λ
Harmonic Matrix

7,715,571

3 × 857 × 3001
Deficient Odd Composite

7,715,571 has digital root 6. The neighboring primes are 7715563 and 7715579; its proper-divisor sum differs from the starting integer by -5,128,278.

Prime Factor Structure

Factorization String 3 × 857 × 3001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,302,864
Proper Divisor Sum 2,587,293
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7715563 ← → #7715579

Radix Representation

Decimal 7715571
Binary 11101011011101011110011 (23 bits)
Octal 0o35335363
Hexadecimal 0x75BAF3

Divisor Catalog (8)

1 3 857 2,571 3,001 9,003 2,571,857 7,715,571

Collatz Trajectory (124 steps to reach 1)

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

7,715,571 23,146,714 11,573,357 34,720,072 17,360,036 8,680,018 4,340,009 13,020,028 6,510,014 3,255,007 9,765,022 4,882,511 14,647,534 7,323,767 21,971,302 10,985,651 32,956,954 16,478,477 49,435,432 24,717,716 12,358,858 6,179,429 18,538,288 9,269,144 4,634,572 2,317,286 1,158,643 3,475,930 1,737,965 5,213,896 2,606,948 1,303,474 651,737 1,955,212 977,606 488,803 1,466,410 733,205 2,199,616 1,099,808 549,904 274,952 137,476 68,738 34,369 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158

More profiles

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