λ
Harmonic Matrix

9,028,539

32 × 13 × 77167
Deficient Odd Composite

9,028,539 has digital root 9. The neighboring primes are 9028531 and 9028543; its proper-divisor sum differs from the starting integer by -4,012,502.

Prime Factor Structure

Factorization String 3^2 × 13 × 77167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,044,576
Proper Divisor Sum 5,016,037
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9028531 ← → #9028543

Radix Representation

Decimal 9028539
Binary 100010011100001110111011 (24 bits)
Octal 0o42341673
Hexadecimal 0x89C3BB

Divisor Catalog (12)

1 3 9 13 39 117 77,167 231,501 694,503 1,003,171 3,009,513 9,028,539

Collatz Trajectory (287 steps to reach 1)

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

9,028,539 27,085,618 13,542,809 40,628,428 20,314,214 10,157,107 30,471,322 15,235,661 45,706,984 22,853,492 11,426,746 5,713,373 17,140,120 8,570,060 4,285,030 2,142,515 6,427,546 3,213,773 9,641,320 4,820,660 2,410,330 1,205,165 3,615,496 1,807,748 903,874 451,937 1,355,812 677,906 338,953 1,016,860 508,430 254,215 762,646 381,323 1,143,970 571,985 1,715,956 857,978 428,989 1,286,968 643,484 321,742 160,871 482,614 241,307 723,922 361,961 1,085,884 542,942 271,471 814,414 407,207 1,221,622 610,811 1,832,434 916,217 2,748,652 1,374,326 687,163 2,061,490

More profiles

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