7,533,261

3² × 17 × 53 × 929

7,533,261 factors as 3^2 × 17 × 53 × 929. Its 24 positive divisors give a proper-divisor sum of 4,218,219, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 53 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,751,480

Proper Divisor Sum 4,218,219

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7533247 ← → #7533269

Radix Representation

Decimal	7533261
Binary	11100101111001011001101 (23 bits)
Octal	0o34571315
Hexadecimal	0x72F2CD

Divisor Catalog (24)

Collatz Trajectory (111 steps to reach 1)

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

7,533,261 22,599,784 11,299,892 5,649,946 2,824,973 8,474,920 4,237,460 2,118,730 1,059,365 3,178,096 1,589,048 794,524 397,262 198,631 595,894 297,947 893,842 446,921 1,340,764 670,382 335,191 1,005,574 502,787 1,508,362 754,181 2,262,544 1,131,272 565,636 282,818 141,409 424,228 212,114 106,057 318,172 159,086 79,543 238,630 119,315 357,946 178,973 536,920 268,460 134,230 67,115 201,346 100,673 302,020 151,010 75,505 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964

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