7,339,346

2 × 7 × 23² × 991

Starting at 7,339,346, the Collatz iteration reaches 1 after 142 steps. The first transition is 3669673; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 23^2 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,165,824

Proper Divisor Sum 5,826,478

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7339333 ← → #7339361

Radix Representation

Decimal	7339346
Binary	11011111111110101010010 (23 bits)
Octal	0o33776522
Hexadecimal	0x6FFD52

Divisor Catalog (24)

1 2 7 14 23 46 161 322 529 991 1,058 1,982 3,703 6,937 7,406 13,874 22,793 45,586 159,551 319,102 524,239 1,048,478 3,669,673 7,339,346

Collatz Trajectory (142 steps to reach 1)

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

7,339,346 3,669,673 11,009,020 5,504,510 2,752,255 8,256,766 4,128,383 12,385,150 6,192,575 18,577,726 9,288,863 27,866,590 13,933,295 41,799,886 20,899,943 62,699,830 31,349,915 94,049,746 47,024,873 141,074,620 70,537,310 35,268,655 105,805,966 52,902,983 158,708,950 79,354,475 238,063,426 119,031,713 357,095,140 178,547,570 89,273,785 267,821,356 133,910,678 66,955,339 200,866,018 100,433,009 301,299,028 150,649,514 75,324,757 225,974,272 112,987,136 56,493,568 28,246,784 14,123,392 7,061,696 3,530,848 1,765,424 882,712 441,356 220,678 110,339 331,018 165,509 496,528 248,264 124,132 62,066 31,033 93,100 46,550

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