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Atlas › Integer Profiles › Node 4,531,344

4,531,344

24 × 3 × 67 × 1409
Abundant Even Composite

4,531,344 factors as 2^4 × 3 × 67 × 1409. Its 40 positive divisors give a proper-divisor sum of 7,357,776, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 67 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,889,120
Proper Divisor Sum 7,357,776
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4531339 ← → #4531357

Radix Representation

Decimal 4531344
Binary 10001010010010010010000 (23 bits)
Octal 0o21222220
Hexadecimal 0x452490

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1,072 1,409 1,608 2,818 3,216 4,227 5,636 8,454 11,272 16,908 22,544 33,816 67,632 94,403 188,806 283,209 377,612 566,418 755,224 1,132,836 1,510,448 2,265,672 4,531,344

Collatz Trajectory (87 steps to reach 1)

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

4,531,344 2,265,672 1,132,836 566,418 283,209 849,628 424,814 212,407 637,222 318,611 955,834 477,917 1,433,752 716,876 358,438 179,219 537,658 268,829 806,488 403,244 201,622 100,811 302,434 151,217 453,652 226,826 113,413 340,240 170,120 85,060 42,530 21,265 63,796 31,898 15,949 47,848 23,924 11,962 5,981 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800

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