λ
Harmonic Matrix

3,048,901

3048901
Deficient Odd Prime

3,048,901 has digital root 7. The neighboring primes are 3048893 and 3048917; its proper-divisor sum differs from the starting integer by -3,048,900.

Prime Factor Structure

Factorization String 3048901
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,048,902
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3048893 ← → #3048917

Radix Representation

Decimal 3048901
Binary 1011101000010111000101 (22 bits)
Octal 0o13502705
Hexadecimal 0x2E85C5

Divisor Catalog (2)

Collatz Trajectory (151 steps to reach 1)

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

3,048,901 9,146,704 4,573,352 2,286,676 1,143,338 571,669 1,715,008 857,504 428,752 214,376 107,188 53,594 26,797 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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