6,121,105

5 × 17 × 23 × 31 × 101

6,121,105 factors as 5 × 17 × 23 × 31 × 101. Its 32 positive divisors give a proper-divisor sum of 2,339,183, so this integer is deficient. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 5 × 17 × 23 × 31 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,460,288

Proper Divisor Sum 2,339,183

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #6121099 ← → #6121109

Radix Representation

Decimal	6121105
Binary	10111010110011010010001 (23 bits)
Octal	0o27263221
Hexadecimal	0x5D6691

Divisor Catalog (32)

1 5 17 23 31 85 101 115 155 391 505 527 713 1,717 1,955 2,323 2,635 3,131 3,565 8,585 11,615 12,121 15,655 39,491 53,227 60,605 72,013 197,455 266,135 360,065 1,224,221 6,121,105

Collatz Trajectory (289 steps to reach 1)

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

6,121,105 18,363,316 9,181,658 4,590,829 13,772,488 6,886,244 3,443,122 1,721,561 5,164,684 2,582,342 1,291,171 3,873,514 1,936,757 5,810,272 2,905,136 1,452,568 726,284 363,142 181,571 544,714 272,357 817,072 408,536 204,268 102,134 51,067 153,202 76,601 229,804 114,902 57,451 172,354 86,177 258,532 129,266 64,633 193,900 96,950 48,475 145,426 72,713 218,140 109,070 54,535 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511 103,534 51,767 155,302 77,651 232,954

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