λ
Integer Codex

1,625,767

11 × 13 × 11369
Deficient Odd Composite

For 1,625,767, the 8 positive divisors have a total of 1,910,160. Removing 1,625,767 leaves 284,393, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 13 × 11369
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,910,160
Proper Divisor Sum 284,393
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1625759 ← → #1625791

Radix Representation

Decimal 1625767
Binary 110001100111010100111 (21 bits)
Octal 0o6147247
Hexadecimal 0x18CEA7

Divisor Catalog (8)

1 11 13 143 11,369 125,059 147,797 1,625,767

Collatz Trajectory (176 steps to reach 1)

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

1,625,767 4,877,302 2,438,651 7,315,954 3,657,977 10,973,932 5,486,966 2,743,483 8,230,450 4,115,225 12,345,676 6,172,838 3,086,419 9,259,258 4,629,629 13,888,888 6,944,444 3,472,222 1,736,111 5,208,334 2,604,167 7,812,502 3,906,251 11,718,754 5,859,377 17,578,132 8,789,066 4,394,533 13,183,600 6,591,800 3,295,900 1,647,950 823,975 2,471,926 1,235,963 3,707,890 1,853,945 5,561,836 2,780,918 1,390,459 4,171,378 2,085,689 6,257,068 3,128,534 1,564,267 4,692,802 2,346,401 7,039,204 3,519,602 1,759,801 5,279,404 2,639,702 1,319,851 3,959,554 1,979,777 5,939,332 2,969,666 1,484,833 4,454,500 2,227,250

More profiles

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