λ
Sigma Notebook

7,422,410

2 × 5 × 742241
Deficient Even Composite

7,422,410 is even and not a perfect square. Its factorization is 2 × 5 × 742241 and its 8 divisors sum to 13,360,356.

Prime Factor Structure

Factorization String 2 × 5 × 742241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,360,356
Proper Divisor Sum 5,937,946
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7422409 ← → #7422413

Radix Representation

Decimal 7422410
Binary 11100010100000111001010 (23 bits)
Octal 0o34240712
Hexadecimal 0x7141CA

Divisor Catalog (8)

1 2 5 10 742,241 1,484,482 3,711,205 7,422,410

Collatz Trajectory (173 steps to reach 1)

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

7,422,410 3,711,205 11,133,616 5,566,808 2,783,404 1,391,702 695,851 2,087,554 1,043,777 3,131,332 1,565,666 782,833 2,348,500 1,174,250 587,125 1,761,376 880,688 440,344 220,172 110,086 55,043 165,130 82,565 247,696 123,848 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218

More profiles

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