λ
Harmonic Matrix

7,557,997

7557997
Deficient Odd Prime

7,557,997 has digital root 4. The neighboring primes are 7557989 and 7558043; its proper-divisor sum differs from the starting integer by -7,557,996.

Prime Factor Structure

Factorization String 7557997
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,557,998
Proper Divisor Sum 1
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7557989 ← → #7558043

Radix Representation

Decimal 7557997
Binary 11100110101001101101101 (23 bits)
Octal 0o34651555
Hexadecimal 0x73536D

Divisor Catalog (2)

Collatz Trajectory (248 steps to reach 1)

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

7,557,997 22,673,992 11,336,996 5,668,498 2,834,249 8,502,748 4,251,374 2,125,687 6,377,062 3,188,531 9,565,594 4,782,797 14,348,392 7,174,196 3,587,098 1,793,549 5,380,648 2,690,324 1,345,162 672,581 2,017,744 1,008,872 504,436 252,218 126,109 378,328 189,164 94,582 47,291 141,874 70,937 212,812 106,406 53,203 159,610 79,805 239,416 119,708 59,854 29,927 89,782 44,891 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676 127,838 63,919 191,758 95,879 287,638

More profiles

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