λ
Sigma Notebook

2,245,624

23 × 280703
Deficient Even Composite

2,245,624 is even and not a perfect square. Its factorization is 2^3 × 280703 and its 8 divisors sum to 4,210,560.

Prime Factor Structure

Factorization String 2^3 × 280703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,210,560
Proper Divisor Sum 1,964,936
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2245619 ← → #2245627

Radix Representation

Decimal 2245624
Binary 1000100100001111111000 (22 bits)
Octal 0o10441770
Hexadecimal 0x2243F8

Divisor Catalog (8)

1 2 4 8 280,703 561,406 1,122,812 2,245,624

Collatz Trajectory (148 steps to reach 1)

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

2,245,624 1,122,812 561,406 280,703 842,110 421,055 1,263,166 631,583 1,894,750 947,375 2,842,126 1,421,063 4,263,190 2,131,595 6,394,786 3,197,393 9,592,180 4,796,090 2,398,045 7,194,136 3,597,068 1,798,534 899,267 2,697,802 1,348,901 4,046,704 2,023,352 1,011,676 505,838 252,919 758,758 379,379 1,138,138 569,069 1,707,208 853,604 426,802 213,401 640,204 320,102 160,051 480,154 240,077 720,232 360,116 180,058 90,029 270,088 135,044 67,522 33,761 101,284 50,642 25,321 75,964 37,982 18,991 56,974 28,487 85,462

More profiles

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