7,296,846

2 × 3 × 101 × 12041

Starting at 7,296,846, the Collatz iteration reaches 1 after 191 steps. The first transition is 3648423; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 101 × 12041

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,739,408

Proper Divisor Sum 7,442,562

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7296841 ← → #7296851

Radix Representation

Decimal	7296846
Binary	11011110101011101001110 (23 bits)
Octal	0o33653516
Hexadecimal	0x6F574E

Divisor Catalog (16)

1 2 3 6 101 202 303 606 12,041 24,082 36,123 72,246 1,216,141 2,432,282 3,648,423 7,296,846

Collatz Trajectory (191 steps to reach 1)

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

7,296,846 3,648,423 10,945,270 5,472,635 16,417,906 8,208,953 24,626,860 12,313,430 6,156,715 18,470,146 9,235,073 27,705,220 13,852,610 6,926,305 20,778,916 10,389,458 5,194,729 15,584,188 7,792,094 3,896,047 11,688,142 5,844,071 17,532,214 8,766,107 26,298,322 13,149,161 39,447,484 19,723,742 9,861,871 29,585,614 14,792,807 44,378,422 22,189,211 66,567,634 33,283,817 99,851,452 49,925,726 24,962,863 74,888,590 37,444,295 112,332,886 56,166,443 168,499,330 84,249,665 252,748,996 126,374,498 63,187,249 189,561,748 94,780,874 47,390,437 142,171,312 71,085,656 35,542,828 17,771,414 8,885,707 26,657,122 13,328,561 39,985,684 19,992,842 9,996,421

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