λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,465,780

4,465,780

22 × 5 × 11 × 53 × 383
Abundant Even Composite

4,465,780 factors as 2^2 × 5 × 11 × 53 × 383. Its 48 positive divisors give a proper-divisor sum of 5,985,164, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 53 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,450,944
Proper Divisor Sum 5,985,164
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4465763 ← → #4465787

Radix Representation

Decimal 4465780
Binary 10001000010010001110100 (23 bits)
Octal 0o21022164
Hexadecimal 0x442474

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 383 530 583 766 1,060 1,166 1,532 1,915 2,332 2,915 3,830 4,213 5,830 7,660 8,426 11,660 16,852 20,299 21,065 40,598 42,130 81,196 84,260 101,495 202,990 223,289 405,980 446,578 893,156 1,116,445 2,232,890 4,465,780

Collatz Trajectory (180 steps to reach 1)

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

4,465,780 2,232,890 1,116,445 3,349,336 1,674,668 837,334 418,667 1,256,002 628,001 1,884,004 942,002 471,001 1,413,004 706,502 353,251 1,059,754 529,877 1,589,632 794,816 397,408 198,704 99,352 49,676 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,465,779 Browse Full Index Next Integer #4,465,781 →