λ
Harmonic Matrix

4,632,563

13 × 356351
Deficient Odd Composite

4,632,563 has digital root 2. The neighboring primes are 4632527 and 4632577; its proper-divisor sum differs from the starting integer by -4,276,198.

Prime Factor Structure

Factorization String 13 × 356351
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,988,928
Proper Divisor Sum 356,365
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4632527 ← → #4632577

Radix Representation

Decimal 4632563
Binary 10001101010111111110011 (23 bits)
Octal 0o21527763
Hexadecimal 0x46AFF3

Divisor Catalog (4)

1 13 356,351 4,632,563

Collatz Trajectory (193 steps to reach 1)

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

4,632,563 13,897,690 6,948,845 20,846,536 10,423,268 5,211,634 2,605,817 7,817,452 3,908,726 1,954,363 5,863,090 2,931,545 8,794,636 4,397,318 2,198,659 6,595,978 3,297,989 9,893,968 4,946,984 2,473,492 1,236,746 618,373 1,855,120 927,560 463,780 231,890 115,945 347,836 173,918 86,959 260,878 130,439 391,318 195,659 586,978 293,489 880,468 440,234 220,117 660,352 330,176 165,088 82,544 41,272 20,636 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898

More profiles

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