6,048,315

3² × 5 × 7² × 13 × 211

6,048,315 has digital root 9. The neighboring primes are 6048313 and 6048407; its proper-divisor sum differs from the starting integer by 1,099,098.

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 13 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,195,728

Proper Divisor Sum 7,147,413

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6048313 ← → #6048407

Radix Representation

Decimal	6048315
Binary	10111000100101000111011 (23 bits)
Octal	0o27045073
Hexadecimal	0x5C4A3B

Divisor Catalog (60 of 72)

1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 211 245 273 315 441 455 585 633 637 735 819 1,055 1,365 1,477 1,899 1,911 2,205 2,743 3,165 3,185 4,095 4,431 5,733 7,385 8,229 9,495 9,555 10,339 13,293 13,715 19,201 22,155 24,687 28,665 31,017 41,145 51,695 57,603 66,465 93,051 96,005

Collatz Trajectory (134 steps to reach 1)

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

6,048,315 18,144,946 9,072,473 27,217,420 13,608,710 6,804,355 20,413,066 10,206,533 30,619,600 15,309,800 7,654,900 3,827,450 1,913,725 5,741,176 2,870,588 1,435,294 717,647 2,152,942 1,076,471 3,229,414 1,614,707 4,844,122 2,422,061 7,266,184 3,633,092 1,816,546 908,273 2,724,820 1,362,410 681,205 2,043,616 1,021,808 510,904 255,452 127,726 63,863 191,590 95,795 287,386 143,693 431,080 215,540 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182

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