λ
Harmonic Matrix

9,515,488

25 × 297359
Deficient Even Composite

9,515,488 has digital root 4. The neighboring primes are 9515483 and 9515497; its proper-divisor sum differs from the starting integer by -297,296.

Prime Factor Structure

Factorization String 2^5 × 297359
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,733,680
Proper Divisor Sum 9,218,192
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9515483 ← → #9515497

Radix Representation

Decimal 9515488
Binary 100100010011000111100000 (24 bits)
Octal 0o44230740
Hexadecimal 0x9131E0

Divisor Catalog (12)

1 2 4 8 16 32 297,359 594,718 1,189,436 2,378,872 4,757,744 9,515,488

Collatz Trajectory (163 steps to reach 1)

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

9,515,488 4,757,744 2,378,872 1,189,436 594,718 297,359 892,078 446,039 1,338,118 669,059 2,007,178 1,003,589 3,010,768 1,505,384 752,692 376,346 188,173 564,520 282,260 141,130 70,565 211,696 105,848 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120 12,560 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

More profiles

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