λ
Integer Codex

7,564,387

251 × 30137
Deficient Odd Composite

For 7,564,387, the 4 positive divisors have a total of 7,594,776. Removing 7,564,387 leaves 30,389, which gives the deficient classification.

Prime Factor Structure

Factorization String 251 × 30137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,594,776
Proper Divisor Sum 30,389
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7564379 ← → #7564397

Radix Representation

Decimal 7564387
Binary 11100110110110001100011 (23 bits)
Octal 0o34666143
Hexadecimal 0x736C63

Divisor Catalog (4)

1 251 30,137 7,564,387

Collatz Trajectory (160 steps to reach 1)

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

7,564,387 22,693,162 11,346,581 34,039,744 17,019,872 8,509,936 4,254,968 2,127,484 1,063,742 531,871 1,595,614 797,807 2,393,422 1,196,711 3,590,134 1,795,067 5,385,202 2,692,601 8,077,804 4,038,902 2,019,451 6,058,354 3,029,177 9,087,532 4,543,766 2,271,883 6,815,650 3,407,825 10,223,476 5,111,738 2,555,869 7,667,608 3,833,804 1,916,902 958,451 2,875,354 1,437,677 4,313,032 2,156,516 1,078,258 539,129 1,617,388 808,694 404,347 1,213,042 606,521 1,819,564 909,782 454,891 1,364,674 682,337 2,047,012 1,023,506 511,753 1,535,260 767,630 383,815 1,151,446 575,723 1,727,170

More profiles

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