9,436,622

2 × 13² × 27919

9,436,622 factors as 2 × 13^2 × 27919. Its 12 positive divisors give a proper-divisor sum of 5,891,458, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 27919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,328,080

Proper Divisor Sum 5,891,458

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9436619 ← → #9436657

Radix Representation

Decimal	9436622
Binary	100011111111110111001110 (24 bits)
Octal	0o43776716
Hexadecimal	0x8FFDCE

Divisor Catalog (12)

1 2 13 26 169 338 27,919 55,838 362,947 725,894 4,718,311 9,436,622

Collatz Trajectory (163 steps to reach 1)

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

9,436,622 4,718,311 14,154,934 7,077,467 21,232,402 10,616,201 31,848,604 15,924,302 7,962,151 23,886,454 11,943,227 35,829,682 17,914,841 53,744,524 26,872,262 13,436,131 40,308,394 20,154,197 60,462,592 30,231,296 15,115,648 7,557,824 3,778,912 1,889,456 944,728 472,364 236,182 118,091 354,274 177,137 531,412 265,706 132,853 398,560 199,280 99,640 49,820 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152

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