λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,999,944

13,999,944

23 × 3 × 7 × 167 × 499
Abundant Even Composite

13,999,944 factors as 2^3 × 3 × 7 × 167 × 499. Its 64 positive divisors give a proper-divisor sum of 26,320,056, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 167 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 40,320,000
Proper Divisor Sum 26,320,056
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #13999919 ← → #13999957

Radix Representation

Decimal 13999944
Binary 110101011001111101001000 (24 bits)
Octal 0o65317510
Hexadecimal 0xD59F48

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 499 501 668 998 1,002 1,169 1,336 1,497 1,996 2,004 2,338 2,994 3,493 3,507 3,992 4,008 4,676 5,988 6,986 7,014 9,352 10,479 11,976 13,972 14,028 20,958 27,944 28,056 41,916 83,333 83,832 166,666 249,999 333,332 499,998 583,331 666,664 999,996 1,166,662 1,749,993 1,999,992 2,333,324

Collatz Trajectory (153 steps to reach 1)

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

13,999,944 6,999,972 3,499,986 1,749,993 5,249,980 2,624,990 1,312,495 3,937,486 1,968,743 5,906,230 2,953,115 8,859,346 4,429,673 13,289,020 6,644,510 3,322,255 9,966,766 4,983,383 14,950,150 7,475,075 22,425,226 11,212,613 33,637,840 16,818,920 8,409,460 4,204,730 2,102,365 6,307,096 3,153,548 1,576,774 788,387 2,365,162 1,182,581 3,547,744 1,773,872 886,936 443,468 221,734 110,867 332,602 166,301 498,904 249,452 124,726 62,363 187,090 93,545 280,636 140,318 70,159 210,478 105,239 315,718 157,859 473,578 236,789 710,368 355,184 177,592 88,796

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #13,999,943 Browse Full Index Next Integer #13,999,945 →