λ
Harmonic Matrix

7,047,329

829 × 8501
Deficient Odd Composite

7,047,329 has digital root 5. The neighboring primes are 7047317 and 7047331; its proper-divisor sum differs from the starting integer by -7,037,998.

Prime Factor Structure

Factorization String 829 × 8501
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,056,660
Proper Divisor Sum 9,331
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7047317 ← → #7047331

Radix Representation

Decimal 7047329
Binary 11010111000100010100001 (23 bits)
Octal 0o32704241
Hexadecimal 0x6B88A1

Divisor Catalog (4)

1 829 8,501 7,047,329

Collatz Trajectory (173 steps to reach 1)

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

7,047,329 21,141,988 10,570,994 5,285,497 15,856,492 7,928,246 3,964,123 11,892,370 5,946,185 17,838,556 8,919,278 4,459,639 13,378,918 6,689,459 20,068,378 10,034,189 30,102,568 15,051,284 7,525,642 3,762,821 11,288,464 5,644,232 2,822,116 1,411,058 705,529 2,116,588 1,058,294 529,147 1,587,442 793,721 2,381,164 1,190,582 595,291 1,785,874 892,937 2,678,812 1,339,406 669,703 2,009,110 1,004,555 3,013,666 1,506,833 4,520,500 2,260,250 1,130,125 3,390,376 1,695,188 847,594 423,797 1,271,392 635,696 317,848 158,924 79,462 39,731 119,194 59,597 178,792 89,396 44,698

More profiles

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