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Atlas › Integer Profiles › Node 8,938,818

8,938,818

2 × 32 × 7 × 61 × 1163
Abundant Even Composite

8,938,818 factors as 2 × 3^2 × 7 × 61 × 1163. Its 48 positive divisors give a proper-divisor sum of 13,577,598, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 61 × 1163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,516,416
Proper Divisor Sum 13,577,598
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8938817 ← → #8938823

Radix Representation

Decimal 8938818
Binary 100010000110010101000010 (24 bits)
Octal 0o42062502
Hexadecimal 0x886542

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1,098 1,163 1,281 2,326 2,562 3,489 3,843 6,978 7,686 8,141 10,467 16,282 20,934 24,423 48,846 70,943 73,269 141,886 146,538 212,829 425,658 496,601 638,487 993,202 1,276,974 1,489,803 2,979,606 4,469,409 8,938,818

Collatz Trajectory (124 steps to reach 1)

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

8,938,818 4,469,409 13,408,228 6,704,114 3,352,057 10,056,172 5,028,086 2,514,043 7,542,130 3,771,065 11,313,196 5,656,598 2,828,299 8,484,898 4,242,449 12,727,348 6,363,674 3,181,837 9,545,512 4,772,756 2,386,378 1,193,189 3,579,568 1,789,784 894,892 447,446 223,723 671,170 335,585 1,006,756 503,378 251,689 755,068 377,534 188,767 566,302 283,151 849,454 424,727 1,274,182 637,091 1,911,274 955,637 2,866,912 1,433,456 716,728 358,364 179,182 89,591 268,774 134,387 403,162 201,581 604,744 302,372 151,186 75,593 226,780 113,390 56,695

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