4,400,757

3³ × 389 × 419

4,400,757 factors as 3^3 × 389 × 419. Its 16 positive divisors give a proper-divisor sum of 2,151,243, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 389 × 419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,552,000

Proper Divisor Sum 2,151,243

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4400731 ← → #4400771

Radix Representation

Decimal	4400757
Binary	10000110010011001110101 (23 bits)
Octal	0o20623165
Hexadecimal	0x432675

Divisor Catalog (16)

1 3 9 27 389 419 1,167 1,257 3,501 3,771 10,503 11,313 162,991 488,973 1,466,919 4,400,757

Collatz Trajectory (87 steps to reach 1)

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

4,400,757 13,202,272 6,601,136 3,300,568 1,650,284 825,142 412,571 1,237,714 618,857 1,856,572 928,286 464,143 1,392,430 696,215 2,088,646 1,044,323 3,132,970 1,566,485 4,699,456 2,349,728 1,174,864 587,432 293,716 146,858 73,429 220,288 110,144 55,072 27,536 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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