λ
Harmonic Matrix

9,017,384

23 × 757 × 1489
Deficient Even Composite

9,017,384 has digital root 5. The neighboring primes are 9017377 and 9017387; its proper-divisor sum differs from the starting integer by -1,093,468.

Prime Factor Structure

Factorization String 2^3 × 757 × 1489
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,941,300
Proper Divisor Sum 7,923,916
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9017377 ← → #9017387

Radix Representation

Decimal 9017384
Binary 100010011001100000101000 (24 bits)
Octal 0o42314050
Hexadecimal 0x899828

Divisor Catalog (16)

1 2 4 8 757 1,489 1,514 2,978 3,028 5,956 6,056 11,912 1,127,173 2,254,346 4,508,692 9,017,384

Collatz Trajectory (163 steps to reach 1)

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

9,017,384 4,508,692 2,254,346 1,127,173 3,381,520 1,690,760 845,380 422,690 211,345 634,036 317,018 158,509 475,528 237,764 118,882 59,441 178,324 89,162 44,581 133,744 66,872 33,436 16,718 8,359 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223

More profiles

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