9,242,712

2³ × 3² × 31 × 41 × 101

9,242,712 factors as 2^3 × 3^2 × 31 × 41 × 101. Its 96 positive divisors give a proper-divisor sum of 17,489,448, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 31 × 41 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 26,732,160

Proper Divisor Sum 17,489,448

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9242707 ← → #9242719

Radix Representation

Decimal	9242712
Binary	100011010000100001011000 (24 bits)
Octal	0o43204130
Hexadecimal	0x8D0858

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 82 93 101 123 124 164 186 202 246 248 279 303 328 369 372 404 492 558 606 738 744 808 909 984 1,116 1,212 1,271 1,476 1,818 2,232 2,424 2,542 2,952 3,131 3,636 3,813 4,141 5,084 6,262 7,272 7,626 8,282 9,393 10,168 11,439

Collatz Trajectory (75 steps to reach 1)

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

9,242,712 4,621,356 2,310,678 1,155,339 3,466,018 1,733,009 5,199,028 2,599,514 1,299,757 3,899,272 1,949,636 974,818 487,409 1,462,228 731,114 365,557 1,096,672 548,336 274,168 137,084 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272

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