6,390,972

2² × 3² × 7² × 3623

Starting at 6,390,972, the Collatz iteration reaches 1 after 196 steps. The first transition is 3195486; the starting value is even with 54 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 3623

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 18,797,688

Proper Divisor Sum 12,406,716

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6390971 ← → #6390983

Radix Representation

Decimal	6390972
Binary	11000011000010010111100 (23 bits)
Octal	0o30302274
Hexadecimal	0x6184BC

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,764 3,623 7,246 10,869 14,492 21,738 25,361 32,607 43,476 50,722 65,214 76,083 101,444 130,428 152,166 177,527 228,249 304,332 355,054 456,498 532,581 710,108 912,996 1,065,162 1,597,743 2,130,324 3,195,486 6,390,972

Collatz Trajectory (196 steps to reach 1)

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

6,390,972 3,195,486 1,597,743 4,793,230 2,396,615 7,189,846 3,594,923 10,784,770 5,392,385 16,177,156 8,088,578 4,044,289 12,132,868 6,066,434 3,033,217 9,099,652 4,549,826 2,274,913 6,824,740 3,412,370 1,706,185 5,118,556 2,559,278 1,279,639 3,838,918 1,919,459 5,758,378 2,879,189 8,637,568 4,318,784 2,159,392 1,079,696 539,848 269,924 134,962 67,481 202,444 101,222 50,611 151,834 75,917 227,752 113,876 56,938 28,469 85,408 42,704 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127

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