λ
Harmonic Matrix

9,376,829

7 × 11 × 47 × 2591
Deficient Odd Composite

9,376,829 has digital root 8. The neighboring primes are 9376793 and 9376841; its proper-divisor sum differs from the starting integer by -6,809,722.

Prime Factor Structure

Factorization String 7 × 11 × 47 × 2591
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,943,936
Proper Divisor Sum 2,567,107
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9376793 ← → #9376841

Radix Representation

Decimal 9376829
Binary 100011110001010000111101 (24 bits)
Octal 0o43612075
Hexadecimal 0x8F143D

Divisor Catalog (16)

1 7 11 47 77 329 517 2,591 3,619 18,137 28,501 121,777 199,507 852,439 1,339,547 9,376,829

Collatz Trajectory (75 steps to reach 1)

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

9,376,829 28,130,488 14,065,244 7,032,622 3,516,311 10,548,934 5,274,467 15,823,402 7,911,701 23,735,104 11,867,552 5,933,776 2,966,888 1,483,444 741,722 370,861 1,112,584 556,292 278,146 139,073 417,220 208,610 104,305 312,916 156,458 78,229 234,688 117,344 58,672 29,336 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46

More profiles

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