1,520,517

3 × 53 × 73 × 131

1,520,517 is odd and not a perfect square. Its factorization is 3 × 53 × 73 × 131 and its 16 divisors sum to 2,109,888.

Prime Factor Structure

Factorization String 3 × 53 × 73 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,109,888

Proper Divisor Sum 589,371

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1520509 ← → #1520527

Radix Representation

Decimal	1520517
Binary	101110011001110000101 (21 bits)
Octal	0o5631605
Hexadecimal	0x173385

Divisor Catalog (16)

1 3 53 73 131 159 219 393 3,869 6,943 9,563 11,607 20,829 28,689 506,839 1,520,517

Collatz Trajectory (225 steps to reach 1)

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

1,520,517 4,561,552 2,280,776 1,140,388 570,194 285,097 855,292 427,646 213,823 641,470 320,735 962,206 481,103 1,443,310 721,655 2,164,966 1,082,483 3,247,450 1,623,725 4,871,176 2,435,588 1,217,794 608,897 1,826,692 913,346 456,673 1,370,020 685,010 342,505 1,027,516 513,758 256,879 770,638 385,319 1,155,958 577,979 1,733,938 866,969 2,600,908 1,300,454 650,227 1,950,682 975,341 2,926,024 1,463,012 731,506 365,753 1,097,260 548,630 274,315 822,946 411,473 1,234,420 617,210 308,605 925,816 462,908 231,454 115,727 347,182

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