λ
Integer Codex

9,312,735

3 × 5 × 620849
Deficient Odd Composite

For 9,312,735, the 8 positive divisors have a total of 14,900,400. Removing 9,312,735 leaves 5,587,665, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 620849
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,900,400
Proper Divisor Sum 5,587,665
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9312733 ← → #9312739

Radix Representation

Decimal 9312735
Binary 100011100001100111011111 (24 bits)
Octal 0o43414737
Hexadecimal 0x8E19DF

Divisor Catalog (8)

1 3 5 15 620,849 1,862,547 3,104,245 9,312,735

Collatz Trajectory (163 steps to reach 1)

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

9,312,735 27,938,206 13,969,103 41,907,310 20,953,655 62,860,966 31,430,483 94,291,450 47,145,725 141,437,176 70,718,588 35,359,294 17,679,647 53,038,942 26,519,471 79,558,414 39,779,207 119,337,622 59,668,811 179,006,434 89,503,217 268,509,652 134,254,826 67,127,413 201,382,240 100,691,120 50,345,560 25,172,780 12,586,390 6,293,195 18,879,586 9,439,793 28,319,380 14,159,690 7,079,845 21,239,536 10,619,768 5,309,884 2,654,942 1,327,471 3,982,414 1,991,207 5,973,622 2,986,811 8,960,434 4,480,217 13,440,652 6,720,326 3,360,163 10,080,490 5,040,245 15,120,736 7,560,368 3,780,184 1,890,092 945,046 472,523 1,417,570 708,785 2,126,356

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