λ
Harmonic Matrix

4,879,593

32 × 79 × 6863
Deficient Odd Composite

4,879,593 has digital root 9. The neighboring primes are 4879591 and 4879607; its proper-divisor sum differs from the starting integer by -2,620,626.

Prime Factor Structure

Factorization String 3^2 × 79 × 6863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,138,560
Proper Divisor Sum 2,258,967
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4879591 ← → #4879607

Radix Representation

Decimal 4879593
Binary 10010100111010011101001 (23 bits)
Octal 0o22472351
Hexadecimal 0x4A74E9

Divisor Catalog (12)

1 3 9 79 237 711 6,863 20,589 61,767 542,177 1,626,531 4,879,593

Collatz Trajectory (250 steps to reach 1)

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

4,879,593 14,638,780 7,319,390 3,659,695 10,979,086 5,489,543 16,468,630 8,234,315 24,702,946 12,351,473 37,054,420 18,527,210 9,263,605 27,790,816 13,895,408 6,947,704 3,473,852 1,736,926 868,463 2,605,390 1,302,695 3,908,086 1,954,043 5,862,130 2,931,065 8,793,196 4,396,598 2,198,299 6,594,898 3,297,449 9,892,348 4,946,174 2,473,087 7,419,262 3,709,631 11,128,894 5,564,447 16,693,342 8,346,671 25,040,014 12,520,007 37,560,022 18,780,011 56,340,034 28,170,017 84,510,052 42,255,026 21,127,513 63,382,540 31,691,270 15,845,635 47,536,906 23,768,453 71,305,360 35,652,680 17,826,340 8,913,170 4,456,585 13,369,756 6,684,878

More profiles

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