11,624,772

2² × 3 × 968731

11,624,772 factors as 2^2 × 3 × 968731. Its 12 positive divisors give a proper-divisor sum of 15,499,724, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 968731

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,124,496

Proper Divisor Sum 15,499,724

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #11624761 ← → #11624803

Radix Representation

Decimal	11624772
Binary	101100010110000101000100 (24 bits)
Octal	0o54260504
Hexadecimal	0xB16144

Divisor Catalog (12)

1 2 3 4 6 12 968,731 1,937,462 2,906,193 3,874,924 5,812,386 11,624,772

Collatz Trajectory (153 steps to reach 1)

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

11,624,772 5,812,386 2,906,193 8,718,580 4,359,290 2,179,645 6,538,936 3,269,468 1,634,734 817,367 2,452,102 1,226,051 3,678,154 1,839,077 5,517,232 2,758,616 1,379,308 689,654 344,827 1,034,482 517,241 1,551,724 775,862 387,931 1,163,794 581,897 1,745,692 872,846 436,423 1,309,270 654,635 1,963,906 981,953 2,945,860 1,472,930 736,465 2,209,396 1,104,698 552,349 1,657,048 828,524 414,262 207,131 621,394 310,697 932,092 466,046 233,023 699,070 349,535 1,048,606 524,303 1,572,910 786,455 2,359,366 1,179,683 3,539,050 1,769,525 5,308,576 2,654,288

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