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Atlas › Integer Profiles › Node 13,456,400

13,456,400

24 × 52 × 33641
Abundant Even Composite

13,456,400 factors as 2^4 × 5^2 × 33641. Its 30 positive divisors give a proper-divisor sum of 18,873,562, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 33641
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 32,329,962
Proper Divisor Sum 18,873,562
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #13456363 ← → #13456439

Radix Representation

Decimal 13456400
Binary 110011010101010000010000 (24 bits)
Octal 0o63252020
Hexadecimal 0xCD5410

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 33,641 67,282 134,564 168,205 269,128 336,410 538,256 672,820 841,025 1,345,640 1,682,050 2,691,280 3,364,100 6,728,200 13,456,400

Collatz Trajectory (109 steps to reach 1)

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

13,456,400 6,728,200 3,364,100 1,682,050 841,025 2,523,076 1,261,538 630,769 1,892,308 946,154 473,077 1,419,232 709,616 354,808 177,404 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466 151,733 455,200 227,600 113,800 56,900 28,450 14,225

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