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8,971,464

23 × 3 × 37 × 10103
Abundant Even Composite

8,971,464 factors as 2^3 × 3 × 37 × 10103. Its 32 positive divisors give a proper-divisor sum of 14,065,656, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 10103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,037,120
Proper Divisor Sum 14,065,656
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8971447 ← → #8971471

Radix Representation

Decimal 8971464
Binary 100010001110010011001000 (24 bits)
Octal 0o42162310
Hexadecimal 0x88E4C8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 10,103 20,206 30,309 40,412 60,618 80,824 121,236 242,472 373,811 747,622 1,121,433 1,495,244 2,242,866 2,990,488 4,485,732 8,971,464

Collatz Trajectory (88 steps to reach 1)

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

8,971,464 4,485,732 2,242,866 1,121,433 3,364,300 1,682,150 841,075 2,523,226 1,261,613 3,784,840 1,892,420 946,210 473,105 1,419,316 709,658 354,829 1,064,488 532,244 266,122 133,061 399,184 199,592 99,796 49,898 24,949 74,848 37,424 18,712 9,356 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

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