7,887,984

2⁴ × 3 × 13 × 12641

7,887,984 has the prime decomposition 2^4 × 3 × 13 × 12641. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 12641

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 21,946,512

Proper Divisor Sum 14,058,528

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #7887959 ← → #7887989

Radix Representation

Decimal	7887984
Binary	11110000101110001110000 (23 bits)
Octal	0o36056160
Hexadecimal	0x785C70

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 12,641 25,282 37,923 50,564 75,846 101,128 151,692 164,333 202,256 303,384 328,666 492,999 606,768 657,332 985,998 1,314,664 1,971,996 2,629,328 3,943,992 7,887,984

Collatz Trajectory (186 steps to reach 1)

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

7,887,984 3,943,992 1,971,996 985,998 492,999 1,478,998 739,499 2,218,498 1,109,249 3,327,748 1,663,874 831,937 2,495,812 1,247,906 623,953 1,871,860 935,930 467,965 1,403,896 701,948 350,974 175,487 526,462 263,231 789,694 394,847 1,184,542 592,271 1,776,814 888,407 2,665,222 1,332,611 3,997,834 1,998,917 5,996,752 2,998,376 1,499,188 749,594 374,797 1,124,392 562,196 281,098 140,549 421,648 210,824 105,412 52,706 26,353 79,060 39,530 19,765 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390

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