λ
Harmonic Matrix

4,912,263

32 × 107 × 5101
Deficient Odd Composite

4,912,263 has digital root 9. The neighboring primes are 4912253 and 4912267; its proper-divisor sum differs from the starting integer by -2,661,318.

Prime Factor Structure

Factorization String 3^2 × 107 × 5101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,163,208
Proper Divisor Sum 2,250,945
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4912253 ← → #4912267

Radix Representation

Decimal 4912263
Binary 10010101111010010000111 (23 bits)
Octal 0o22572207
Hexadecimal 0x4AF487

Divisor Catalog (12)

1 3 9 107 321 963 5,101 15,303 45,909 545,807 1,637,421 4,912,263

Collatz Trajectory (144 steps to reach 1)

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

4,912,263 14,736,790 7,368,395 22,105,186 11,052,593 33,157,780 16,578,890 8,289,445 24,868,336 12,434,168 6,217,084 3,108,542 1,554,271 4,662,814 2,331,407 6,994,222 3,497,111 10,491,334 5,245,667 15,737,002 7,868,501 23,605,504 11,802,752 5,901,376 2,950,688 1,475,344 737,672 368,836 184,418 92,209 276,628 138,314 69,157 207,472 103,736 51,868 25,934 12,967 38,902 19,451 58,354 29,177 87,532 43,766 21,883 65,650 32,825 98,476 49,238 24,619 73,858 36,929 110,788 55,394 27,697 83,092 41,546 20,773 62,320 31,160

More profiles

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