λ
Harmonic Matrix

4,770,364

22 × 733 × 1627
Deficient Even Composite

4,770,364 has digital root 4. The neighboring primes are 4770347 and 4770379; its proper-divisor sum differs from the starting integer by -1,176,064.

Prime Factor Structure

Factorization String 2^2 × 733 × 1627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,364,664
Proper Divisor Sum 3,594,300
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4770347 ← → #4770379

Radix Representation

Decimal 4770364
Binary 10010001100101000111100 (23 bits)
Octal 0o22145074
Hexadecimal 0x48CA3C

Divisor Catalog (12)

1 2 4 733 1,466 1,627 2,932 3,254 6,508 1,192,591 2,385,182 4,770,364

Collatz Trajectory (268 steps to reach 1)

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

4,770,364 2,385,182 1,192,591 3,577,774 1,788,887 5,366,662 2,683,331 8,049,994 4,024,997 12,074,992 6,037,496 3,018,748 1,509,374 754,687 2,264,062 1,132,031 3,396,094 1,698,047 5,094,142 2,547,071 7,641,214 3,820,607 11,461,822 5,730,911 17,192,734 8,596,367 25,789,102 12,894,551 38,683,654 19,341,827 58,025,482 29,012,741 87,038,224 43,519,112 21,759,556 10,879,778 5,439,889 16,319,668 8,159,834 4,079,917 12,239,752 6,119,876 3,059,938 1,529,969 4,589,908 2,294,954 1,147,477 3,442,432 1,721,216 860,608 430,304 215,152 107,576 53,788 26,894 13,447 40,342 20,171 60,514 30,257

More profiles

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