λ
Harmonic Matrix

4,520,606

2 × 17 × 31 × 4289
Deficient Even Composite

4,520,606 has digital root 5. The neighboring primes are 4520603 and 4520609; its proper-divisor sum differs from the starting integer by -1,628,092.

Prime Factor Structure

Factorization String 2 × 17 × 31 × 4289
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,413,120
Proper Divisor Sum 2,892,514
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4520603 ← → #4520609

Radix Representation

Decimal 4520606
Binary 10001001111101010011110 (23 bits)
Octal 0o21175236
Hexadecimal 0x44FA9E

Divisor Catalog (16)

1 2 17 31 34 62 527 1,054 4,289 8,578 72,913 132,959 145,826 265,918 2,260,303 4,520,606

Collatz Trajectory (162 steps to reach 1)

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

4,520,606 2,260,303 6,780,910 3,390,455 10,171,366 5,085,683 15,257,050 7,628,525 22,885,576 11,442,788 5,721,394 2,860,697 8,582,092 4,291,046 2,145,523 6,436,570 3,218,285 9,654,856 4,827,428 2,413,714 1,206,857 3,620,572 1,810,286 905,143 2,715,430 1,357,715 4,073,146 2,036,573 6,109,720 3,054,860 1,527,430 763,715 2,291,146 1,145,573 3,436,720 1,718,360 859,180 429,590 214,795 644,386 322,193 966,580 483,290 241,645 724,936 362,468 181,234 90,617 271,852 135,926 67,963 203,890 101,945 305,836 152,918 76,459 229,378 114,689 344,068 172,034

More profiles

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