λ
Harmonic Matrix

9,524,537

11 × 865867
Deficient Odd Composite

9,524,537 has digital root 8. The neighboring primes are 9524531 and 9524563; its proper-divisor sum differs from the starting integer by -8,658,658.

Prime Factor Structure

Factorization String 11 × 865867
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,390,416
Proper Divisor Sum 865,879
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9524531 ← → #9524563

Radix Representation

Decimal 9524537
Binary 100100010101010100111001 (24 bits)
Octal 0o44252471
Hexadecimal 0x915539

Divisor Catalog (4)

1 11 865,867 9,524,537

Collatz Trajectory (238 steps to reach 1)

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

9,524,537 28,573,612 14,286,806 7,143,403 21,430,210 10,715,105 32,145,316 16,072,658 8,036,329 24,108,988 12,054,494 6,027,247 18,081,742 9,040,871 27,122,614 13,561,307 40,683,922 20,341,961 61,025,884 30,512,942 15,256,471 45,769,414 22,884,707 68,654,122 34,327,061 102,981,184 51,490,592 25,745,296 12,872,648 6,436,324 3,218,162 1,609,081 4,827,244 2,413,622 1,206,811 3,620,434 1,810,217 5,430,652 2,715,326 1,357,663 4,072,990 2,036,495 6,109,486 3,054,743 9,164,230 4,582,115 13,746,346 6,873,173 20,619,520 10,309,760 5,154,880 2,577,440 1,288,720 644,360 322,180 161,090 80,545 241,636 120,818 60,409

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