17,106,921

3² × 13 × 146213

17,106,921 factors as 3^2 × 13 × 146213. Its 12 positive divisors give a proper-divisor sum of 9,504,027, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 146213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 26,610,948

Proper Divisor Sum 9,504,027

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17106911 ← → #17106937

Radix Representation

Decimal	17106921
Binary	1000001010000011111101001 (25 bits)
Octal	0o101203751
Hexadecimal	0x10507E9

Divisor Catalog (12)

1 3 9 13 39 117 146,213 438,639 1,315,917 1,900,769 5,702,307 17,106,921

Collatz Trajectory (125 steps to reach 1)

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

17,106,921 51,320,764 25,660,382 12,830,191 38,490,574 19,245,287 57,735,862 28,867,931 86,603,794 43,301,897 129,905,692 64,952,846 32,476,423 97,429,270 48,714,635 146,143,906 73,071,953 219,215,860 109,607,930 54,803,965 164,411,896 82,205,948 41,102,974 20,551,487 61,654,462 30,827,231 92,481,694 46,240,847 138,722,542 69,361,271 208,083,814 104,041,907 312,125,722 156,062,861 468,188,584 234,094,292 117,047,146 58,523,573 175,570,720 87,785,360 43,892,680 21,946,340 10,973,170 5,486,585 16,459,756 8,229,878 4,114,939 12,344,818 6,172,409 18,517,228 9,258,614 4,629,307 13,887,922 6,943,961 20,831,884 10,415,942 5,207,971 15,623,914 7,811,957 23,435,872

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,106,920 Browse Full Index Next Integer #17,106,922 →