λ
Integer Codex

7,440,122

2 × 109 × 34129
Deficient Even Composite

For 7,440,122, the 8 positive divisors have a total of 11,262,900. Removing 7,440,122 leaves 3,822,778, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 109 × 34129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,262,900
Proper Divisor Sum 3,822,778
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7440113 ← → #7440127

Radix Representation

Decimal 7440122
Binary 11100011000011011111010 (23 bits)
Octal 0o34303372
Hexadecimal 0x7186FA

Divisor Catalog (8)

1 2 109 218 34,129 68,258 3,720,061 7,440,122

Collatz Trajectory (173 steps to reach 1)

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

7,440,122 3,720,061 11,160,184 5,580,092 2,790,046 1,395,023 4,185,070 2,092,535 6,277,606 3,138,803 9,416,410 4,708,205 14,124,616 7,062,308 3,531,154 1,765,577 5,296,732 2,648,366 1,324,183 3,972,550 1,986,275 5,958,826 2,979,413 8,938,240 4,469,120 2,234,560 1,117,280 558,640 279,320 139,660 69,830 34,915 104,746 52,373 157,120 78,560 39,280 19,640 9,820 4,910 2,455 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220

More profiles

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