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Atlas › Integer Profiles › Node 13,409,900

13,409,900

22 × 52 × 7 × 19157
Abundant Even Composite

13,409,900 factors as 2^2 × 5^2 × 7 × 19157. Its 36 positive divisors give a proper-divisor sum of 19,848,388, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 19157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 33,258,288
Proper Divisor Sum 19,848,388
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13409867 ← → #13409909

Radix Representation

Decimal 13409900
Binary 110011001001111001101100 (24 bits)
Octal 0o63117154
Hexadecimal 0xCC9E6C

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 19,157 38,314 76,628 95,785 134,099 191,570 268,198 383,140 478,925 536,396 670,495 957,850 1,340,990 1,915,700 2,681,980 3,352,475 6,704,950 13,409,900

Collatz Trajectory (122 steps to reach 1)

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

13,409,900 6,704,950 3,352,475 10,057,426 5,028,713 15,086,140 7,543,070 3,771,535 11,314,606 5,657,303 16,971,910 8,485,955 25,457,866 12,728,933 38,186,800 19,093,400 9,546,700 4,773,350 2,386,675 7,160,026 3,580,013 10,740,040 5,370,020 2,685,010 1,342,505 4,027,516 2,013,758 1,006,879 3,020,638 1,510,319 4,530,958 2,265,479 6,796,438 3,398,219 10,194,658 5,097,329 15,291,988 7,645,994 3,822,997 11,468,992 5,734,496 2,867,248 1,433,624 716,812 358,406 179,203 537,610 268,805 806,416 403,208 201,604 100,802 50,401 151,204 75,602 37,801 113,404 56,702 28,351 85,054

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