λ
Harmonic Matrix

7,397,417

1063 × 6959
Deficient Odd Composite

7,397,417 has digital root 2. The neighboring primes are 7397399 and 7397443; its proper-divisor sum differs from the starting integer by -7,389,394.

Prime Factor Structure

Factorization String 1063 × 6959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,405,440
Proper Divisor Sum 8,023
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7397399 ← → #7397443

Radix Representation

Decimal 7397417
Binary 11100001110000000101001 (23 bits)
Octal 0o34160051
Hexadecimal 0x70E029

Divisor Catalog (4)

1 1,063 6,959 7,397,417

Collatz Trajectory (142 steps to reach 1)

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

7,397,417 22,192,252 11,096,126 5,548,063 16,644,190 8,322,095 24,966,286 12,483,143 37,449,430 18,724,715 56,174,146 28,087,073 84,261,220 42,130,610 21,065,305 63,195,916 31,597,958 15,798,979 47,396,938 23,698,469 71,095,408 35,547,704 17,773,852 8,886,926 4,443,463 13,330,390 6,665,195 19,995,586 9,997,793 29,993,380 14,996,690 7,498,345 22,495,036 11,247,518 5,623,759 16,871,278 8,435,639 25,306,918 12,653,459 37,960,378 18,980,189 56,940,568 28,470,284 14,235,142 7,117,571 21,352,714 10,676,357 32,029,072 16,014,536 8,007,268 4,003,634 2,001,817 6,005,452 3,002,726 1,501,363 4,504,090 2,252,045 6,756,136 3,378,068 1,689,034

More profiles

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