λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,212,693

46,212,693

3 × 192 × 71 × 601
Deficient Odd Composite

46,212,693 factors as 3 × 19^2 × 71 × 601. Its 24 positive divisors give a proper-divisor sum of 19,843,563, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 19^2 × 71 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 66,056,256
Proper Divisor Sum 19,843,563
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #46212679 ← → #46212707

Radix Representation

Decimal 46212693
Binary 10110000010010011001010101 (26 bits)
Octal 0o260223125
Hexadecimal 0x2C12655

Divisor Catalog (24)

1 3 19 57 71 213 361 601 1,083 1,349 1,803 4,047 11,419 25,631 34,257 42,671 76,893 128,013 216,961 650,883 810,749 2,432,247 15,404,231 46,212,693

Collatz Trajectory (124 steps to reach 1)

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

46,212,693 138,638,080 69,319,040 34,659,520 17,329,760 8,664,880 4,332,440 2,166,220 1,083,110 541,555 1,624,666 812,333 2,437,000 1,218,500 609,250 304,625 913,876 456,938 228,469 685,408 342,704 171,352 85,676 42,838 21,419 64,258 32,129 96,388 48,194 24,097 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #46,212,692 Browse Full Index Next Integer #46,212,694 →