λ
Harmonic Matrix

9,471,287

7 × 41 × 61 × 541
Deficient Odd Composite

9,471,287 has digital root 2. The neighboring primes are 9471283 and 9471289; its proper-divisor sum differs from the starting integer by -7,651,630.

Prime Factor Structure

Factorization String 7 × 41 × 61 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,290,944
Proper Divisor Sum 1,819,657
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9471283 ← → #9471289

Radix Representation

Decimal 9471287
Binary 100100001000010100110111 (24 bits)
Octal 0o44102467
Hexadecimal 0x908537

Divisor Catalog (16)

1 7 41 61 287 427 541 2,501 3,787 17,507 22,181 33,001 155,267 231,007 1,353,041 9,471,287

Collatz Trajectory (225 steps to reach 1)

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

9,471,287 28,413,862 14,206,931 42,620,794 21,310,397 63,931,192 31,965,596 15,982,798 7,991,399 23,974,198 11,987,099 35,961,298 17,980,649 53,941,948 26,970,974 13,485,487 40,456,462 20,228,231 60,684,694 30,342,347 91,027,042 45,513,521 136,540,564 68,270,282 34,135,141 102,405,424 51,202,712 25,601,356 12,800,678 6,400,339 19,201,018 9,600,509 28,801,528 14,400,764 7,200,382 3,600,191 10,800,574 5,400,287 16,200,862 8,100,431 24,301,294 12,150,647 36,451,942 18,225,971 54,677,914 27,338,957 82,016,872 41,008,436 20,504,218 10,252,109 30,756,328 15,378,164 7,689,082 3,844,541 11,533,624 5,766,812 2,883,406 1,441,703 4,325,110 2,162,555

More profiles

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