4,402,744

2³ × 31 × 41 × 433

4,402,744 has digital root 7. The neighboring primes are 4402721 and 4402747; its proper-divisor sum differs from the starting integer by -56,048.

Prime Factor Structure

Factorization String 2^3 × 31 × 41 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,749,440

Proper Divisor Sum 4,346,696

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4402721 ← → #4402747

Radix Representation

Decimal	4402744
Binary	10000110010111000111000 (23 bits)
Octal	0o20627070
Hexadecimal	0x432E38

Divisor Catalog (32)

1 2 4 8 31 41 62 82 124 164 248 328 433 866 1,271 1,732 2,542 3,464 5,084 10,168 13,423 17,753 26,846 35,506 53,692 71,012 107,384 142,024 550,343 1,100,686 2,201,372 4,402,744

Collatz Trajectory (87 steps to reach 1)

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

4,402,744 2,201,372 1,100,686 550,343 1,651,030 825,515 2,476,546 1,238,273 3,714,820 1,857,410 928,705 2,786,116 1,393,058 696,529 2,089,588 1,044,794 522,397 1,567,192 783,596 391,798 195,899 587,698 293,849 881,548 440,774 220,387 661,162 330,581 991,744 495,872 247,936 123,968 61,984 30,992 15,496 7,748 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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