λ
Sigma Notebook

2,245,704

23 × 3 × 137 × 683
Abundant Even Composite

2,245,704 is even and not a perfect square. Its factorization is 2^3 × 3 × 137 × 683 and its 32 divisors sum to 5,663,520.

Prime Factor Structure

Factorization String 2^3 × 3 × 137 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,663,520
Proper Divisor Sum 3,417,816
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2245687 ← → #2245721

Radix Representation

Decimal 2245704
Binary 1000100100010001001000 (22 bits)
Octal 0o10442110
Hexadecimal 0x224448

Divisor Catalog (32)

1 2 3 4 6 8 12 24 137 274 411 548 683 822 1,096 1,366 1,644 2,049 2,732 3,288 4,098 5,464 8,196 16,392 93,571 187,142 280,713 374,284 561,426 748,568 1,122,852 2,245,704

Collatz Trajectory (135 steps to reach 1)

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

2,245,704 1,122,852 561,426 280,713 842,140 421,070 210,535 631,606 315,803 947,410 473,705 1,421,116 710,558 355,279 1,065,838 532,919 1,598,758 799,379 2,398,138 1,199,069 3,597,208 1,798,604 899,302 449,651 1,348,954 674,477 2,023,432 1,011,716 505,858 252,929 758,788 379,394 189,697 569,092 284,546 142,273 426,820 213,410 106,705 320,116 160,058 80,029 240,088 120,044 60,022 30,011 90,034 45,017 135,052 67,526 33,763 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374

More profiles

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