λ
Sequence Observatory

5,877,777

3 × 61 × 32119
Deficient Odd Composite

Starting at 5,877,777, the Collatz iteration reaches 1 after 77 steps. The first transition is 17633332; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 32119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,965,760
Proper Divisor Sum 2,087,983
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5877769 ← → #5877779

Radix Representation

Decimal 5877777
Binary 10110011011000000010001 (23 bits)
Octal 0o26330021
Hexadecimal 0x59B011

Divisor Catalog (8)

1 3 61 183 32,119 96,357 1,959,259 5,877,777

Collatz Trajectory (77 steps to reach 1)

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

5,877,777 17,633,332 8,816,666 4,408,333 13,225,000 6,612,500 3,306,250 1,653,125 4,959,376 2,479,688 1,239,844 619,922 309,961 929,884 464,942 232,471 697,414 348,707 1,046,122 523,061 1,569,184 784,592 392,296 196,148 98,074 49,037 147,112 73,556 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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