λ
Ratio Atlas

7,159,572

22 × 32 × 7 × 28411
Abundant Even Composite

7,159,572 factors as 2^2 × 3^2 × 7 × 28411. Its 36 positive divisors give a proper-divisor sum of 13,524,364, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 28411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,683,936
Proper Divisor Sum 13,524,364
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7159541 ← → #7159583

Radix Representation

Decimal 7159572
Binary 11011010011111100010100 (23 bits)
Octal 0o33237424
Hexadecimal 0x6D3F14

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 28,411 56,822 85,233 113,644 170,466 198,877 255,699 340,932 397,754 511,398 596,631 795,508 1,022,796 1,193,262 1,789,893 2,386,524 3,579,786 7,159,572

Collatz Trajectory (103 steps to reach 1)

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

7,159,572 3,579,786 1,789,893 5,369,680 2,684,840 1,342,420 671,210 335,605 1,006,816 503,408 251,704 125,852 62,926 31,463 94,390 47,195 141,586 70,793 212,380 106,190 53,095 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320 1,453,160 726,580 363,290 181,645 544,936 272,468

More profiles

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