9,603,776

2⁶ × 7 × 13 × 17 × 97

9,603,776 factors as 2^6 × 7 × 13 × 17 × 97. Its 112 positive divisors give a proper-divisor sum of 15,487,360, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 17 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 25,091,136

Proper Divisor Sum 15,487,360

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9603773 ← → #9603791

Radix Representation

Decimal	9603776
Binary	100100101000101011000000 (24 bits)
Octal	0o44505300
Hexadecimal	0x928AC0

Divisor Catalog (60 of 112)

1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 97 104 112 119 136 182 194 208 221 224 238 272 364 388 416 442 448 476 544 679 728 776 832 884 952 1,088 1,261 1,358 1,456 1,547 1,552 1,649 1,768 1,904 2,522 2,716 2,912 3,094 3,104 3,298 3,536 3,808

Collatz Trajectory (119 steps to reach 1)

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

9,603,776 4,801,888 2,400,944 1,200,472 600,236 300,118 150,059 450,178 225,089 675,268 337,634 168,817 506,452 253,226 126,613 379,840 189,920 94,960 47,480 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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