λ
Prime Ledger

7,967,426

2 × 193 × 20641
Deficient Even Composite

7,967,426 has the prime decomposition 2 × 193 × 20641. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 193 × 20641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,013,644
Proper Divisor Sum 4,046,218
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7967423 ← → #7967429

Radix Representation

Decimal 7967426
Binary 11110011001001011000010 (23 bits)
Octal 0o36311302
Hexadecimal 0x7992C2

Divisor Catalog (8)

1 2 193 386 20,641 41,282 3,983,713 7,967,426

Collatz Trajectory (124 steps to reach 1)

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

7,967,426 3,983,713 11,951,140 5,975,570 2,987,785 8,963,356 4,481,678 2,240,839 6,722,518 3,361,259 10,083,778 5,041,889 15,125,668 7,562,834 3,781,417 11,344,252 5,672,126 2,836,063 8,508,190 4,254,095 12,762,286 6,381,143 19,143,430 9,571,715 28,715,146 14,357,573 43,072,720 21,536,360 10,768,180 5,384,090 2,692,045 8,076,136 4,038,068 2,019,034 1,009,517 3,028,552 1,514,276 757,138 378,569 1,135,708 567,854 283,927 851,782 425,891 1,277,674 638,837 1,916,512 958,256 479,128 239,564 119,782 59,891 179,674 89,837 269,512 134,756 67,378 33,689 101,068 50,534

More profiles

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