7,173,032

2³ × 19 × 41 × 1151

Starting at 7,173,032, the Collatz iteration reaches 1 after 142 steps. The first transition is 3586516; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 41 × 1151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,515,200

Proper Divisor Sum 7,342,168

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7173029 ← → #7173071

Radix Representation

Decimal	7173032
Binary	11011010111001110101000 (23 bits)
Octal	0o33271650
Hexadecimal	0x6D73A8

Divisor Catalog (32)

1 2 4 8 19 38 41 76 82 152 164 328 779 1,151 1,558 2,302 3,116 4,604 6,232 9,208 21,869 43,738 47,191 87,476 94,382 174,952 188,764 377,528 896,629 1,793,258 3,586,516 7,173,032

Collatz Trajectory (142 steps to reach 1)

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

7,173,032 3,586,516 1,793,258 896,629 2,689,888 1,344,944 672,472 336,236 168,118 84,059 252,178 126,089 378,268 189,134 94,567 283,702 141,851 425,554 212,777 638,332 319,166 159,583 478,750 239,375 718,126 359,063 1,077,190 538,595 1,615,786 807,893 2,423,680 1,211,840 605,920 302,960 151,480 75,740 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502

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