7,051,768

2³ × 881471

Starting at 7,051,768, the Collatz iteration reaches 1 after 222 steps. The first transition is 3525884; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 881471

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,222,080

Proper Divisor Sum 6,170,312

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7051757 ← → #7051769

Radix Representation

Decimal	7051768
Binary	11010111001100111111000 (23 bits)
Octal	0o32714770
Hexadecimal	0x6B99F8

Divisor Catalog (8)

1 2 4 8 881,471 1,762,942 3,525,884 7,051,768

Collatz Trajectory (222 steps to reach 1)

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

7,051,768 3,525,884 1,762,942 881,471 2,644,414 1,322,207 3,966,622 1,983,311 5,949,934 2,974,967 8,924,902 4,462,451 13,387,354 6,693,677 20,081,032 10,040,516 5,020,258 2,510,129 7,530,388 3,765,194 1,882,597 5,647,792 2,823,896 1,411,948 705,974 352,987 1,058,962 529,481 1,588,444 794,222 397,111 1,191,334 595,667 1,787,002 893,501 2,680,504 1,340,252 670,126 335,063 1,005,190 502,595 1,507,786 753,893 2,261,680 1,130,840 565,420 282,710 141,355 424,066 212,033 636,100 318,050 159,025 477,076 238,538 119,269 357,808 178,904 89,452 44,726

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