λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,361,336

12,361,336

23 × 132 × 41 × 223
Abundant Even Composite

12,361,336 factors as 2^3 × 13^2 × 41 × 223. Its 48 positive divisors give a proper-divisor sum of 13,463,624, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 41 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,824,960
Proper Divisor Sum 13,463,624
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #12361303 ← → #12361351

Radix Representation

Decimal 12361336
Binary 101111001001111001111000 (24 bits)
Octal 0o57117170
Hexadecimal 0xBC9E78

Divisor Catalog (48)

1 2 4 8 13 26 41 52 82 104 164 169 223 328 338 446 533 676 892 1,066 1,352 1,784 2,132 2,899 4,264 5,798 6,929 9,143 11,596 13,858 18,286 23,192 27,716 36,572 37,687 55,432 73,144 75,374 118,859 150,748 237,718 301,496 475,436 950,872 1,545,167 3,090,334 6,180,668 12,361,336

Collatz Trajectory (166 steps to reach 1)

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

12,361,336 6,180,668 3,090,334 1,545,167 4,635,502 2,317,751 6,953,254 3,476,627 10,429,882 5,214,941 15,644,824 7,822,412 3,911,206 1,955,603 5,866,810 2,933,405 8,800,216 4,400,108 2,200,054 1,100,027 3,300,082 1,650,041 4,950,124 2,475,062 1,237,531 3,712,594 1,856,297 5,568,892 2,784,446 1,392,223 4,176,670 2,088,335 6,265,006 3,132,503 9,397,510 4,698,755 14,096,266 7,048,133 21,144,400 10,572,200 5,286,100 2,643,050 1,321,525 3,964,576 1,982,288 991,144 495,572 247,786 123,893 371,680 185,840 92,920 46,460 23,230 11,615 34,846 17,423 52,270 26,135 78,406

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