7,322,321

53 × 138157

Starting at 7,322,321, the Collatz iteration reaches 1 after 204 steps. The first transition is 21966964; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 53 × 138157

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,460,532

Proper Divisor Sum 138,211

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7322309 ← → #7322351

Radix Representation

Decimal	7322321
Binary	11011111011101011010001 (23 bits)
Octal	0o33735321
Hexadecimal	0x6FBAD1

Divisor Catalog (4)

1 53 138,157 7,322,321

Collatz Trajectory (204 steps to reach 1)

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

7,322,321 21,966,964 10,983,482 5,491,741 16,475,224 8,237,612 4,118,806 2,059,403 6,178,210 3,089,105 9,267,316 4,633,658 2,316,829 6,950,488 3,475,244 1,737,622 868,811 2,606,434 1,303,217 3,909,652 1,954,826 977,413 2,932,240 1,466,120 733,060 366,530 183,265 549,796 274,898 137,449 412,348 206,174 103,087 309,262 154,631 463,894 231,947 695,842 347,921 1,043,764 521,882 260,941 782,824 391,412 195,706 97,853 293,560 146,780 73,390 36,695 110,086 55,043 165,130 82,565 247,696 123,848 61,924 30,962 15,481 46,444

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