λ
Harmonic Matrix

9,579,003

3 × 7 × 349 × 1307
Deficient Odd Composite

9,579,003 has digital root 6. The neighboring primes are 9578999 and 9579043; its proper-divisor sum differs from the starting integer by -4,508,406.

Prime Factor Structure

Factorization String 3 × 7 × 349 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,649,600
Proper Divisor Sum 5,070,597
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9578999 ← → #9579043

Radix Representation

Decimal 9579003
Binary 100100100010100111111011 (24 bits)
Octal 0o44424773
Hexadecimal 0x9229FB

Divisor Catalog (16)

1 3 7 21 349 1,047 1,307 2,443 3,921 7,329 9,149 27,447 456,143 1,368,429 3,193,001 9,579,003

Collatz Trajectory (194 steps to reach 1)

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

9,579,003 28,737,010 14,368,505 43,105,516 21,552,758 10,776,379 32,329,138 16,164,569 48,493,708 24,246,854 12,123,427 36,370,282 18,185,141 54,555,424 27,277,712 13,638,856 6,819,428 3,409,714 1,704,857 5,114,572 2,557,286 1,278,643 3,835,930 1,917,965 5,753,896 2,876,948 1,438,474 719,237 2,157,712 1,078,856 539,428 269,714 134,857 404,572 202,286 101,143 303,430 151,715 455,146 227,573 682,720 341,360 170,680 85,340 42,670 21,335 64,006 32,003 96,010 48,005 144,016 72,008 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127

More profiles

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