λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,863,377

2,863,377

33 × 11 × 31 × 311
Deficient Odd Composite

2,863,377 factors as 3^3 × 11 × 31 × 311. Its 32 positive divisors give a proper-divisor sum of 1,928,943, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 31 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,792,320
Proper Divisor Sum 1,928,943
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2863369 ← → #2863387

Radix Representation

Decimal 2863377
Binary 1010111011000100010001 (22 bits)
Octal 0o12730421
Hexadecimal 0x2BB111

Divisor Catalog (32)

1 3 9 11 27 31 33 93 99 279 297 311 341 837 933 1,023 2,799 3,069 3,421 8,397 9,207 9,641 10,263 28,923 30,789 86,769 92,367 106,051 260,307 318,153 954,459 2,863,377

Collatz Trajectory (156 steps to reach 1)

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

2,863,377 8,590,132 4,295,066 2,147,533 6,442,600 3,221,300 1,610,650 805,325 2,415,976 1,207,988 603,994 301,997 905,992 452,996 226,498 113,249 339,748 169,874 84,937 254,812 127,406 63,703 191,110 95,555 286,666 143,333 430,000 215,000 107,500 53,750 26,875 80,626 40,313 120,940 60,470 30,235 90,706 45,353 136,060 68,030 34,015 102,046 51,023 153,070 76,535 229,606 114,803 344,410 172,205 516,616 258,308 129,154 64,577 193,732 96,866 48,433 145,300 72,650 36,325 108,976

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,863,376 Browse Full Index Next Integer #2,863,378 →