9,646,731

3² × 73 × 14683

9,646,731 has digital root 9. The neighboring primes are 9646717 and 9646733; its proper-divisor sum differs from the starting integer by -5,167,454.

Prime Factor Structure

Factorization String 3^2 × 73 × 14683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,126,008

Proper Divisor Sum 4,479,277

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9646717 ← → #9646733

Radix Representation

Decimal	9646731
Binary	100100110011001010001011 (24 bits)
Octal	0o44631213
Hexadecimal	0x93328B

Divisor Catalog (12)

1 3 9 73 219 657 14,683 44,049 132,147 1,071,859 3,215,577 9,646,731

Collatz Trajectory (145 steps to reach 1)

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

9,646,731 28,940,194 14,470,097 43,410,292 21,705,146 10,852,573 32,557,720 16,278,860 8,139,430 4,069,715 12,209,146 6,104,573 18,313,720 9,156,860 4,578,430 2,289,215 6,867,646 3,433,823 10,301,470 5,150,735 15,452,206 7,726,103 23,178,310 11,589,155 34,767,466 17,383,733 52,151,200 26,075,600 13,037,800 6,518,900 3,259,450 1,629,725 4,889,176 2,444,588 1,222,294 611,147 1,833,442 916,721 2,750,164 1,375,082 687,541 2,062,624 1,031,312 515,656 257,828 128,914 64,457 193,372 96,686 48,343 145,030 72,515 217,546 108,773 326,320 163,160 81,580 40,790 20,395 61,186

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