λ
Harmonic Matrix

1,525,105

5 × 305021
Deficient Odd Composite

1,525,105 has digital root 1. The neighboring primes are 1525099 and 1525109; its proper-divisor sum differs from the starting integer by -1,220,078.

Prime Factor Structure

Factorization String 5 × 305021
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,830,132
Proper Divisor Sum 305,027
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1525099 ← → #1525109

Radix Representation

Decimal 1525105
Binary 101110100010101110001 (21 bits)
Octal 0o5642561
Hexadecimal 0x174571

Divisor Catalog (4)

1 5 305,021 1,525,105

Collatz Trajectory (150 steps to reach 1)

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

1,525,105 4,575,316 2,287,658 1,143,829 3,431,488 1,715,744 857,872 428,936 214,468 107,234 53,617 160,852 80,426 40,213 120,640 60,320 30,160 15,080 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 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 91 274

More profiles

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