λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,101,780

4,101,780

22 × 3 × 5 × 137 × 499
Abundant Even Composite

4,101,780 factors as 2^2 × 3 × 5 × 137 × 499. Its 48 positive divisors give a proper-divisor sum of 7,490,220, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 137 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,592,000
Proper Divisor Sum 7,490,220
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4101767 ← → #4101791

Radix Representation

Decimal 4101780
Binary 1111101001011010010100 (22 bits)
Octal 0o17513224
Hexadecimal 0x3E9694

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 499 548 685 822 998 1,370 1,497 1,644 1,996 2,055 2,495 2,740 2,994 4,110 4,990 5,988 7,485 8,220 9,980 14,970 29,940 68,363 136,726 205,089 273,452 341,815 410,178 683,630 820,356 1,025,445 1,367,260 2,050,890 4,101,780

Collatz Trajectory (79 steps to reach 1)

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

4,101,780 2,050,890 1,025,445 3,076,336 1,538,168 769,084 384,542 192,271 576,814 288,407 865,222 432,611 1,297,834 648,917 1,946,752 973,376 486,688 243,344 121,672 60,836 30,418 15,209 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,101,779 Browse Full Index Next Integer #4,101,781 →