
Hexadecimal 0x6B1E6D

Divisor Catalog (8)

1 3 151 453 15,497 46,491 2,340,047 7,020,141

Collatz Trajectory (204 steps to reach 1)

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

7,020,141 21,060,424 10,530,212 5,265,106 2,632,553 7,897,660 3,948,830 1,974,415 5,923,246 2,961,623 8,884,870 4,442,435 13,327,306 6,663,653 19,990,960 9,995,480 4,997,740 2,498,870 1,249,435 3,748,306 1,874,153 5,622,460 2,811,230 1,405,615 4,216,846 2,108,423 6,325,270 3,162,635 9,487,906 4,743,953 14,231,860 7,115,930 3,557,965 10,673,896 5,336,948 2,668,474 1,334,237 4,002,712 2,001,356 1,000,678 500,339 1,501,018 750,509 2,251,528 1,125,764 562,882 281,441 844,324 422,162 211,081 633,244 316,622 158,311 474,934 237,467 712,402 356,201 1,068,604 534,302 267,151

More profiles

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