7,329,604

2² × 281 × 6521

Starting at 7,329,604, the Collatz iteration reaches 1 after 222 steps. The first transition is 3664802; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 281 × 6521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,874,428

Proper Divisor Sum 5,544,824

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7329593 ← → #7329613

Radix Representation

Decimal	7329604
Binary	11011111101011101000100 (23 bits)
Octal	0o33753504
Hexadecimal	0x6FD744

Divisor Catalog (12)

1 2 4 281 562 1,124 6,521 13,042 26,084 1,832,401 3,664,802 7,329,604

Collatz Trajectory (222 steps to reach 1)

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

7,329,604 3,664,802 1,832,401 5,497,204 2,748,602 1,374,301 4,122,904 2,061,452 1,030,726 515,363 1,546,090 773,045 2,319,136 1,159,568 579,784 289,892 144,946 72,473 217,420 108,710 54,355 163,066 81,533 244,600 122,300 61,150 30,575 91,726 45,863 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535 130,606 65,303 195,910 97,955 293,866 146,933 440,800 220,400 110,200 55,100 27,550 13,775 41,326 20,663 61,990 30,995 92,986 46,493

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