λ
Harmonic Matrix

4,807,367

313 × 15359
Deficient Odd Composite

4,807,367 has digital root 8. The neighboring primes are 4807343 and 4807393; its proper-divisor sum differs from the starting integer by -4,791,694.

Prime Factor Structure

Factorization String 313 × 15359
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,823,040
Proper Divisor Sum 15,673
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4807343 ← → #4807393

Radix Representation

Decimal 4807367
Binary 10010010101101011000111 (23 bits)
Octal 0o22255307
Hexadecimal 0x495AC7

Divisor Catalog (4)

1 313 15,359 4,807,367

Collatz Trajectory (162 steps to reach 1)

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

4,807,367 14,422,102 7,211,051 21,633,154 10,816,577 32,449,732 16,224,866 8,112,433 24,337,300 12,168,650 6,084,325 18,252,976 9,126,488 4,563,244 2,281,622 1,140,811 3,422,434 1,711,217 5,133,652 2,566,826 1,283,413 3,850,240 1,925,120 962,560 481,280 240,640 120,320 60,160 30,080 15,040 7,520 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

More profiles

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