λ
Prime Ledger

7,004,384

25 × 218887
Deficient Even Composite

7,004,384 has the prime decomposition 2^5 × 218887. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 218887
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,789,944
Proper Divisor Sum 6,785,560
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7004383 ← → #7004401

Radix Representation

Decimal 7004384
Binary 11010101110000011100000 (23 bits)
Octal 0o32560340
Hexadecimal 0x6AE0E0

Divisor Catalog (12)

1 2 4 8 16 32 218,887 437,774 875,548 1,751,096 3,502,192 7,004,384

Collatz Trajectory (191 steps to reach 1)

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

7,004,384 3,502,192 1,751,096 875,548 437,774 218,887 656,662 328,331 984,994 492,497 1,477,492 738,746 369,373 1,108,120 554,060 277,030 138,515 415,546 207,773 623,320 311,660 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920 157,960 78,980 39,490 19,745 59,236 29,618 14,809 44,428

More profiles

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