6,027,580

2² × 5 × 13 × 97 × 239

6,027,580 has digital root 1. The neighboring primes are 6027529 and 6027601; its proper-divisor sum differs from the starting integer by 1,774,600.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 97 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,829,760

Proper Divisor Sum 7,802,180

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6027529 ← → #6027601

Radix Representation

Decimal	6027580
Binary	10110111111100100111100 (23 bits)
Octal	0o26774474
Hexadecimal	0x5BF93C

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 97 130 194 239 260 388 478 485 956 970 1,195 1,261 1,940 2,390 2,522 3,107 4,780 5,044 6,214 6,305 12,428 12,610 15,535 23,183 25,220 31,070 46,366 62,140 92,732 115,915 231,830 301,379 463,660 602,758 1,205,516 1,506,895 3,013,790 6,027,580

Collatz Trajectory (90 steps to reach 1)

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

6,027,580 3,013,790 1,506,895 4,520,686 2,260,343 6,781,030 3,390,515 10,171,546 5,085,773 15,257,320 7,628,660 3,814,330 1,907,165 5,721,496 2,860,748 1,430,374 715,187 2,145,562 1,072,781 3,218,344 1,609,172 804,586 402,293 1,206,880 603,440 301,720 150,860 75,430 37,715 113,146 56,573 169,720 84,860 42,430 21,215 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178

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