λ
Harmonic Matrix

6,473,791

53 × 122147
Deficient Odd Composite

6,473,791 has digital root 1. The neighboring primes are 6473749 and 6473801; its proper-divisor sum differs from the starting integer by -6,351,590.

Prime Factor Structure

Factorization String 53 × 122147
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,595,992
Proper Divisor Sum 122,201
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6473749 ← → #6473801

Radix Representation

Decimal 6473791
Binary 11000101100100000111111 (23 bits)
Octal 0o30544077
Hexadecimal 0x62C83F

Divisor Catalog (4)

1 53 122,147 6,473,791

Collatz Trajectory (240 steps to reach 1)

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

6,473,791 19,421,374 9,710,687 29,132,062 14,566,031 43,698,094 21,849,047 65,547,142 32,773,571 98,320,714 49,160,357 147,481,072 73,740,536 36,870,268 18,435,134 9,217,567 27,652,702 13,826,351 41,479,054 20,739,527 62,218,582 31,109,291 93,327,874 46,663,937 139,991,812 69,995,906 34,997,953 104,993,860 52,496,930 26,248,465 78,745,396 39,372,698 19,686,349 59,059,048 29,529,524 14,764,762 7,382,381 22,147,144 11,073,572 5,536,786 2,768,393 8,305,180 4,152,590 2,076,295 6,228,886 3,114,443 9,343,330 4,671,665 14,014,996 7,007,498 3,503,749 10,511,248 5,255,624 2,627,812 1,313,906 656,953 1,970,860 985,430 492,715 1,478,146

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