λ
Sequence Observatory

7,787,757

3 × 2595919
Deficient Odd Composite

Starting at 7,787,757, the Collatz iteration reaches 1 after 67 steps. The first transition is 23363272; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2595919
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,383,680
Proper Divisor Sum 2,595,923
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7787749 ← → #7787761

Radix Representation

Decimal 7787757
Binary 11101101101010011101101 (23 bits)
Octal 0o35552355
Hexadecimal 0x76D4ED

Divisor Catalog (4)

1 3 2,595,919 7,787,757

Collatz Trajectory (67 steps to reach 1)

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

7,787,757 23,363,272 11,681,636 5,840,818 2,920,409 8,761,228 4,380,614 2,190,307 6,570,922 3,285,461 9,856,384 4,928,192 2,464,096 1,232,048 616,024 308,012 154,006 77,003 231,010 115,505 346,516 173,258 86,629 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40

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