49,273,000

2³ × 5³ × 7 × 7039

49,273,000 factors as 2^3 × 5^3 × 7 × 7039. Its 64 positive divisors give a proper-divisor sum of 82,515,800, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 7 × 7039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 131,788,800

Proper Divisor Sum 82,515,800

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #49272989 ← → #49273013

Radix Representation

Decimal	49273000
Binary	10111011111101100010101000 (26 bits)
Octal	0o273754250
Hexadecimal	0x2EFD8A8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1,000 1,400 1,750 3,500 7,000 7,039 14,078 28,156 35,195 49,273 56,312 70,390 98,546 140,780 175,975 197,092 246,365 281,560 351,950 394,184 492,730 703,900 879,875 985,460 1,231,825 1,407,800 1,759,750 1,970,920 2,463,650 3,519,500 4,927,300 6,159,125 7,039,000

Collatz Trajectory (155 steps to reach 1)

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

49,273,000 24,636,500 12,318,250 6,159,125 18,477,376 9,238,688 4,619,344 2,309,672 1,154,836 577,418 288,709 866,128 433,064 216,532 108,266 54,133 162,400 81,200 40,600 20,300 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456

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