6,771,920

2⁴ × 5 × 84649

6,771,920 factors as 2^4 × 5 × 84649. Its 20 positive divisors give a proper-divisor sum of 8,972,980, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 84649

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,744,900

Proper Divisor Sum 8,972,980

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6771917 ← → #6771937

Radix Representation

Decimal	6771920
Binary	11001110101010011010000 (23 bits)
Octal	0o31652320
Hexadecimal	0x6754D0

Divisor Catalog (20)

Collatz Trajectory (134 steps to reach 1)

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

6,771,920 3,385,960 1,692,980 846,490 423,245 1,269,736 634,868 317,434 158,717 476,152 238,076 119,038 59,519 178,558 89,279 267,838 133,919 401,758 200,879 602,638 301,319 903,958 451,979 1,355,938 677,969 2,033,908 1,016,954 508,477 1,525,432 762,716 381,358 190,679 572,038 286,019 858,058 429,029 1,287,088 643,544 321,772 160,886 80,443 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248 203,624 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159

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