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Atlas › Integer Profiles › Node 7,535,704

7,535,704

23 × 11 × 19 × 4507
Abundant Even Composite

7,535,704 factors as 2^3 × 11 × 19 × 4507. Its 32 positive divisors give a proper-divisor sum of 8,693,096, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 19 × 4507
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,228,800
Proper Divisor Sum 8,693,096
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7535701 ← → #7535713

Radix Representation

Decimal 7535704
Binary 11100101111110001011000 (23 bits)
Octal 0o34576130
Hexadecimal 0x72FC58

Divisor Catalog (32)

1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1,672 4,507 9,014 18,028 36,056 49,577 85,633 99,154 171,266 198,308 342,532 396,616 685,064 941,963 1,883,926 3,767,852 7,535,704

Collatz Trajectory (155 steps to reach 1)

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

7,535,704 3,767,852 1,883,926 941,963 2,825,890 1,412,945 4,238,836 2,119,418 1,059,709 3,179,128 1,589,564 794,782 397,391 1,192,174 596,087 1,788,262 894,131 2,682,394 1,341,197 4,023,592 2,011,796 1,005,898 502,949 1,508,848 754,424 377,212 188,606 94,303 282,910 141,455 424,366 212,183 636,550 318,275 954,826 477,413 1,432,240 716,120 358,060 179,030 89,515 268,546 134,273 402,820 201,410 100,705 302,116 151,058 75,529 226,588 113,294 56,647 169,942 84,971 254,914 127,457 382,372 191,186 95,593 286,780

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