10,242,960

2⁴ × 3 × 5 × 7² × 13 × 67

10,242,960 factors as 2^4 × 3 × 5 × 7^2 × 13 × 67. Its 240 positive divisors give a proper-divisor sum of 30,129,456, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7^2 × 13 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 40,372,416

Proper Divisor Sum 30,129,456

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #10242943 ← → #10242961

Radix Representation

Decimal	10242960
Binary	100111000100101110010000 (24 bits)
Octal	0o47045620
Hexadecimal	0x9C4B90

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 49 52 56 60 65 67 70 78 80 84 91 98 104 105 112 120 130 134 140 147 156 168 182 195 196 201 208 210 240 245 260 268 273 280 294

Collatz Trajectory (101 steps to reach 1)

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

10,242,960 5,121,480 2,560,740 1,280,370 640,185 1,920,556 960,278 480,139 1,440,418 720,209 2,160,628 1,080,314 540,157 1,620,472 810,236 405,118 202,559 607,678 303,839 911,518 455,759 1,367,278 683,639 2,050,918 1,025,459 3,076,378 1,538,189 4,614,568 2,307,284 1,153,642 576,821 1,730,464 865,232 432,616 216,308 108,154 54,077 162,232 81,116 40,558 20,279 60,838 30,419 91,258 45,629 136,888 68,444 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829

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