λ
Harmonic Matrix

4,576,611

3 × 13 × 239 × 491
Deficient Odd Composite

4,576,611 has digital root 3. The neighboring primes are 4576601 and 4576631; its proper-divisor sum differs from the starting integer by -2,540,742.

Prime Factor Structure

Factorization String 3 × 13 × 239 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,612,480
Proper Divisor Sum 2,035,869
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4576601 ← → #4576631

Radix Representation

Decimal 4576611
Binary 10001011101010101100011 (23 bits)
Octal 0o21352543
Hexadecimal 0x45D563

Divisor Catalog (16)

1 3 13 39 239 491 717 1,473 3,107 6,383 9,321 19,149 117,349 352,047 1,525,537 4,576,611

Collatz Trajectory (105 steps to reach 1)

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

4,576,611 13,729,834 6,864,917 20,594,752 10,297,376 5,148,688 2,574,344 1,287,172 643,586 321,793 965,380 482,690 241,345 724,036 362,018 181,009 543,028 271,514 135,757 407,272 203,636 101,818 50,909 152,728 76,364 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809

More profiles

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