λ
Harmonic Matrix

9,132,615

33 × 5 × 61 × 1109
Deficient Odd Composite

9,132,615 has digital root 9. The neighboring primes are 9132611 and 9132619; its proper-divisor sum differs from the starting integer by -1,748,430.

Prime Factor Structure

Factorization String 3^3 × 5 × 61 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,516,800
Proper Divisor Sum 7,384,185
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9132611 ← → #9132619

Radix Representation

Decimal 9132615
Binary 100010110101101001000111 (24 bits)
Octal 0o42655107
Hexadecimal 0x8B5A47

Divisor Catalog (32)

1 3 5 9 15 27 45 61 135 183 305 549 915 1,109 1,647 2,745 3,327 5,545 8,235 9,981 16,635 29,943 49,905 67,649 149,715 202,947 338,245 608,841 1,014,735 1,826,523 3,044,205 9,132,615

Collatz Trajectory (80 steps to reach 1)

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

9,132,615 27,397,846 13,698,923 41,096,770 20,548,385 61,645,156 30,822,578 15,411,289 46,233,868 23,116,934 11,558,467 34,675,402 17,337,701 52,013,104 26,006,552 13,003,276 6,501,638 3,250,819 9,752,458 4,876,229 14,628,688 7,314,344 3,657,172 1,828,586 914,293 2,742,880 1,371,440 685,720 342,860 171,430 85,715 257,146 128,573 385,720 192,860 96,430 48,215 144,646 72,323 216,970 108,485 325,456 162,728 81,364 40,682 20,341 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610

More profiles

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