λ
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43,374,448

24 × 13 × 151 × 1381
Abundant Even Composite

43,374,448 factors as 2^4 × 13 × 151 × 1381. Its 40 positive divisors give a proper-divisor sum of 47,793,328, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 151 × 1381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 91,167,776
Proper Divisor Sum 47,793,328
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #43374439 ← → #43374451

Radix Representation

Decimal 43374448
Binary 10100101011101011101110000 (26 bits)
Octal 0o245353560
Hexadecimal 0x295D770

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 151 208 302 604 1,208 1,381 1,963 2,416 2,762 3,926 5,524 7,852 11,048 15,704 17,953 22,096 31,408 35,906 71,812 143,624 208,531 287,248 417,062 834,124 1,668,248 2,710,903 3,336,496 5,421,806 10,843,612 21,687,224 43,374,448

Collatz Trajectory (116 steps to reach 1)

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

43,374,448 21,687,224 10,843,612 5,421,806 2,710,903 8,132,710 4,066,355 12,199,066 6,099,533 18,298,600 9,149,300 4,574,650 2,287,325 6,861,976 3,430,988 1,715,494 857,747 2,573,242 1,286,621 3,859,864 1,929,932 964,966 482,483 1,447,450 723,725 2,171,176 1,085,588 542,794 271,397 814,192 407,096 203,548 101,774 50,887 152,662 76,331 228,994 114,497 343,492 171,746 85,873 257,620 128,810 64,405 193,216 96,608 48,304 24,152 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274

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