λ
Harmonic Matrix

7,428,259

19 × 390961
Deficient Odd Composite

7,428,259 has digital root 1. The neighboring primes are 7428227 and 7428271; its proper-divisor sum differs from the starting integer by -7,037,278.

Prime Factor Structure

Factorization String 19 × 390961
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,819,240
Proper Divisor Sum 390,981
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7428227 ← → #7428271

Radix Representation

Decimal 7428259
Binary 11100010101100010100011 (23 bits)
Octal 0o34254243
Hexadecimal 0x7158A3

Divisor Catalog (4)

1 19 390,961 7,428,259

Collatz Trajectory (204 steps to reach 1)

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

7,428,259 22,284,778 11,142,389 33,427,168 16,713,584 8,356,792 4,178,396 2,089,198 1,044,599 3,133,798 1,566,899 4,700,698 2,350,349 7,051,048 3,525,524 1,762,762 881,381 2,644,144 1,322,072 661,036 330,518 165,259 495,778 247,889 743,668 371,834 185,917 557,752 278,876 139,438 69,719 209,158 104,579 313,738 156,869 470,608 235,304 117,652 58,826 29,413 88,240 44,120 22,060 11,030 5,515 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856

More profiles

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