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Atlas › Integer Profiles › Node 11,774,600

11,774,600

23 × 52 × 113 × 521
Abundant Even Composite

11,774,600 factors as 2^3 × 5^2 × 113 × 521. Its 48 positive divisors give a proper-divisor sum of 15,896,620, so this integer is abundant. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 113 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,671,220
Proper Divisor Sum 15,896,620
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11774579 ← → #11774617

Radix Representation

Decimal 11774600
Binary 101100111010101010001000 (24 bits)
Octal 0o54725210
Hexadecimal 0xB3AA88

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 521 565 904 1,042 1,130 2,084 2,260 2,605 2,825 4,168 4,520 5,210 5,650 10,420 11,300 13,025 20,840 22,600 26,050 52,100 58,873 104,200 117,746 235,492 294,365 470,984 588,730 1,177,460 1,471,825 2,354,920 2,943,650 5,887,300 11,774,600

Collatz Trajectory (259 steps to reach 1)

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

11,774,600 5,887,300 2,943,650 1,471,825 4,415,476 2,207,738 1,103,869 3,311,608 1,655,804 827,902 413,951 1,241,854 620,927 1,862,782 931,391 2,794,174 1,397,087 4,191,262 2,095,631 6,286,894 3,143,447 9,430,342 4,715,171 14,145,514 7,072,757 21,218,272 10,609,136 5,304,568 2,652,284 1,326,142 663,071 1,989,214 994,607 2,983,822 1,491,911 4,475,734 2,237,867 6,713,602 3,356,801 10,070,404 5,035,202 2,517,601 7,552,804 3,776,402 1,888,201 5,664,604 2,832,302 1,416,151 4,248,454 2,124,227 6,372,682 3,186,341 9,559,024 4,779,512 2,389,756 1,194,878 597,439 1,792,318 896,159 2,688,478

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