λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,925,072

13,925,072

24 × 7 × 101 × 1231
Abundant Even Composite

13,925,072 factors as 2^4 × 7 × 101 × 1231. Its 40 positive divisors give a proper-divisor sum of 17,239,600, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 101 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 31,164,672
Proper Divisor Sum 17,239,600
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #13925071 ← → #13925083

Radix Representation

Decimal 13925072
Binary 110101000111101011010000 (24 bits)
Octal 0o65075320
Hexadecimal 0xD47AD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1,231 1,414 1,616 2,462 2,828 4,924 5,656 8,617 9,848 11,312 17,234 19,696 34,468 68,936 124,331 137,872 248,662 497,324 870,317 994,648 1,740,634 1,989,296 3,481,268 6,962,536 13,925,072

Collatz Trajectory (99 steps to reach 1)

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

13,925,072 6,962,536 3,481,268 1,740,634 870,317 2,610,952 1,305,476 652,738 326,369 979,108 489,554 244,777 734,332 367,166 183,583 550,750 275,375 826,126 413,063 1,239,190 619,595 1,858,786 929,393 2,788,180 1,394,090 697,045 2,091,136 1,045,568 522,784 261,392 130,696 65,348 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #13,925,071 Browse Full Index Next Integer #13,925,073 →