4,440,874

2 × 31 × 41 × 1747

Starting at 4,440,874, the Collatz iteration reaches 1 after 167 steps. The first transition is 2220437; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 41 × 1747

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,047,936

Proper Divisor Sum 2,607,062

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4440847 ← → #4440881

Radix Representation

Decimal	4440874
Binary	10000111100001100101010 (23 bits)
Octal	0o20741452
Hexadecimal	0x43C32A

Divisor Catalog (16)

1 2 31 41 62 82 1,271 1,747 2,542 3,494 54,157 71,627 108,314 143,254 2,220,437 4,440,874

Collatz Trajectory (167 steps to reach 1)

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

4,440,874 2,220,437 6,661,312 3,330,656 1,665,328 832,664 416,332 208,166 104,083 312,250 156,125 468,376 234,188 117,094 58,547 175,642 87,821 263,464 131,732 65,866 32,933 98,800 49,400 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186

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