2,555,241

3 × 13 × 65519

2,555,241 has digital root 6. The neighboring primes are 2555233 and 2555251; its proper-divisor sum differs from the starting integer by -1,441,362.

Prime Factor Structure

Factorization String 3 × 13 × 65519

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,669,120

Proper Divisor Sum 1,113,879

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2555233 ← → #2555251

Radix Representation

Decimal	2555241
Binary	1001101111110101101001 (22 bits)
Octal	0o11576551
Hexadecimal	0x26FD69

Divisor Catalog (8)

1 3 13 39 65,519 196,557 851,747 2,555,241

Collatz Trajectory (112 steps to reach 1)

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

2,555,241 7,665,724 3,832,862 1,916,431 5,749,294 2,874,647 8,623,942 4,311,971 12,935,914 6,467,957 19,403,872 9,701,936 4,850,968 2,425,484 1,212,742 606,371 1,819,114 909,557 2,728,672 1,364,336 682,168 341,084 170,542 85,271 255,814 127,907 383,722 191,861 575,584 287,792 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704

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