λ
Harmonic Matrix

4,768,427

4768427
Deficient Odd Prime

4,768,427 has digital root 2. The neighboring primes are 4768417 and 4768459; its proper-divisor sum differs from the starting integer by -4,768,426.

Prime Factor Structure

Factorization String 4768427
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,768,428
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4768417 ← → #4768459

Radix Representation

Decimal 4768427
Binary 10010001100001010101011 (23 bits)
Octal 0o22141253
Hexadecimal 0x48C2AB

Divisor Catalog (2)

Collatz Trajectory (100 steps to reach 1)

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

4,768,427 14,305,282 7,152,641 21,457,924 10,728,962 5,364,481 16,093,444 8,046,722 4,023,361 12,070,084 6,035,042 3,017,521 9,052,564 4,526,282 2,263,141 6,789,424 3,394,712 1,697,356 848,678 424,339 1,273,018 636,509 1,909,528 954,764 477,382 238,691 716,074 358,037 1,074,112 537,056 268,528 134,264 67,132 33,566 16,783 50,350 25,175 75,526 37,763 113,290 56,645 169,936 84,968 42,484 21,242 10,621 31,864 15,932 7,966 3,983 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042

More profiles

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