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Atlas › Integer Profiles › Node 15,233,696

15,233,696

25 × 43 × 11071
Abundant Even Composite

15,233,696 factors as 2^5 × 43 × 11071. Its 24 positive divisors give a proper-divisor sum of 15,457,888, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^5 × 43 × 11071
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,691,584
Proper Divisor Sum 15,457,888
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #15233681 ← → #15233747

Radix Representation

Decimal 15233696
Binary 111010000111001010100000 (24 bits)
Octal 0o72071240
Hexadecimal 0xE872A0

Divisor Catalog (24)

1 2 4 8 16 32 43 86 172 344 688 1,376 11,071 22,142 44,284 88,568 177,136 354,272 476,053 952,106 1,904,212 3,808,424 7,616,848 15,233,696

Collatz Trajectory (55 steps to reach 1)

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

15,233,696 7,616,848 3,808,424 1,904,212 952,106 476,053 1,428,160 714,080 357,040 178,520 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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