λ
Harmonic Matrix

9,014,832

24 × 32 × 62603
Abundant Even Composite

9,014,832 has digital root 9. The neighboring primes are 9014813 and 9014833; its proper-divisor sum differs from the starting integer by 7,199,748.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 62603
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 25,229,412
Proper Divisor Sum 16,214,580
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9014813 ← → #9014833

Radix Representation

Decimal 9014832
Binary 100010011000111000110000 (24 bits)
Octal 0o42307060
Hexadecimal 0x898E30

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 62,603 125,206 187,809 250,412 375,618 500,824 563,427 751,236 1,001,648 1,126,854 1,502,472 2,253,708 3,004,944 4,507,416 9,014,832

Collatz Trajectory (150 steps to reach 1)

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

9,014,832 4,507,416 2,253,708 1,126,854 563,427 1,690,282 845,141 2,535,424 1,267,712 633,856 316,928 158,464 79,232 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

More profiles

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