4,131,365

5 × 7 × 41 × 2879

4,131,365 factors as 5 × 7 × 41 × 2879. Its 16 positive divisors give a proper-divisor sum of 1,674,715, so this integer is deficient. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 2879

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,806,080

Proper Divisor Sum 1,674,715

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4131353 ← → #4131367

Radix Representation

Decimal	4131365
Binary	1111110000101000100101 (22 bits)
Octal	0o17605045
Hexadecimal	0x3F0A25

Divisor Catalog (16)

1 5 7 35 41 205 287 1,435 2,879 14,395 20,153 100,765 118,039 590,195 826,273 4,131,365

Collatz Trajectory (273 steps to reach 1)

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

4,131,365 12,394,096 6,197,048 3,098,524 1,549,262 774,631 2,323,894 1,161,947 3,485,842 1,742,921 5,228,764 2,614,382 1,307,191 3,921,574 1,960,787 5,882,362 2,941,181 8,823,544 4,411,772 2,205,886 1,102,943 3,308,830 1,654,415 4,963,246 2,481,623 7,444,870 3,722,435 11,167,306 5,583,653 16,750,960 8,375,480 4,187,740 2,093,870 1,046,935 3,140,806 1,570,403 4,711,210 2,355,605 7,066,816 3,533,408 1,766,704 883,352 441,676 220,838 110,419 331,258 165,629 496,888 248,444 124,222 62,111 186,334 93,167 279,502 139,751 419,254 209,627 628,882 314,441 943,324

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