λ
Integer Codex

7,372,045

5 × 257 × 5737
Deficient Odd Composite

For 7,372,045, the 8 positive divisors have a total of 8,882,424. Removing 7,372,045 leaves 1,510,379, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 257 × 5737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,882,424
Proper Divisor Sum 1,510,379
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7372037 ← → #7372063

Radix Representation

Decimal 7372045
Binary 11100000111110100001101 (23 bits)
Octal 0o34076415
Hexadecimal 0x707D0D

Divisor Catalog (8)

1 5 257 1,285 5,737 28,685 1,474,409 7,372,045

Collatz Trajectory (142 steps to reach 1)

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

7,372,045 22,116,136 11,058,068 5,529,034 2,764,517 8,293,552 4,146,776 2,073,388 1,036,694 518,347 1,555,042 777,521 2,332,564 1,166,282 583,141 1,749,424 874,712 437,356 218,678 109,339 328,018 164,009 492,028 246,014 123,007 369,022 184,511 553,534 276,767 830,302 415,151 1,245,454 622,727 1,868,182 934,091 2,802,274 1,401,137 4,203,412 2,101,706 1,050,853 3,152,560 1,576,280 788,140 394,070 197,035 591,106 295,553 886,660 443,330 221,665 664,996 332,498 166,249 498,748 249,374 124,687 374,062 187,031 561,094 280,547

More profiles

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