λ
Harmonic Matrix

7,988,197

7 × 1141171
Deficient Odd Composite

7,988,197 has digital root 4. The neighboring primes are 7988177 and 7988203; its proper-divisor sum differs from the starting integer by -6,847,018.

Prime Factor Structure

Factorization String 7 × 1141171
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,129,376
Proper Divisor Sum 1,141,179
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7988177 ← → #7988203

Radix Representation

Decimal 7988197
Binary 11110011110001111100101 (23 bits)
Octal 0o36361745
Hexadecimal 0x79E3E5

Divisor Catalog (4)

1 7 1,141,171 7,988,197

Collatz Trajectory (173 steps to reach 1)

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

7,988,197 23,964,592 11,982,296 5,991,148 2,995,574 1,497,787 4,493,362 2,246,681 6,740,044 3,370,022 1,685,011 5,055,034 2,527,517 7,582,552 3,791,276 1,895,638 947,819 2,843,458 1,421,729 4,265,188 2,132,594 1,066,297 3,198,892 1,599,446 799,723 2,399,170 1,199,585 3,598,756 1,799,378 899,689 2,699,068 1,349,534 674,767 2,024,302 1,012,151 3,036,454 1,518,227 4,554,682 2,277,341 6,832,024 3,416,012 1,708,006 854,003 2,562,010 1,281,005 3,843,016 1,921,508 960,754 480,377 1,441,132 720,566 360,283 1,080,850 540,425 1,621,276 810,638 405,319 1,215,958 607,979 1,823,938

More profiles

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