7,322,379

3 × 61 × 40013

Starting at 7,322,379, the Collatz iteration reaches 1 after 173 steps. The first transition is 21967138; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 40013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,923,472

Proper Divisor Sum 2,601,093

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7322351 ← → #7322389

Radix Representation

Decimal	7322379
Binary	11011111011101100001011 (23 bits)
Octal	0o33735413
Hexadecimal	0x6FBB0B

Divisor Catalog (8)

1 3 61 183 40,013 120,039 2,440,793 7,322,379

Collatz Trajectory (173 steps to reach 1)

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

7,322,379 21,967,138 10,983,569 32,950,708 16,475,354 8,237,677 24,713,032 12,356,516 6,178,258 3,089,129 9,267,388 4,633,694 2,316,847 6,950,542 3,475,271 10,425,814 5,212,907 15,638,722 7,819,361 23,458,084 11,729,042 5,864,521 17,593,564 8,796,782 4,398,391 13,195,174 6,597,587 19,792,762 9,896,381 29,689,144 14,844,572 7,422,286 3,711,143 11,133,430 5,566,715 16,700,146 8,350,073 25,050,220 12,525,110 6,262,555 18,787,666 9,393,833 28,181,500 14,090,750 7,045,375 21,136,126 10,568,063 31,704,190 15,852,095 47,556,286 23,778,143 71,334,430 35,667,215 107,001,646 53,500,823 160,502,470 80,251,235 240,753,706 120,376,853 361,130,560

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