4,387,313

7³ × 12791

4,387,313 factors as 7^3 × 12791. Its 8 positive divisors give a proper-divisor sum of 729,487, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 7^3 × 12791

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,116,800

Proper Divisor Sum 729,487

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4387301 ← → #4387351

Radix Representation

Decimal	4387313
Binary	10000101111000111110001 (23 bits)
Octal	0o20570761
Hexadecimal	0x42F1F1

Divisor Catalog (8)

1 7 49 343 12,791 89,537 626,759 4,387,313

Collatz Trajectory (198 steps to reach 1)

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

4,387,313 13,161,940 6,580,970 3,290,485 9,871,456 4,935,728 2,467,864 1,233,932 616,966 308,483 925,450 462,725 1,388,176 694,088 347,044 173,522 86,761 260,284 130,142 65,071 195,214 97,607 292,822 146,411 439,234 219,617 658,852 329,426 164,713 494,140 247,070 123,535 370,606 185,303 555,910 277,955 833,866 416,933 1,250,800 625,400 312,700 156,350 78,175 234,526 117,263 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296 593,648 296,824 148,412 74,206 37,103 111,310 55,655 166,966

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