42,613,528

2³ × 29 × 83 × 2213

42,613,528 factors as 2^3 × 29 × 83 × 2213. Its 32 positive divisors give a proper-divisor sum of 41,075,672, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 83 × 2213

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 83,689,200

Proper Divisor Sum 41,075,672

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42613513 ← → #42613567

Radix Representation

Decimal	42613528
Binary	10100010100011101100011000 (26 bits)
Octal	0o242435430
Hexadecimal	0x28A3B18

Divisor Catalog (32)

Collatz Trajectory (191 steps to reach 1)

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

42,613,528 21,306,764 10,653,382 5,326,691 15,980,074 7,990,037 23,970,112 11,985,056 5,992,528 2,996,264 1,498,132 749,066 374,533 1,123,600 561,800 280,900 140,450 70,225 210,676 105,338 52,669 158,008 79,004 39,502 19,751 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252

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