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Atlas › Integer Profiles › Node 13,463,541

13,463,541

32 × 7 × 13 × 17 × 967
Deficient Odd Composite

13,463,541 factors as 3^2 × 7 × 13 × 17 × 967. Its 48 positive divisors give a proper-divisor sum of 11,905,803, so this integer is deficient. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 17 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,369,344
Proper Divisor Sum 11,905,803
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13463531 ← → #13463543

Radix Representation

Decimal 13463541
Binary 110011010110111111110101 (24 bits)
Octal 0o63267765
Hexadecimal 0xCD6FF5

Divisor Catalog (48)

1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 967 1,071 1,547 1,989 2,901 4,641 6,769 8,703 12,571 13,923 16,439 20,307 37,713 49,317 60,921 87,997 113,139 115,073 147,951 213,707 263,991 345,219 641,121 791,973 1,035,657 1,495,949 1,923,363 4,487,847 13,463,541

Collatz Trajectory (285 steps to reach 1)

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

13,463,541 40,390,624 20,195,312 10,097,656 5,048,828 2,524,414 1,262,207 3,786,622 1,893,311 5,679,934 2,839,967 8,519,902 4,259,951 12,779,854 6,389,927 19,169,782 9,584,891 28,754,674 14,377,337 43,132,012 21,566,006 10,783,003 32,349,010 16,174,505 48,523,516 24,261,758 12,130,879 36,392,638 18,196,319 54,588,958 27,294,479 81,883,438 40,941,719 122,825,158 61,412,579 184,237,738 92,118,869 276,356,608 138,178,304 69,089,152 34,544,576 17,272,288 8,636,144 4,318,072 2,159,036 1,079,518 539,759 1,619,278 809,639 2,428,918 1,214,459 3,643,378 1,821,689 5,465,068 2,732,534 1,366,267 4,098,802 2,049,401 6,148,204 3,074,102

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