λ
Harmonic Matrix

5,379,950

2 × 52 × 107599
Deficient Even Composite

5,379,950 has digital root 2. The neighboring primes are 5379947 and 5379971; its proper-divisor sum differs from the starting integer by -753,100.

Prime Factor Structure

Factorization String 2 × 5^2 × 107599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,006,800
Proper Divisor Sum 4,626,850
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5379947 ← → #5379971

Radix Representation

Decimal 5379950
Binary 10100100001011101101110 (23 bits)
Octal 0o24413556
Hexadecimal 0x52176E

Divisor Catalog (12)

1 2 5 10 25 50 107,599 215,198 537,995 1,075,990 2,689,975 5,379,950

Collatz Trajectory (113 steps to reach 1)

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

5,379,950 2,689,975 8,069,926 4,034,963 12,104,890 6,052,445 18,157,336 9,078,668 4,539,334 2,269,667 6,809,002 3,404,501 10,213,504 5,106,752 2,553,376 1,276,688 638,344 319,172 159,586 79,793 239,380 119,690 59,845 179,536 89,768 44,884 22,442 11,221 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

More profiles

← Previous Integer #5,379,949 Browse Full Index Next Integer #5,379,951 →