λ
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2,400,570

2 × 33 × 5 × 17 × 523
Abundant Even Composite

2,400,570 factors as 2 × 3^3 × 5 × 17 × 523. Its 64 positive divisors give a proper-divisor sum of 4,390,470, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 17 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,791,040
Proper Divisor Sum 4,390,470
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2400557 ← → #2400571

Radix Representation

Decimal 2400570
Binary 1001001010000100111010 (22 bits)
Octal 0o11120472
Hexadecimal 0x24A13A

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 523 765 918 1,046 1,530 1,569 2,295 2,615 3,138 4,590 4,707 5,230 7,845 8,891 9,414 14,121 15,690 17,782 23,535 26,673 28,242 44,455 47,070 53,346 70,605 80,019 88,910 133,365 141,210 160,038 240,057 266,730 400,095

Collatz Trajectory (91 steps to reach 1)

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

2,400,570 1,200,285 3,600,856 1,800,428 900,214 450,107 1,350,322 675,161 2,025,484 1,012,742 506,371 1,519,114 759,557 2,278,672 1,139,336 569,668 284,834 142,417 427,252 213,626 106,813 320,440 160,220 80,110 40,055 120,166 60,083 180,250 90,125 270,376 135,188 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542

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