6,631,072

2⁵ × 7² × 4229

6,631,072 has the prime decomposition 2^5 × 7^2 × 4229. Its 3 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 4229

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,189,930

Proper Divisor Sum 8,558,858

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6631067 ← → #6631081

Radix Representation

Decimal	6631072
Binary	11001010010111010100000 (23 bits)
Octal	0o31227240
Hexadecimal	0x652EA0

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1,568 4,229 8,458 16,916 29,603 33,832 59,206 67,664 118,412 135,328 207,221 236,824 414,442 473,648 828,884 947,296 1,657,768 3,315,536 6,631,072

Collatz Trajectory (59 steps to reach 1)

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

6,631,072 3,315,536 1,657,768 828,884 414,442 207,221 621,664 310,832 155,416 77,708 38,854 19,427 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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