λ
Math Directory

3,931,569

32 × 436841
Deficient Odd Composite

3,931,569 factors as 3^2 × 436841. Its 6 positive divisors give a proper-divisor sum of 1,747,377, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^2 × 436841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,678,946
Proper Divisor Sum 1,747,377
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3931567 ← → #3931589

Radix Representation

Decimal 3931569
Binary 1110111111110110110001 (22 bits)
Octal 0o16776661
Hexadecimal 0x3BFDB1

Divisor Catalog (6)

1 3 9 436,841 1,310,523 3,931,569

Collatz Trajectory (172 steps to reach 1)

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

3,931,569 11,794,708 5,897,354 2,948,677 8,846,032 4,423,016 2,211,508 1,105,754 552,877 1,658,632 829,316 414,658 207,329 621,988 310,994 155,497 466,492 233,246 116,623 349,870 174,935 524,806 262,403 787,210 393,605 1,180,816 590,408 295,204 147,602 73,801 221,404 110,702 55,351 166,054 83,027 249,082 124,541 373,624 186,812 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937

More profiles

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