λ
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2,768,720

24 × 5 × 53 × 653
Abundant Even Composite

2,768,720 factors as 2^4 × 5 × 53 × 653. Its 40 positive divisors give a proper-divisor sum of 3,800,056, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 53 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,568,776
Proper Divisor Sum 3,800,056
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2768683 ← → #2768767

Radix Representation

Decimal 2768720
Binary 1010100011111101010000 (22 bits)
Octal 0o12437520
Hexadecimal 0x2A3F50

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 653 848 1,060 1,306 2,120 2,612 3,265 4,240 5,224 6,530 10,448 13,060 26,120 34,609 52,240 69,218 138,436 173,045 276,872 346,090 553,744 692,180 1,384,360 2,768,720

Collatz Trajectory (76 steps to reach 1)

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

2,768,720 1,384,360 692,180 346,090 173,045 519,136 259,568 129,784 64,892 32,446 16,223 48,670 24,335 73,006 36,503 109,510 54,755 164,266 82,133 246,400 123,200 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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