9,735,440

2⁴ × 5 × 11 × 13 × 23 × 37

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 13 × 23 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 28,498,176

Proper Divisor Sum 18,762,736

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9735437 ← → #9735469

Radix Representation

Decimal	9735440
Binary	100101001000110100010000 (24 bits)
Octal	0o45106420
Hexadecimal	0x948D10

Divisor Catalog (60 of 160)

1 2 4 5 8 10 11 13 16 20 22 23 26 37 40 44 46 52 55 65 74 80 88 92 104 110 115 130 143 148 176 184 185 208 220 230 253 260 286 296 299 368 370 407 440 460 481 506 520 572 592 598 715 740 814 851 880 920 962 1,012

Collatz Trajectory (163 steps to reach 1)

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

9,735,440 4,867,720 2,433,860 1,216,930 608,465 1,825,396 912,698 456,349 1,369,048 684,524 342,262 171,131 513,394 256,697 770,092 385,046 192,523 577,570 288,785 866,356 433,178 216,589 649,768 324,884 162,442 81,221 243,664 121,832 60,916 30,458 15,229 45,688 22,844 11,422 5,711 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

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