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Atlas › Integer Profiles › Node 15,411,696

15,411,696

24 × 3 × 321077
Abundant Even Composite

15,411,696 factors as 2^4 × 3 × 321077. Its 20 positive divisors give a proper-divisor sum of 24,401,976, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 321077
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 39,813,672
Proper Divisor Sum 24,401,976
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #15411677 ← → #15411703

Radix Representation

Decimal 15411696
Binary 111010110010100111110000 (24 bits)
Octal 0o72624760
Hexadecimal 0xEB29F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 321,077 642,154 963,231 1,284,308 1,926,462 2,568,616 3,852,924 5,137,232 7,705,848 15,411,696

Collatz Trajectory (205 steps to reach 1)

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

15,411,696 7,705,848 3,852,924 1,926,462 963,231 2,889,694 1,444,847 4,334,542 2,167,271 6,501,814 3,250,907 9,752,722 4,876,361 14,629,084 7,314,542 3,657,271 10,971,814 5,485,907 16,457,722 8,228,861 24,686,584 12,343,292 6,171,646 3,085,823 9,257,470 4,628,735 13,886,206 6,943,103 20,829,310 10,414,655 31,243,966 15,621,983 46,865,950 23,432,975 70,298,926 35,149,463 105,448,390 52,724,195 158,172,586 79,086,293 237,258,880 118,629,440 59,314,720 29,657,360 14,828,680 7,414,340 3,707,170 1,853,585 5,560,756 2,780,378 1,390,189 4,170,568 2,085,284 1,042,642 521,321 1,563,964 781,982 390,991 1,172,974 586,487

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