λ
Prime Ledger

2,719,743

3 × 13 × 69737
Deficient Odd Composite

2,719,743 has the prime decomposition 3 × 13 × 69737. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 69737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,905,328
Proper Divisor Sum 1,185,585
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2719741 ← → #2719747

Radix Representation

Decimal 2719743
Binary 1010010111111111111111 (22 bits)
Octal 0o12277777
Hexadecimal 0x297FFF

Divisor Catalog (8)

1 3 13 39 69,737 209,211 906,581 2,719,743

Collatz Trajectory (337 steps to reach 1)

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

2,719,743 8,159,230 4,079,615 12,238,846 6,119,423 18,358,270 9,179,135 27,537,406 13,768,703 41,306,110 20,653,055 61,959,166 30,979,583 92,938,750 46,469,375 139,408,126 69,704,063 209,112,190 104,556,095 313,668,286 156,834,143 470,502,430 235,251,215 705,753,646 352,876,823 1,058,630,470 529,315,235 1,587,945,706 793,972,853 2,381,918,560 1,190,959,280 595,479,640 297,739,820 148,869,910 74,434,955 223,304,866 111,652,433 334,957,300 167,478,650 83,739,325 251,217,976 125,608,988 62,804,494 31,402,247 94,206,742 47,103,371 141,310,114 70,655,057 211,965,172 105,982,586 52,991,293 158,973,880 79,486,940 39,743,470 19,871,735 59,615,206 29,807,603 89,422,810 44,711,405 134,134,216

More profiles

← Previous Integer #2,719,742 Browse Full Index Next Integer #2,719,744 →