48,754,671

3 × 7 × 719 × 3229

48,754,671 factors as 3 × 7 × 719 × 3229. Its 16 positive divisors give a proper-divisor sum of 25,664,529, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 7 × 719 × 3229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 74,419,200

Proper Divisor Sum 25,664,529

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #48754669 ← → #48754679

Radix Representation

Decimal	48754671
Binary	10111001111110111111101111 (26 bits)
Octal	0o271767757
Hexadecimal	0x2E7EFEF

Divisor Catalog (16)

1 3 7 21 719 2,157 3,229 5,033 9,687 15,099 22,603 67,809 2,321,651 6,964,953 16,251,557 48,754,671

Collatz Trajectory (248 steps to reach 1)

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

48,754,671 146,264,014 73,132,007 219,396,022 109,698,011 329,094,034 164,547,017 493,641,052 246,820,526 123,410,263 370,230,790 185,115,395 555,346,186 277,673,093 833,019,280 416,509,640 208,254,820 104,127,410 52,063,705 156,191,116 78,095,558 39,047,779 117,143,338 58,571,669 175,715,008 87,857,504 43,928,752 21,964,376 10,982,188 5,491,094 2,745,547 8,236,642 4,118,321 12,354,964 6,177,482 3,088,741 9,266,224 4,633,112 2,316,556 1,158,278 579,139 1,737,418 868,709 2,606,128 1,303,064 651,532 325,766 162,883 488,650 244,325 732,976 366,488 183,244 91,622 45,811 137,434 68,717 206,152 103,076 51,538

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