88,310,572

2² × 7 × 3153949

88,310,572 factors as 2^2 × 7 × 3153949. Its 12 positive divisors give a proper-divisor sum of 88,310,628, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 3153949

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 176,621,200

Proper Divisor Sum 88,310,628

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #88310533 ← → #88310641

Radix Representation

Decimal	88310572
Binary	101010000111000001100101100 (27 bits)
Octal	0o520701454
Hexadecimal	0x543832C

Divisor Catalog (12)

1 2 4 7 14 28 3,153,949 6,307,898 12,615,796 22,077,643 44,155,286 88,310,572

Collatz Trajectory (99 steps to reach 1)

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

88,310,572 44,155,286 22,077,643 66,232,930 33,116,465 99,349,396 49,674,698 24,837,349 74,512,048 37,256,024 18,628,012 9,314,006 4,657,003 13,971,010 6,985,505 20,956,516 10,478,258 5,239,129 15,717,388 7,858,694 3,929,347 11,788,042 5,894,021 17,682,064 8,841,032 4,420,516 2,210,258 1,105,129 3,315,388 1,657,694 828,847 2,486,542 1,243,271 3,729,814 1,864,907 5,594,722 2,797,361 8,392,084 4,196,042 2,098,021 6,294,064 3,147,032 1,573,516 786,758 393,379 1,180,138 590,069 1,770,208 885,104 442,552 221,276 110,638 55,319 165,958 82,979 248,938 124,469 373,408 186,704 93,352

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