λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,622,752

48,622,752

25 × 32 × 197 × 857
Abundant Even Composite

48,622,752 factors as 2^5 × 3^2 × 197 × 857. Its 72 positive divisors give a proper-divisor sum of 90,512,244, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 197 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 139,134,996
Proper Divisor Sum 90,512,244
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #48622751 ← → #48622753

Radix Representation

Decimal 48622752
Binary 10111001011110110010100000 (26 bits)
Octal 0o271366240
Hexadecimal 0x2E5ECA0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 591 788 857 1,182 1,576 1,714 1,773 2,364 2,571 3,152 3,428 3,546 4,728 5,142 6,304 6,856 7,092 7,713 9,456 10,284 13,712 14,184 15,426 18,912 20,568 27,424 28,368 30,852 41,136 56,736 61,704 82,272 123,408 168,829 246,816 337,658 506,487 675,316 1,012,974 1,350,632

Collatz Trajectory (155 steps to reach 1)

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

48,622,752 24,311,376 12,155,688 6,077,844 3,038,922 1,519,461 4,558,384 2,279,192 1,139,596 569,798 284,899 854,698 427,349 1,282,048 641,024 320,512 160,256 80,128 40,064 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #48,622,751 Browse Full Index Next Integer #48,622,753 →