7,294,458

2 × 3 × 1215743

Starting at 7,294,458, the Collatz iteration reaches 1 after 222 steps. The first transition is 3647229; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1215743

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,588,928

Proper Divisor Sum 7,294,470

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7294453 ← → #7294459

Radix Representation

Decimal	7294458
Binary	11011110100110111111010 (23 bits)
Octal	0o33646772
Hexadecimal	0x6F4DFA

Divisor Catalog (8)

1 2 3 6 1,215,743 2,431,486 3,647,229 7,294,458

Collatz Trajectory (222 steps to reach 1)

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

7,294,458 3,647,229 10,941,688 5,470,844 2,735,422 1,367,711 4,103,134 2,051,567 6,154,702 3,077,351 9,232,054 4,616,027 13,848,082 6,924,041 20,772,124 10,386,062 5,193,031 15,579,094 7,789,547 23,368,642 11,684,321 35,052,964 17,526,482 8,763,241 26,289,724 13,144,862 6,572,431 19,717,294 9,858,647 29,575,942 14,787,971 44,363,914 22,181,957 66,545,872 33,272,936 16,636,468 8,318,234 4,159,117 12,477,352 6,238,676 3,119,338 1,559,669 4,679,008 2,339,504 1,169,752 584,876 292,438 146,219 438,658 219,329 657,988 328,994 164,497 493,492 246,746 123,373 370,120 185,060 92,530 46,265

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