7,294,024

2³ × 19 × 47 × 1021

Starting at 7,294,024, the Collatz iteration reaches 1 after 85 steps. The first transition is 3647012; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 47 × 1021

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,716,800

Proper Divisor Sum 7,422,776

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7293989 ← → #7294093

Radix Representation

Decimal	7294024
Binary	11011110100110001001000 (23 bits)
Octal	0o33646110
Hexadecimal	0x6F4C48

Divisor Catalog (32)

1 2 4 8 19 38 47 76 94 152 188 376 893 1,021 1,786 2,042 3,572 4,084 7,144 8,168 19,399 38,798 47,987 77,596 95,974 155,192 191,948 383,896 911,753 1,823,506 3,647,012 7,294,024

Collatz Trajectory (85 steps to reach 1)

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

7,294,024 3,647,012 1,823,506 911,753 2,735,260 1,367,630 683,815 2,051,446 1,025,723 3,077,170 1,538,585 4,615,756 2,307,878 1,153,939 3,461,818 1,730,909 5,192,728 2,596,364 1,298,182 649,091 1,947,274 973,637 2,920,912 1,460,456 730,228 365,114 182,557 547,672 273,836 136,918 68,459 205,378 102,689 308,068 154,034 77,017 231,052 115,526 57,763 173,290 86,645 259,936 129,968 64,984 32,492 16,246 8,123 24,370 12,185 36,556 18,278 9,139 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712

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