λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,932,464

2,932,464

24 × 3 × 199 × 307
Abundant Even Composite

2,932,464 factors as 2^4 × 3 × 199 × 307. Its 40 positive divisors give a proper-divisor sum of 4,705,936, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 199 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,638,400
Proper Divisor Sum 4,705,936
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2932459 ← → #2932481

Radix Representation

Decimal 2932464
Binary 1011001011111011110000 (22 bits)
Octal 0o13137360
Hexadecimal 0x2CBEF0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 199 307 398 597 614 796 921 1,194 1,228 1,592 1,842 2,388 2,456 3,184 3,684 4,776 4,912 7,368 9,552 14,736 61,093 122,186 183,279 244,372 366,558 488,744 733,116 977,488 1,466,232 2,932,464

Collatz Trajectory (244 steps to reach 1)

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

2,932,464 1,466,232 733,116 366,558 183,279 549,838 274,919 824,758 412,379 1,237,138 618,569 1,855,708 927,854 463,927 1,391,782 695,891 2,087,674 1,043,837 3,131,512 1,565,756 782,878 391,439 1,174,318 587,159 1,761,478 880,739 2,642,218 1,321,109 3,963,328 1,981,664 990,832 495,416 247,708 123,854 61,927 185,782 92,891 278,674 139,337 418,012 209,006 104,503 313,510 156,755 470,266 235,133 705,400 352,700 176,350 88,175 264,526 132,263 396,790 198,395 595,186 297,593 892,780 446,390 223,195 669,586

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,932,463 Browse Full Index Next Integer #2,932,465 →