λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,246,776

13,246,776

23 × 32 × 251 × 733
Abundant Even Composite

13,246,776 factors as 2^3 × 3^2 × 251 × 733. Its 48 positive divisors give a proper-divisor sum of 22,821,984, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 251 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,068,760
Proper Divisor Sum 22,821,984
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #13246763 ← → #13246787

Radix Representation

Decimal 13246776
Binary 110010100010000100111000 (24 bits)
Octal 0o62420470
Hexadecimal 0xCA2138

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 251 502 733 753 1,004 1,466 1,506 2,008 2,199 2,259 2,932 3,012 4,398 4,518 5,864 6,024 6,597 8,796 9,036 13,194 17,592 18,072 26,388 52,776 183,983 367,966 551,949 735,932 1,103,898 1,471,864 1,655,847 2,207,796 3,311,694 4,415,592 6,623,388 13,246,776

Collatz Trajectory (73 steps to reach 1)

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

13,246,776 6,623,388 3,311,694 1,655,847 4,967,542 2,483,771 7,451,314 3,725,657 11,176,972 5,588,486 2,794,243 8,382,730 4,191,365 12,574,096 6,287,048 3,143,524 1,571,762 785,881 2,357,644 1,178,822 589,411 1,768,234 884,117 2,652,352 1,326,176 663,088 331,544 165,772 82,886 41,443 124,330 62,165 186,496 93,248 46,624 23,312 11,656 5,828 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #13,246,775 Browse Full Index Next Integer #13,246,777 →