λ
Harmonic Matrix

7,994,431

43 × 185917
Deficient Odd Composite

7,994,431 has digital root 1. The neighboring primes are 7994407 and 7994443; its proper-divisor sum differs from the starting integer by -7,808,470.

Prime Factor Structure

Factorization String 43 × 185917
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,180,392
Proper Divisor Sum 185,961
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7994407 ← → #7994443

Radix Representation

Decimal 7994431
Binary 11110011111110000111111 (23 bits)
Octal 0o36376077
Hexadecimal 0x79FC3F

Divisor Catalog (4)

1 43 185,917 7,994,431

Collatz Trajectory (217 steps to reach 1)

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

7,994,431 23,983,294 11,991,647 35,974,942 17,987,471 53,962,414 26,981,207 80,943,622 40,471,811 121,415,434 60,707,717 182,123,152 91,061,576 45,530,788 22,765,394 11,382,697 34,148,092 17,074,046 8,537,023 25,611,070 12,805,535 38,416,606 19,208,303 57,624,910 28,812,455 86,437,366 43,218,683 129,656,050 64,828,025 194,484,076 97,242,038 48,621,019 145,863,058 72,931,529 218,794,588 109,397,294 54,698,647 164,095,942 82,047,971 246,143,914 123,071,957 369,215,872 184,607,936 92,303,968 46,151,984 23,075,992 11,537,996 5,768,998 2,884,499 8,653,498 4,326,749 12,980,248 6,490,124 3,245,062 1,622,531 4,867,594 2,433,797 7,301,392 3,650,696 1,825,348

More profiles

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