λ
Harmonic Matrix

4,496,998

2 × 11 × 71 × 2879
Deficient Even Composite

4,496,998 has digital root 4. The neighboring primes are 4496963 and 4497011; its proper-divisor sum differs from the starting integer by -1,529,036.

Prime Factor Structure

Factorization String 2 × 11 × 71 × 2879
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,464,960
Proper Divisor Sum 2,967,962
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #4496963 ← → #4497011

Radix Representation

Decimal 4496998
Binary 10001001001111001100110 (23 bits)
Octal 0o21117146
Hexadecimal 0x449E66

Divisor Catalog (16)

1 2 11 22 71 142 781 1,562 2,879 5,758 31,669 63,338 204,409 408,818 2,248,499 4,496,998

Collatz Trajectory (180 steps to reach 1)

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

4,496,998 2,248,499 6,745,498 3,372,749 10,118,248 5,059,124 2,529,562 1,264,781 3,794,344 1,897,172 948,586 474,293 1,422,880 711,440 355,720 177,860 88,930 44,465 133,396 66,698 33,349 100,048 50,024 25,012 12,506 6,253 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796

More profiles

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