λ
Harmonic Matrix

9,470,615

5 × 7 × 11 × 17 × 1447
Deficient Odd Composite

9,470,615 has digital root 5. The neighboring primes are 9470597 and 9470627; its proper-divisor sum differs from the starting integer by -3,928,366.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 17 × 1447
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,012,864
Proper Divisor Sum 5,542,249
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9470597 ← → #9470627

Radix Representation

Decimal 9470615
Binary 100100001000001010010111 (24 bits)
Octal 0o44101227
Hexadecimal 0x908297

Divisor Catalog (32)

1 5 7 11 17 35 55 77 85 119 187 385 595 935 1,309 1,447 6,545 7,235 10,129 15,917 24,599 50,645 79,585 111,419 122,995 172,193 270,589 557,095 860,965 1,352,945 1,894,123 9,470,615

Collatz Trajectory (163 steps to reach 1)

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

9,470,615 28,411,846 14,205,923 42,617,770 21,308,885 63,926,656 31,963,328 15,981,664 7,990,832 3,995,416 1,997,708 998,854 499,427 1,498,282 749,141 2,247,424 1,123,712 561,856 280,928 140,464 70,232 35,116 17,558 8,779 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 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

More profiles

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