7,308,609

3 × 7 × 11 × 29 × 1091

Starting at 7,308,609, the Collatz iteration reaches 1 after 160 steps. The first transition is 21925828; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 29 × 1091

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,579,840

Proper Divisor Sum 5,271,231

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7308601 ← → #7308611

Radix Representation

Decimal	7308609
Binary	11011111000010101000001 (23 bits)
Octal	0o33702501
Hexadecimal	0x6F8541

Divisor Catalog (32)

1 3 7 11 21 29 33 77 87 203 231 319 609 957 1,091 2,233 3,273 6,699 7,637 12,001 22,911 31,639 36,003 84,007 94,917 221,473 252,021 348,029 664,419 1,044,087 2,436,203 7,308,609

Collatz Trajectory (160 steps to reach 1)

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

7,308,609 21,925,828 10,962,914 5,481,457 16,444,372 8,222,186 4,111,093 12,333,280 6,166,640 3,083,320 1,541,660 770,830 385,415 1,156,246 578,123 1,734,370 867,185 2,601,556 1,300,778 650,389 1,951,168 975,584 487,792 243,896 121,948 60,974 30,487 91,462 45,731 137,194 68,597 205,792 102,896 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288

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