48,410,110

2 × 5 × 7 × 691573

48,410,110 factors as 2 × 5 × 7 × 691573. Its 16 positive divisors give a proper-divisor sum of 51,176,546, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 691573

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 99,586,656

Proper Divisor Sum 51,176,546

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #48410107 ← → #48410123

Radix Representation

Decimal	48410110
Binary	10111000101010110111111110 (26 bits)
Octal	0o270526776
Hexadecimal	0x2E2ADFE

Divisor Catalog (16)

1 2 5 7 10 14 35 70 691,573 1,383,146 3,457,865 4,841,011 6,915,730 9,682,022 24,205,055 48,410,110

Collatz Trajectory (142 steps to reach 1)

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

48,410,110 24,205,055 72,615,166 36,307,583 108,922,750 54,461,375 163,384,126 81,692,063 245,076,190 122,538,095 367,614,286 183,807,143 551,421,430 275,710,715 827,132,146 413,566,073 1,240,698,220 620,349,110 310,174,555 930,523,666 465,261,833 1,395,785,500 697,892,750 348,946,375 1,046,839,126 523,419,563 1,570,258,690 785,129,345 2,355,388,036 1,177,694,018 588,847,009 1,766,541,028 883,270,514 441,635,257 1,324,905,772 662,452,886 331,226,443 993,679,330 496,839,665 1,490,518,996 745,259,498 372,629,749 1,117,889,248 558,944,624 279,472,312 139,736,156 69,868,078 34,934,039 104,802,118 52,401,059 157,203,178 78,601,589 235,804,768 117,902,384 58,951,192 29,475,596 14,737,798 7,368,899 22,106,698 11,053,349

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