7,223,294

2 × 13 × 367 × 757

Starting at 7,223,294, the Collatz iteration reaches 1 after 173 steps. The first transition is 3611647; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 367 × 757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,715,648

Proper Divisor Sum 4,492,354

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7223267 ← → #7223303

Radix Representation

Decimal	7223294
Binary	11011100011011111111110 (23 bits)
Octal	0o33433776
Hexadecimal	0x6E37FE

Divisor Catalog (16)

1 2 13 26 367 734 757 1,514 4,771 9,542 9,841 19,682 277,819 555,638 3,611,647 7,223,294

Collatz Trajectory (173 steps to reach 1)

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

7,223,294 3,611,647 10,834,942 5,417,471 16,252,414 8,126,207 24,378,622 12,189,311 36,567,934 18,283,967 54,851,902 27,425,951 82,277,854 41,138,927 123,416,782 61,708,391 185,125,174 92,562,587 277,687,762 138,843,881 416,531,644 208,265,822 104,132,911 312,398,734 156,199,367 468,598,102 234,299,051 702,897,154 351,448,577 1,054,345,732 527,172,866 263,586,433 790,759,300 395,379,650 197,689,825 593,069,476 296,534,738 148,267,369 444,802,108 222,401,054 111,200,527 333,601,582 166,800,791 500,402,374 250,201,187 750,603,562 375,301,781 1,125,905,344 562,952,672 281,476,336 140,738,168 70,369,084 35,184,542 17,592,271 52,776,814 26,388,407 79,165,222 39,582,611 118,747,834 59,373,917

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