7,874,564

2² × 1968641

Starting at 7,874,564, the Collatz iteration reaches 1 after 261 steps. The first transition is 3937282; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1968641

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,780,494

Proper Divisor Sum 5,905,930

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7874561 ← → #7874591

Radix Representation

Decimal	7874564
Binary	11110000010100000000100 (23 bits)
Octal	0o36024004
Hexadecimal	0x782804

Divisor Catalog (6)

1 2 4 1,968,641 3,937,282 7,874,564

Collatz Trajectory (261 steps to reach 1)

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

7,874,564 3,937,282 1,968,641 5,905,924 2,952,962 1,476,481 4,429,444 2,214,722 1,107,361 3,322,084 1,661,042 830,521 2,491,564 1,245,782 622,891 1,868,674 934,337 2,803,012 1,401,506 700,753 2,102,260 1,051,130 525,565 1,576,696 788,348 394,174 197,087 591,262 295,631 886,894 443,447 1,330,342 665,171 1,995,514 997,757 2,993,272 1,496,636 748,318 374,159 1,122,478 561,239 1,683,718 841,859 2,525,578 1,262,789 3,788,368 1,894,184 947,092 473,546 236,773 710,320 355,160 177,580 88,790 44,395 133,186 66,593 199,780 99,890 49,945

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