λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,200,520

4,200,520

23 × 5 × 19 × 5527
Abundant Even Composite

4,200,520 factors as 2^3 × 5 × 19 × 5527. Its 32 positive divisors give a proper-divisor sum of 5,749,880, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 5527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,950,400
Proper Divisor Sum 5,749,880
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #4200487 ← → #4200523

Radix Representation

Decimal 4200520
Binary 10000000001100001001000 (23 bits)
Octal 0o20014110
Hexadecimal 0x401848

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 5,527 11,054 22,108 27,635 44,216 55,270 105,013 110,540 210,026 221,080 420,052 525,065 840,104 1,050,130 2,100,260 4,200,520

Collatz Trajectory (92 steps to reach 1)

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

4,200,520 2,100,260 1,050,130 525,065 1,575,196 787,598 393,799 1,181,398 590,699 1,772,098 886,049 2,658,148 1,329,074 664,537 1,993,612 996,806 498,403 1,495,210 747,605 2,242,816 1,121,408 560,704 280,352 140,176 70,088 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,200,519 Browse Full Index Next Integer #4,200,521 →