λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,246,772

48,246,772

22 × 72 × 71 × 3467
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 71 × 3467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 99,628,704
Proper Divisor Sum 51,381,932
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #48246763 ← → #48246773

Radix Representation

Decimal 48246772
Binary 10111000000010111111110100 (26 bits)
Octal 0o270027764
Hexadecimal 0x2E02FF4

Divisor Catalog (36)

1 2 4 7 14 28 49 71 98 142 196 284 497 994 1,988 3,467 3,479 6,934 6,958 13,868 13,916 24,269 48,538 97,076 169,883 246,157 339,766 492,314 679,532 984,628 1,723,099 3,446,198 6,892,396 12,061,693 24,123,386 48,246,772

Collatz Trajectory (186 steps to reach 1)

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

48,246,772 24,123,386 12,061,693 36,185,080 18,092,540 9,046,270 4,523,135 13,569,406 6,784,703 20,354,110 10,177,055 30,531,166 15,265,583 45,796,750 22,898,375 68,695,126 34,347,563 103,042,690 51,521,345 154,564,036 77,282,018 38,641,009 115,923,028 57,961,514 28,980,757 86,942,272 43,471,136 21,735,568 10,867,784 5,433,892 2,716,946 1,358,473 4,075,420 2,037,710 1,018,855 3,056,566 1,528,283 4,584,850 2,292,425 6,877,276 3,438,638 1,719,319 5,157,958 2,578,979 7,736,938 3,868,469 11,605,408 5,802,704 2,901,352 1,450,676 725,338 362,669 1,088,008 544,004 272,002 136,001 408,004 204,002 102,001 306,004

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #48,246,771 Browse Full Index Next Integer #48,246,773 →