λ
Ratio Atlas

48,754,047

3 × 739 × 21991
Deficient Odd Composite

48,754,047 factors as 3 × 739 × 21991. Its 8 positive divisors give a proper-divisor sum of 16,342,273, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 3 × 739 × 21991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 65,096,320
Proper Divisor Sum 16,342,273
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #48754039 ← → #48754061

Radix Representation

Decimal 48754047
Binary 10111001111110110101111111 (26 bits)
Octal 0o271766577
Hexadecimal 0x2E7ED7F

Divisor Catalog (8)

Collatz Trajectory (261 steps to reach 1)

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

48,754,047 146,262,142 73,131,071 219,393,214 109,696,607 329,089,822 164,544,911 493,634,734 246,817,367 740,452,102 370,226,051 1,110,678,154 555,339,077 1,666,017,232 833,008,616 416,504,308 208,252,154 104,126,077 312,378,232 156,189,116 78,094,558 39,047,279 117,141,838 58,570,919 175,712,758 87,856,379 263,569,138 131,784,569 395,353,708 197,676,854 98,838,427 296,515,282 148,257,641 444,772,924 222,386,462 111,193,231 333,579,694 166,789,847 500,369,542 250,184,771 750,554,314 375,277,157 1,125,831,472 562,915,736 281,457,868 140,728,934 70,364,467 211,093,402 105,546,701 316,640,104 158,320,052 79,160,026 39,580,013 118,740,040 59,370,020 29,685,010 14,842,505 44,527,516 22,263,758 11,131,879

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