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Atlas › Integer Profiles › Node 7,536,151

7,536,151

72 × 17 × 83 × 109
Deficient Odd Composite

7,536,151 factors as 7^2 × 17 × 83 × 109. Its 24 positive divisors give a proper-divisor sum of 1,944,089, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 7^2 × 17 × 83 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,480,240
Proper Divisor Sum 1,944,089
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7536149 ← → #7536167

Radix Representation

Decimal 7536151
Binary 11100101111111000010111 (23 bits)
Octal 0o34577027
Hexadecimal 0x72FE17

Divisor Catalog (24)

1 7 17 49 83 109 119 581 763 833 1,411 1,853 4,067 5,341 9,047 9,877 12,971 63,329 69,139 90,797 153,799 443,303 1,076,593 7,536,151

Collatz Trajectory (111 steps to reach 1)

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

7,536,151 22,608,454 11,304,227 33,912,682 16,956,341 50,869,024 25,434,512 12,717,256 6,358,628 3,179,314 1,589,657 4,768,972 2,384,486 1,192,243 3,576,730 1,788,365 5,365,096 2,682,548 1,341,274 670,637 2,011,912 1,005,956 502,978 251,489 754,468 377,234 188,617 565,852 282,926 141,463 424,390 212,195 636,586 318,293 954,880 477,440 238,720 119,360 59,680 29,840 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330

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