6,972,648

2³ × 3 × 290527

6,972,648 factors as 2^3 × 3 × 290527. Its 16 positive divisors give a proper-divisor sum of 10,459,032, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 290527

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,431,680

Proper Divisor Sum 10,459,032

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6972643 ← → #6972649

Radix Representation

Decimal	6972648
Binary	11010100110010011101000 (23 bits)
Octal	0o32462350
Hexadecimal	0x6A64E8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 290,527 581,054 871,581 1,162,108 1,743,162 2,324,216 3,486,324 6,972,648

Collatz Trajectory (147 steps to reach 1)

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

6,972,648 3,486,324 1,743,162 871,581 2,614,744 1,307,372 653,686 326,843 980,530 490,265 1,470,796 735,398 367,699 1,103,098 551,549 1,654,648 827,324 413,662 206,831 620,494 310,247 930,742 465,371 1,396,114 698,057 2,094,172 1,047,086 523,543 1,570,630 785,315 2,355,946 1,177,973 3,533,920 1,766,960 883,480 441,740 220,870 110,435 331,306 165,653 496,960 248,480 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206

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