6,881,632

2⁵ × 215051

Starting at 6,881,632, the Collatz iteration reaches 1 after 103 steps. The first transition is 3440816; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 215051

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,548,276

Proper Divisor Sum 6,666,644

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6881603 ← → #6881639

Radix Representation

Decimal	6881632
Binary	11010010000000101100000 (23 bits)
Octal	0o32200540
Hexadecimal	0x690160

Divisor Catalog (12)

1 2 4 8 16 32 215,051 430,102 860,204 1,720,408 3,440,816 6,881,632

Collatz Trajectory (103 steps to reach 1)

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

6,881,632 3,440,816 1,720,408 860,204 430,102 215,051 645,154 322,577 967,732 483,866 241,933 725,800 362,900 181,450 90,725 272,176 136,088 68,044 34,022 17,011 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280

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