λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,331,967

1,331,967

3 × 72 × 13 × 17 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 17 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,413,152
Proper Divisor Sum 1,081,185
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1331959 ← → #1331969

Radix Representation

Decimal 1331967
Binary 101000101001011111111 (21 bits)
Octal 0o5051377
Hexadecimal 0x1452FF

Divisor Catalog (48)

1 3 7 13 17 21 39 41 49 51 91 119 123 147 221 273 287 357 533 637 663 697 833 861 1,547 1,599 1,911 2,009 2,091 2,499 3,731 4,641 4,879 6,027 9,061 10,829 11,193 14,637 26,117 27,183 32,487 34,153 63,427 78,351 102,459 190,281 443,989 1,331,967

Collatz Trajectory (336 steps to reach 1)

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

1,331,967 3,995,902 1,997,951 5,993,854 2,996,927 8,990,782 4,495,391 13,486,174 6,743,087 20,229,262 10,114,631 30,343,894 15,171,947 45,515,842 22,757,921 68,273,764 34,136,882 17,068,441 51,205,324 25,602,662 12,801,331 38,403,994 19,201,997 57,605,992 28,802,996 14,401,498 7,200,749 21,602,248 10,801,124 5,400,562 2,700,281 8,100,844 4,050,422 2,025,211 6,075,634 3,037,817 9,113,452 4,556,726 2,278,363 6,835,090 3,417,545 10,252,636 5,126,318 2,563,159 7,689,478 3,844,739 11,534,218 5,767,109 17,301,328 8,650,664 4,325,332 2,162,666 1,081,333 3,244,000 1,622,000 811,000 405,500 202,750 101,375 304,126

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,331,966 Browse Full Index Next Integer #1,331,968 →