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Atlas › Integer Profiles › Node 11,617,216

11,617,216

26 × 13 × 13963
Abundant Even Composite

11,617,216 factors as 2^6 × 13 × 13963. Its 28 positive divisors give a proper-divisor sum of 13,210,776, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 13963
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 24,827,992
Proper Divisor Sum 13,210,776
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11617201 ← → #11617217

Radix Representation

Decimal 11617216
Binary 101100010100001111000000 (24 bits)
Octal 0o54241700
Hexadecimal 0xB143C0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 13,963 27,926 55,852 111,704 181,519 223,408 363,038 446,816 726,076 893,632 1,452,152 2,904,304 5,808,608 11,617,216

Collatz Trajectory (140 steps to reach 1)

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

11,617,216 5,808,608 2,904,304 1,452,152 726,076 363,038 181,519 544,558 272,279 816,838 408,419 1,225,258 612,629 1,837,888 918,944 459,472 229,736 114,868 57,434 28,717 86,152 43,076 21,538 10,769 32,308 16,154 8,077 24,232 12,116 6,058 3,029 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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