λ
Harmonic Matrix

7,435,126

2 × 3717563
Deficient Even Composite

7,435,126 has digital root 1. The neighboring primes are 7435117 and 7435139; its proper-divisor sum differs from the starting integer by -3,717,560.

Prime Factor Structure

Factorization String 2 × 3717563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,152,692
Proper Divisor Sum 3,717,566
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7435117 ← → #7435139

Radix Representation

Decimal 7435126
Binary 11100010111001101110110 (23 bits)
Octal 0o34271566
Hexadecimal 0x717376

Divisor Catalog (4)

1 2 3,717,563 7,435,126

Collatz Trajectory (80 steps to reach 1)

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

7,435,126 3,717,563 11,152,690 5,576,345 16,729,036 8,364,518 4,182,259 12,546,778 6,273,389 18,820,168 9,410,084 4,705,042 2,352,521 7,057,564 3,528,782 1,764,391 5,293,174 2,646,587 7,939,762 3,969,881 11,909,644 5,954,822 2,977,411 8,932,234 4,466,117 13,398,352 6,699,176 3,349,588 1,674,794 837,397 2,512,192 1,256,096 628,048 314,024 157,012 78,506 39,253 117,760 58,880 29,440 14,720 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37

More profiles

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