40,593,616

2⁴ × 7 × 362443

40,593,616 factors as 2^4 × 7 × 362443. Its 20 positive divisors give a proper-divisor sum of 49,292,496, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 362443

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 89,886,112

Proper Divisor Sum 49,292,496

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #40593607 ← → #40593629

Radix Representation

Decimal	40593616
Binary	10011010110110100011010000 (26 bits)
Octal	0o232664320
Hexadecimal	0x26B68D0

Divisor Catalog (20)

Collatz Trajectory (134 steps to reach 1)

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

40,593,616 20,296,808 10,148,404 5,074,202 2,537,101 7,611,304 3,805,652 1,902,826 951,413 2,854,240 1,427,120 713,560 356,780 178,390 89,195 267,586 133,793 401,380 200,690 100,345 301,036 150,518 75,259 225,778 112,889 338,668 169,334 84,667 254,002 127,001 381,004 190,502 95,251 285,754 142,877 428,632 214,316 107,158 53,579 160,738 80,369 241,108 120,554 60,277 180,832 90,416 45,208 22,604 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154

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