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Atlas › Integer Profiles › Node 7,643,196

7,643,196

22 × 32 × 11 × 19301
Abundant Even Composite

7,643,196 factors as 2^2 × 3^2 × 11 × 19301. Its 36 positive divisors give a proper-divisor sum of 13,434,588, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 19301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,077,784
Proper Divisor Sum 13,434,588
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7643191 ← → #7643197

Radix Representation

Decimal 7643196
Binary 11101001010000000111100 (23 bits)
Octal 0o35120074
Hexadecimal 0x74A03C

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 19,301 38,602 57,903 77,204 115,806 173,709 212,311 231,612 347,418 424,622 636,933 694,836 849,244 1,273,866 1,910,799 2,547,732 3,821,598 7,643,196

Collatz Trajectory (80 steps to reach 1)

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

7,643,196 3,821,598 1,910,799 5,732,398 2,866,199 8,598,598 4,299,299 12,897,898 6,448,949 19,346,848 9,673,424 4,836,712 2,418,356 1,209,178 604,589 1,813,768 906,884 453,442 226,721 680,164 340,082 170,041 510,124 255,062 127,531 382,594 191,297 573,892 286,946 143,473 430,420 215,210 107,605 322,816 161,408 80,704 40,352 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38

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