λ
Integer Codex

1,777,661

1777661
Deficient Odd Prime

For 1,777,661, the 2 positive divisors have a total of 1,777,662. Removing 1,777,661 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1777661
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,777,662
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1777609 ← → #1777687

Radix Representation

Decimal 1777661
Binary 110110001111111111101 (21 bits)
Octal 0o6617775
Hexadecimal 0x1B1FFD

Divisor Catalog (2)

Collatz Trajectory (264 steps to reach 1)

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

1,777,661 5,332,984 2,666,492 1,333,246 666,623 1,999,870 999,935 2,999,806 1,499,903 4,499,710 2,249,855 6,749,566 3,374,783 10,124,350 5,062,175 15,186,526 7,593,263 22,779,790 11,389,895 34,169,686 17,084,843 51,254,530 25,627,265 76,881,796 38,440,898 19,220,449 57,661,348 28,830,674 14,415,337 43,246,012 21,623,006 10,811,503 32,434,510 16,217,255 48,651,766 24,325,883 72,977,650 36,488,825 109,466,476 54,733,238 27,366,619 82,099,858 41,049,929 123,149,788 61,574,894 30,787,447 92,362,342 46,181,171 138,543,514 69,271,757 207,815,272 103,907,636 51,953,818 25,976,909 77,930,728 38,965,364 19,482,682 9,741,341 29,224,024 14,612,012

More profiles

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