λ
Harmonic Matrix

9,412,474

2 × 23 × 73 × 2803
Deficient Even Composite

9,412,474 has digital root 4. The neighboring primes are 9412471 and 9412489; its proper-divisor sum differs from the starting integer by -3,885,236.

Prime Factor Structure

Factorization String 2 × 23 × 73 × 2803
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,939,712
Proper Divisor Sum 5,527,238
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9412471 ← → #9412489

Radix Representation

Decimal 9412474
Binary 100011111001111101111010 (24 bits)
Octal 0o43717572
Hexadecimal 0x8F9F7A

Divisor Catalog (16)

1 2 23 46 73 146 1,679 2,803 3,358 5,606 64,469 128,938 204,619 409,238 4,706,237 9,412,474

Collatz Trajectory (132 steps to reach 1)

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

9,412,474 4,706,237 14,118,712 7,059,356 3,529,678 1,764,839 5,294,518 2,647,259 7,941,778 3,970,889 11,912,668 5,956,334 2,978,167 8,934,502 4,467,251 13,401,754 6,700,877 20,102,632 10,051,316 5,025,658 2,512,829 7,538,488 3,769,244 1,884,622 942,311 2,826,934 1,413,467 4,240,402 2,120,201 6,360,604 3,180,302 1,590,151 4,770,454 2,385,227 7,155,682 3,577,841 10,733,524 5,366,762 2,683,381 8,050,144 4,025,072 2,012,536 1,006,268 503,134 251,567 754,702 377,351 1,132,054 566,027 1,698,082 849,041 2,547,124 1,273,562 636,781 1,910,344 955,172 477,586 238,793 716,380 358,190

More profiles

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