7,146,630

2 × 3⁵ × 5 × 17 × 173

Starting at 7,146,630, the Collatz iteration reaches 1 after 191 steps. The first transition is 3573315; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 17 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,520,864

Proper Divisor Sum 13,374,234

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7146619 ← → #7146649

Radix Representation

Decimal	7146630
Binary	11011010000110010000110 (23 bits)
Octal	0o33206206
Hexadecimal	0x6D0C86

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 173 243 255 270 306 346 405 459 486 510 519 765 810 865 918 1,038 1,215 1,377 1,530 1,557 1,730 2,295 2,430 2,595 2,754 2,941 3,114 4,131 4,590 4,671 5,190 5,882 6,885 7,785 8,262 8,823

Collatz Trajectory (191 steps to reach 1)

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

7,146,630 3,573,315 10,719,946 5,359,973 16,079,920 8,039,960 4,019,980 2,009,990 1,004,995 3,014,986 1,507,493 4,522,480 2,261,240 1,130,620 565,310 282,655 847,966 423,983 1,271,950 635,975 1,907,926 953,963 2,861,890 1,430,945 4,292,836 2,146,418 1,073,209 3,219,628 1,609,814 804,907 2,414,722 1,207,361 3,622,084 1,811,042 905,521 2,716,564 1,358,282 679,141 2,037,424 1,018,712 509,356 254,678 127,339 382,018 191,009 573,028 286,514 143,257 429,772 214,886 107,443 322,330 161,165 483,496 241,748 120,874 60,437 181,312 90,656 45,328

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