λ
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Atlas › Integer Profiles › Node 11,394,800

11,394,800

24 × 52 × 61 × 467
Abundant Even Composite

11,394,800 factors as 2^4 × 5^2 × 61 × 467. Its 60 positive divisors give a proper-divisor sum of 16,489,576, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 61 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 27,884,376
Proper Divisor Sum 16,489,576
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11394781 ← → #11394809

Radix Representation

Decimal 11394800
Binary 101011011101111011110000 (24 bits)
Octal 0o53357360
Hexadecimal 0xADDEF0

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 467 488 610 934 976 1,220 1,525 1,868 2,335 2,440 3,050 3,736 4,670 4,880 6,100 7,472 9,340 11,675 12,200 18,680 23,350 24,400 28,487 37,360 46,700 56,974 93,400 113,948 142,435 186,800 227,896 284,870 455,792 569,740 712,175 1,139,480 1,424,350 2,278,960 2,848,700 5,697,400 11,394,800

Collatz Trajectory (101 steps to reach 1)

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

11,394,800 5,697,400 2,848,700 1,424,350 712,175 2,136,526 1,068,263 3,204,790 1,602,395 4,807,186 2,403,593 7,210,780 3,605,390 1,802,695 5,408,086 2,704,043 8,112,130 4,056,065 12,168,196 6,084,098 3,042,049 9,126,148 4,563,074 2,281,537 6,844,612 3,422,306 1,711,153 5,133,460 2,566,730 1,283,365 3,850,096 1,925,048 962,524 481,262 240,631 721,894 360,947 1,082,842 541,421 1,624,264 812,132 406,066 203,033 609,100 304,550 152,275 456,826 228,413 685,240 342,620 171,310 85,655 256,966 128,483 385,450 192,725 578,176 289,088 144,544 72,272

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