43,520,004

2² × 3⁴ × 11 × 12211

43,520,004 factors as 2^2 × 3^4 × 11 × 12211. Its 60 positive divisors give a proper-divisor sum of 80,602,764, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 11 × 12211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 124,122,768

Proper Divisor Sum 80,602,764

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #43519997 ← → #43520041

Radix Representation

Decimal	43520004
Binary	10100110000001000000000100 (26 bits)
Octal	0o246010004
Hexadecimal	0x2981004

Divisor Catalog (60)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1,188 1,782 3,564 12,211 24,422 36,633 48,844 73,266 109,899 134,321 146,532 219,798 268,642 329,697 402,963 439,596 537,284 659,394 805,926 989,091 1,208,889 1,318,788 1,611,852 1,978,182 2,417,778 3,626,667 3,956,364 4,835,556 7,253,334 10,880,001 14,506,668 21,760,002 43,520,004

Collatz Trajectory (191 steps to reach 1)

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

43,520,004 21,760,002 10,880,001 32,640,004 16,320,002 8,160,001 24,480,004 12,240,002 6,120,001 18,360,004 9,180,002 4,590,001 13,770,004 6,885,002 3,442,501 10,327,504 5,163,752 2,581,876 1,290,938 645,469 1,936,408 968,204 484,102 242,051 726,154 363,077 1,089,232 544,616 272,308 136,154 68,077 204,232 102,116 51,058 25,529 76,588 38,294 19,147 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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