λ
Harmonic Matrix

4,951,088

24 × 79 × 3917
Deficient Even Composite

4,951,088 has digital root 8. The neighboring primes are 4951073 and 4951091; its proper-divisor sum differs from the starting integer by -185,536.

Prime Factor Structure

Factorization String 2^4 × 79 × 3917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,716,640
Proper Divisor Sum 4,765,552
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4951073 ← → #4951091

Radix Representation

Decimal 4951088
Binary 10010111000110000110000 (23 bits)
Octal 0o22706060
Hexadecimal 0x4B8C30

Divisor Catalog (20)

1 2 4 8 16 79 158 316 632 1,264 3,917 7,834 15,668 31,336 62,672 309,443 618,886 1,237,772 2,475,544 4,951,088

Collatz Trajectory (82 steps to reach 1)

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

4,951,088 2,475,544 1,237,772 618,886 309,443 928,330 464,165 1,392,496 696,248 348,124 174,062 87,031 261,094 130,547 391,642 195,821 587,464 293,732 146,866 73,433 220,300 110,150 55,075 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148

More profiles

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