7,246,746

2 × 3⁵ × 13 × 31 × 37

7,246,746 factors as 2 × 3^5 × 13 × 31 × 37. Its 96 positive divisors give a proper-divisor sum of 11,343,462, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 13 × 31 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 18,590,208

Proper Divisor Sum 11,343,462

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7246727 ← → #7246753

Radix Representation

Decimal	7246746
Binary	11011101001001110011010 (23 bits)
Octal	0o33511632
Hexadecimal	0x6E939A

Divisor Catalog (60 of 96)

1 2 3 6 9 13 18 26 27 31 37 39 54 62 74 78 81 93 111 117 162 186 222 234 243 279 333 351 403 481 486 558 666 702 806 837 962 999 1,053 1,147 1,209 1,443 1,674 1,998 2,106 2,294 2,418 2,511 2,886 2,997 3,159 3,441 3,627 4,329 5,022 5,994 6,318 6,882 7,254 7,533

Collatz Trajectory (111 steps to reach 1)

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

7,246,746 3,623,373 10,870,120 5,435,060 2,717,530 1,358,765 4,076,296 2,038,148 1,019,074 509,537 1,528,612 764,306 382,153 1,146,460 573,230 286,615 859,846 429,923 1,289,770 644,885 1,934,656 967,328 483,664 241,832 120,916 60,458 30,229 90,688 45,344 22,672 11,336 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282

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