λ
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43,520,344

23 × 7 × 139 × 5591
Abundant Even Composite

43,520,344 factors as 2^3 × 7 × 139 × 5591. Its 32 positive divisors give a proper-divisor sum of 50,425,256, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 139 × 5591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,945,600
Proper Divisor Sum 50,425,256
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #43520341 ← → #43520363

Radix Representation

Decimal 43520344
Binary 10100110000001000101011000 (26 bits)
Octal 0o246010530
Hexadecimal 0x2981158

Divisor Catalog (32)

1 2 4 7 8 14 28 56 139 278 556 973 1,112 1,946 3,892 5,591 7,784 11,182 22,364 39,137 44,728 78,274 156,548 313,096 777,149 1,554,298 3,108,596 5,440,043 6,217,192 10,880,086 21,760,172 43,520,344

Collatz Trajectory (191 steps to reach 1)

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

43,520,344 21,760,172 10,880,086 5,440,043 16,320,130 8,160,065 24,480,196 12,240,098 6,120,049 18,360,148 9,180,074 4,590,037 13,770,112 6,885,056 3,442,528 1,721,264 860,632 430,316 215,158 107,579 322,738 161,369 484,108 242,054 121,027 363,082 181,541 544,624 272,312 136,156 68,078 34,039 102,118 51,059 153,178 76,589 229,768 114,884 57,442 28,721 86,164 43,082 21,541 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670

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