λ
Sequence Observatory

7,913,577

3 × 7 × 376837
Deficient Odd Composite

Starting at 7,913,577, the Collatz iteration reaches 1 after 199 steps. The first transition is 23740732; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 376837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,058,816
Proper Divisor Sum 4,145,239
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7913573 ← → #7913599

Radix Representation

Decimal 7913577
Binary 11110001100000001101001 (23 bits)
Octal 0o36140151
Hexadecimal 0x78C069

Divisor Catalog (8)

1 3 7 21 376,837 1,130,511 2,637,859 7,913,577

Collatz Trajectory (199 steps to reach 1)

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

7,913,577 23,740,732 11,870,366 5,935,183 17,805,550 8,902,775 26,708,326 13,354,163 40,062,490 20,031,245 60,093,736 30,046,868 15,023,434 7,511,717 22,535,152 11,267,576 5,633,788 2,816,894 1,408,447 4,225,342 2,112,671 6,338,014 3,169,007 9,507,022 4,753,511 14,260,534 7,130,267 21,390,802 10,695,401 32,086,204 16,043,102 8,021,551 24,064,654 12,032,327 36,096,982 18,048,491 54,145,474 27,072,737 81,218,212 40,609,106 20,304,553 60,913,660 30,456,830 15,228,415 45,685,246 22,842,623 68,527,870 34,263,935 102,791,806 51,395,903 154,187,710 77,093,855 231,281,566 115,640,783 346,922,350 173,461,175 520,383,526 260,191,763 780,575,290 390,287,645

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