7,473,588

2² × 3 × 367 × 1697

Starting at 7,473,588, the Collatz iteration reaches 1 after 98 steps. The first transition is 3736794; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 367 × 1697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,496,192

Proper Divisor Sum 10,022,604

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7473581 ← → #7473607

Radix Representation

Decimal	7473588
Binary	11100100000100110110100 (23 bits)
Octal	0o34404664
Hexadecimal	0x7209B4

Divisor Catalog (24)

1 2 3 4 6 12 367 734 1,101 1,468 1,697 2,202 3,394 4,404 5,091 6,788 10,182 20,364 622,799 1,245,598 1,868,397 2,491,196 3,736,794 7,473,588

Collatz Trajectory (98 steps to reach 1)

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

7,473,588 3,736,794 1,868,397 5,605,192 2,802,596 1,401,298 700,649 2,101,948 1,050,974 525,487 1,576,462 788,231 2,364,694 1,182,347 3,547,042 1,773,521 5,320,564 2,660,282 1,330,141 3,990,424 1,995,212 997,606 498,803 1,496,410 748,205 2,244,616 1,122,308 561,154 280,577 841,732 420,866 210,433 631,300 315,650 157,825 473,476 236,738 118,369 355,108 177,554 88,777 266,332 133,166 66,583 199,750 99,875 299,626 149,813 449,440 224,720 112,360 56,180 28,090 14,045 42,136 21,068 10,534 5,267 15,802 7,901

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