λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,985,154

13,985,154

2 × 32 × 31 × 71 × 353
Abundant Even Composite

13,985,154 factors as 2 × 3^2 × 31 × 71 × 353. Its 48 positive divisors give a proper-divisor sum of 17,823,870, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 71 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,809,024
Proper Divisor Sum 17,823,870
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #13985143 ← → #13985161

Radix Representation

Decimal 13985154
Binary 110101010110010110000010 (24 bits)
Octal 0o65262602
Hexadecimal 0xD56582

Divisor Catalog (48)

1 2 3 6 9 18 31 62 71 93 142 186 213 279 353 426 558 639 706 1,059 1,278 2,118 2,201 3,177 4,402 6,354 6,603 10,943 13,206 19,809 21,886 25,063 32,829 39,618 50,126 65,658 75,189 98,487 150,378 196,974 225,567 451,134 776,953 1,553,906 2,330,859 4,661,718 6,992,577 13,985,154

Collatz Trajectory (192 steps to reach 1)

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

13,985,154 6,992,577 20,977,732 10,488,866 5,244,433 15,733,300 7,866,650 3,933,325 11,799,976 5,899,988 2,949,994 1,474,997 4,424,992 2,212,496 1,106,248 553,124 276,562 138,281 414,844 207,422 103,711 311,134 155,567 466,702 233,351 700,054 350,027 1,050,082 525,041 1,575,124 787,562 393,781 1,181,344 590,672 295,336 147,668 73,834 36,917 110,752 55,376 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #13,985,153 Browse Full Index Next Integer #13,985,155 →