λ
Harmonic Matrix

5,087,722

2 × 37 × 197 × 349
Deficient Even Composite

5,087,722 has digital root 4. The neighboring primes are 5087713 and 5087741; its proper-divisor sum differs from the starting integer by -2,275,244.

Prime Factor Structure

Factorization String 2 × 37 × 197 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,900,200
Proper Divisor Sum 2,812,478
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5087713 ← → #5087741

Radix Representation

Decimal 5087722
Binary 10011011010000111101010 (23 bits)
Octal 0o23320752
Hexadecimal 0x4DA1EA

Divisor Catalog (16)

1 2 37 74 197 349 394 698 7,289 12,913 14,578 25,826 68,753 137,506 2,543,861 5,087,722

Collatz Trajectory (56 steps to reach 1)

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

5,087,722 2,543,861 7,631,584 3,815,792 1,907,896 953,948 476,974 238,487 715,462 357,731 1,073,194 536,597 1,609,792 804,896 402,448 201,224 100,612 50,306 25,153 75,460 37,730 18,865 56,596 28,298 14,149 42,448 21,224 10,612 5,306 2,653 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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