λ
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2,512,840

23 × 5 × 11 × 5711
Abundant Even Composite

2,512,840 factors as 2^3 × 5 × 11 × 5711. Its 32 positive divisors give a proper-divisor sum of 3,656,120, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 5711
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,168,960
Proper Divisor Sum 3,656,120
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2512837 ← → #2512841

Radix Representation

Decimal 2512840
Binary 1001100101011111001000 (22 bits)
Octal 0o11453710
Hexadecimal 0x2657C8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5,711 11,422 22,844 28,555 45,688 57,110 62,821 114,220 125,642 228,440 251,284 314,105 502,568 628,210 1,256,420 2,512,840

Collatz Trajectory (112 steps to reach 1)

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

2,512,840 1,256,420 628,210 314,105 942,316 471,158 235,579 706,738 353,369 1,060,108 530,054 265,027 795,082 397,541 1,192,624 596,312 298,156 149,078 74,539 223,618 111,809 335,428 167,714 83,857 251,572 125,786 62,893 188,680 94,340 47,170 23,585 70,756 35,378 17,689 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657

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