7,104,650

2 × 5² × 7 × 53 × 383

Starting at 7,104,650, the Collatz iteration reaches 1 after 121 steps. The first transition is 3552325; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 53 × 383

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,427,584

Proper Divisor Sum 8,322,934

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7104619 ← → #7104653

Radix Representation

Decimal	7104650
Binary	11011000110100010001010 (23 bits)
Octal	0o33064212
Hexadecimal	0x6C688A

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 53 70 106 175 265 350 371 383 530 742 766 1,325 1,855 1,915 2,650 2,681 3,710 3,830 5,362 9,275 9,575 13,405 18,550 19,150 20,299 26,810 40,598 67,025 101,495 134,050 142,093 202,990 284,186 507,475 710,465 1,014,950 1,420,930 3,552,325 7,104,650

Collatz Trajectory (121 steps to reach 1)

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

7,104,650 3,552,325 10,656,976 5,328,488 2,664,244 1,332,122 666,061 1,998,184 999,092 499,546 249,773 749,320 374,660 187,330 93,665 280,996 140,498 70,249 210,748 105,374 52,687 158,062 79,031 237,094 118,547 355,642 177,821 533,464 266,732 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511

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