λ
Sigma Notebook

2,419,340

22 × 5 × 7 × 11 × 1571
Abundant Even Composite

2,419,340 is even and not a perfect square. Its factorization is 2^2 × 5 × 7 × 11 × 1571 and its 48 divisors sum to 6,338,304.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 1571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,338,304
Proper Divisor Sum 3,918,964
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2419331 ← → #2419343

Radix Representation

Decimal 2419340
Binary 1001001110101010001100 (22 bits)
Octal 0o11165214
Hexadecimal 0x24EA8C

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 1,571 3,142 6,284 7,855 10,997 15,710 17,281 21,994 31,420 34,562 43,988 54,985 69,124 86,405 109,970 120,967 172,810 219,940 241,934 345,620 483,868 604,835 1,209,670 2,419,340

Collatz Trajectory (73 steps to reach 1)

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

2,419,340 1,209,670 604,835 1,814,506 907,253 2,721,760 1,360,880 680,440 340,220 170,110 85,055 255,166 127,583 382,750 191,375 574,126 287,063 861,190 430,595 1,291,786 645,893 1,937,680 968,840 484,420 242,210 121,105 363,316 181,658 90,829 272,488 136,244 68,122 34,061 102,184 51,092 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560

More profiles

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