λ
Harmonic Matrix

4,294,735

5 × 157 × 5471
Deficient Odd Composite

4,294,735 has digital root 7. The neighboring primes are 4294729 and 4294751; its proper-divisor sum differs from the starting integer by -3,402,014.

Prime Factor Structure

Factorization String 5 × 157 × 5471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,187,456
Proper Divisor Sum 892,721
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4294729 ← → #4294751

Radix Representation

Decimal 4294735
Binary 10000011000100001001111 (23 bits)
Octal 0o20304117
Hexadecimal 0x41884F

Divisor Catalog (8)

1 5 157 785 5,471 27,355 858,947 4,294,735

Collatz Trajectory (123 steps to reach 1)

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

4,294,735 12,884,206 6,442,103 19,326,310 9,663,155 28,989,466 14,494,733 43,484,200 21,742,100 10,871,050 5,435,525 16,306,576 8,153,288 4,076,644 2,038,322 1,019,161 3,057,484 1,528,742 764,371 2,293,114 1,146,557 3,439,672 1,719,836 859,918 429,959 1,289,878 644,939 1,934,818 967,409 2,902,228 1,451,114 725,557 2,176,672 1,088,336 544,168 272,084 136,042 68,021 204,064 102,032 51,016 25,508 12,754 6,377 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541

More profiles

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