λ
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Atlas › Integer Profiles › Node 11,443,256

11,443,256

23 × 11 × 109 × 1193
Abundant Even Composite

11,443,256 factors as 2^3 × 11 × 109 × 1193. Its 32 positive divisors give a proper-divisor sum of 12,197,944, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 109 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,641,200
Proper Divisor Sum 12,197,944
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11443253 ← → #11443277

Radix Representation

Decimal 11443256
Binary 101011101001110000111000 (24 bits)
Octal 0o53516070
Hexadecimal 0xAE9C38

Divisor Catalog (32)

1 2 4 8 11 22 44 88 109 218 436 872 1,193 1,199 2,386 2,398 4,772 4,796 9,544 9,592 13,123 26,246 52,492 104,984 130,037 260,074 520,148 1,040,296 1,430,407 2,860,814 5,721,628 11,443,256

Collatz Trajectory (78 steps to reach 1)

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

11,443,256 5,721,628 2,860,814 1,430,407 4,291,222 2,145,611 6,436,834 3,218,417 9,655,252 4,827,626 2,413,813 7,241,440 3,620,720 1,810,360 905,180 452,590 226,295 678,886 339,443 1,018,330 509,165 1,527,496 763,748 381,874 190,937 572,812 286,406 143,203 429,610 214,805 644,416 322,208 161,104 80,552 40,276 20,138 10,069 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58

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