λ
Ratio Atlas

6,572,352

26 × 3 × 34231
Abundant Even Composite

6,572,352 factors as 2^6 × 3 × 34231. Its 28 positive divisors give a proper-divisor sum of 10,817,504, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 34231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 17,389,856
Proper Divisor Sum 10,817,504
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6572351 ← → #6572369

Radix Representation

Decimal 6572352
Binary 11001000100100101000000 (23 bits)
Octal 0o31044500
Hexadecimal 0x644940

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 34,231 68,462 102,693 136,924 205,386 273,848 410,772 547,696 821,544 1,095,392 1,643,088 2,190,784 3,286,176 6,572,352

Collatz Trajectory (59 steps to reach 1)

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

6,572,352 3,286,176 1,643,088 821,544 410,772 205,386 102,693 308,080 154,040 77,020 38,510 19,255 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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