λ
Harmonic Matrix

5,521,618

2 × 1103 × 2503
Deficient Even Composite

5,521,618 has digital root 1. The neighboring primes are 5521603 and 5521631; its proper-divisor sum differs from the starting integer by -2,749,988.

Prime Factor Structure

Factorization String 2 × 1103 × 2503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,293,248
Proper Divisor Sum 2,771,630
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5521603 ← → #5521631

Radix Representation

Decimal 5521618
Binary 10101000100000011010010 (23 bits)
Octal 0o25040322
Hexadecimal 0x5440D2

Divisor Catalog (8)

1 2 1,103 2,206 2,503 5,006 2,760,809 5,521,618

Collatz Trajectory (157 steps to reach 1)

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

5,521,618 2,760,809 8,282,428 4,141,214 2,070,607 6,211,822 3,105,911 9,317,734 4,658,867 13,976,602 6,988,301 20,964,904 10,482,452 5,241,226 2,620,613 7,861,840 3,930,920 1,965,460 982,730 491,365 1,474,096 737,048 368,524 184,262 92,131 276,394 138,197 414,592 207,296 103,648 51,824 25,912 12,956 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840

More profiles

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