λ
Harmonic Matrix

9,404,473

13 × 723421
Deficient Odd Composite

9,404,473 has digital root 4. The neighboring primes are 9404443 and 9404489; its proper-divisor sum differs from the starting integer by -8,681,038.

Prime Factor Structure

Factorization String 13 × 723421
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,127,908
Proper Divisor Sum 723,435
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9404443 ← → #9404489

Radix Representation

Decimal 9404473
Binary 100011111000000000111001 (24 bits)
Octal 0o43700071
Hexadecimal 0x8F8039

Divisor Catalog (4)

1 13 723,421 9,404,473

Collatz Trajectory (132 steps to reach 1)

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

9,404,473 28,213,420 14,106,710 7,053,355 21,160,066 10,580,033 31,740,100 15,870,050 7,935,025 23,805,076 11,902,538 5,951,269 17,853,808 8,926,904 4,463,452 2,231,726 1,115,863 3,347,590 1,673,795 5,021,386 2,510,693 7,532,080 3,766,040 1,883,020 941,510 470,755 1,412,266 706,133 2,118,400 1,059,200 529,600 264,800 132,400 66,200 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668

More profiles

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