λ
Harmonic Matrix

6,938,429

6938429
Deficient Odd Prime

6,938,429 has digital root 5. The neighboring primes are 6938423 and 6938441; its proper-divisor sum differs from the starting integer by -6,938,428.

Prime Factor Structure

Factorization String 6938429
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,938,430
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6938423 ← → #6938441

Radix Representation

Decimal 6938429
Binary 11010011101111100111101 (23 bits)
Octal 0o32357475
Hexadecimal 0x69DF3D

Divisor Catalog (2)

Collatz Trajectory (134 steps to reach 1)

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

6,938,429 20,815,288 10,407,644 5,203,822 2,601,911 7,805,734 3,902,867 11,708,602 5,854,301 17,562,904 8,781,452 4,390,726 2,195,363 6,586,090 3,293,045 9,879,136 4,939,568 2,469,784 1,234,892 617,446 308,723 926,170 463,085 1,389,256 694,628 347,314 173,657 520,972 260,486 130,243 390,730 195,365 586,096 293,048 146,524 73,262 36,631 109,894 54,947 164,842 82,421 247,264 123,632 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014

More profiles

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