13,509,433

7 × 137 × 14087

13,509,433 factors as 7 × 137 × 14087. Its 8 positive divisors give a proper-divisor sum of 2,043,719, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 7 × 137 × 14087

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,553,152

Proper Divisor Sum 2,043,719

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #13509413 ← → #13509443

Radix Representation

Decimal	13509433
Binary	110011100010001100111001 (24 bits)
Octal	0o63421471
Hexadecimal	0xCE2339

Divisor Catalog (8)

1 7 137 959 14,087 98,609 1,929,919 13,509,433

Collatz Trajectory (109 steps to reach 1)

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

13,509,433 40,528,300 20,264,150 10,132,075 30,396,226 15,198,113 45,594,340 22,797,170 11,398,585 34,195,756 17,097,878 8,548,939 25,646,818 12,823,409 38,470,228 19,235,114 9,617,557 28,852,672 14,426,336 7,213,168 3,606,584 1,803,292 901,646 450,823 1,352,470 676,235 2,028,706 1,014,353 3,043,060 1,521,530 760,765 2,282,296 1,141,148 570,574 285,287 855,862 427,931 1,283,794 641,897 1,925,692 962,846 481,423 1,444,270 722,135 2,166,406 1,083,203 3,249,610 1,624,805 4,874,416 2,437,208 1,218,604 609,302 304,651 913,954 456,977 1,370,932 685,466 342,733 1,028,200 514,100

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