λ
Integer Codex

7,807,627

97 × 80491
Deficient Odd Composite

For 7,807,627, the 4 positive divisors have a total of 7,888,216. Removing 7,807,627 leaves 80,589, which gives the deficient classification.

Prime Factor Structure

Factorization String 97 × 80491
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,888,216
Proper Divisor Sum 80,589
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7807601 ← → #7807637

Radix Representation

Decimal 7807627
Binary 11101110010001010001011 (23 bits)
Octal 0o35621213
Hexadecimal 0x77228B

Divisor Catalog (4)

1 97 80,491 7,807,627

Collatz Trajectory (129 steps to reach 1)

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

7,807,627 23,422,882 11,711,441 35,134,324 17,567,162 8,783,581 26,350,744 13,175,372 6,587,686 3,293,843 9,881,530 4,940,765 14,822,296 7,411,148 3,705,574 1,852,787 5,558,362 2,779,181 8,337,544 4,168,772 2,084,386 1,042,193 3,126,580 1,563,290 781,645 2,344,936 1,172,468 586,234 293,117 879,352 439,676 219,838 109,919 329,758 164,879 494,638 247,319 741,958 370,979 1,112,938 556,469 1,669,408 834,704 417,352 208,676 104,338 52,169 156,508 78,254 39,127 117,382 58,691 176,074 88,037 264,112 132,056 66,028 33,014 16,507 49,522

More profiles

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