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7,422,650

2 × 52 × 53 × 2801
Deficient Even Composite

7,422,650 factors as 2 × 5^2 × 53 × 2801. Its 24 positive divisors give a proper-divisor sum of 6,648,994, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 53 × 2801
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,071,644
Proper Divisor Sum 6,648,994
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7422647 ← → #7422683

Radix Representation

Decimal 7422650
Binary 11100010100001010111010 (23 bits)
Octal 0o34241272
Hexadecimal 0x7142BA

Divisor Catalog (24)

1 2 5 10 25 50 53 106 265 530 1,325 2,650 2,801 5,602 14,005 28,010 70,025 140,050 148,453 296,906 742,265 1,484,530 3,711,325 7,422,650

Collatz Trajectory (173 steps to reach 1)

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

7,422,650 3,711,325 11,133,976 5,566,988 2,783,494 1,391,747 4,175,242 2,087,621 6,262,864 3,131,432 1,565,716 782,858 391,429 1,174,288 587,144 293,572 146,786 73,393 220,180 110,090 55,045 165,136 82,568 41,284 20,642 10,321 30,964 15,482 7,741 23,224 11,612 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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