λ
Harmonic Matrix

7,997,345

5 × 1599469
Deficient Odd Composite

7,997,345 has digital root 8. The neighboring primes are 7997333 and 7997351; its proper-divisor sum differs from the starting integer by -6,397,870.

Prime Factor Structure

Factorization String 5 × 1599469
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,596,820
Proper Divisor Sum 1,599,475
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7997333 ← → #7997351

Radix Representation

Decimal 7997345
Binary 11110100000011110100001 (23 bits)
Octal 0o36403641
Hexadecimal 0x7A07A1

Divisor Catalog (4)

1 5 1,599,469 7,997,345

Collatz Trajectory (155 steps to reach 1)

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

7,997,345 23,992,036 11,996,018 5,998,009 17,994,028 8,997,014 4,498,507 13,495,522 6,747,761 20,243,284 10,121,642 5,060,821 15,182,464 7,591,232 3,795,616 1,897,808 948,904 474,452 237,226 118,613 355,840 177,920 88,960 44,480 22,240 11,120 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

More profiles

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