λ
Harmonic Matrix

4,471,367

712 × 887
Deficient Odd Composite

4,471,367 has digital root 5. The neighboring primes are 4471349 and 4471381; its proper-divisor sum differs from the starting integer by -4,402,390.

Prime Factor Structure

Factorization String 71^2 × 887
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,540,344
Proper Divisor Sum 68,977
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4471349 ← → #4471381

Radix Representation

Decimal 4471367
Binary 10001000011101001000111 (23 bits)
Octal 0o21035107
Hexadecimal 0x443A47

Divisor Catalog (6)

1 71 887 5,041 62,977 4,471,367

Collatz Trajectory (118 steps to reach 1)

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

4,471,367 13,414,102 6,707,051 20,121,154 10,060,577 30,181,732 15,090,866 7,545,433 22,636,300 11,318,150 5,659,075 16,977,226 8,488,613 25,465,840 12,732,920 6,366,460 3,183,230 1,591,615 4,774,846 2,387,423 7,162,270 3,581,135 10,743,406 5,371,703 16,115,110 8,057,555 24,172,666 12,086,333 36,259,000 18,129,500 9,064,750 4,532,375 13,597,126 6,798,563 20,395,690 10,197,845 30,593,536 15,296,768 7,648,384 3,824,192 1,912,096 956,048 478,024 239,012 119,506 59,753 179,260 89,630 44,815 134,446 67,223 201,670 100,835 302,506 151,253 453,760 226,880 113,440 56,720 28,360

More profiles

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