6,772,960

2⁵ × 5 × 42331

6,772,960 factors as 2^5 × 5 × 42331. Its 24 positive divisors give a proper-divisor sum of 9,228,536, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 42331

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,001,496

Proper Divisor Sum 9,228,536

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6772951 ← → #6772967

Radix Representation

Decimal	6772960
Binary	11001110101100011100000 (23 bits)
Octal	0o31654340
Hexadecimal	0x6758E0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 42,331 84,662 169,324 211,655 338,648 423,310 677,296 846,620 1,354,592 1,693,240 3,386,480 6,772,960

Collatz Trajectory (129 steps to reach 1)

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

6,772,960 3,386,480 1,693,240 846,620 423,310 211,655 634,966 317,483 952,450 476,225 1,428,676 714,338 357,169 1,071,508 535,754 267,877 803,632 401,816 200,908 100,454 50,227 150,682 75,341 226,024 113,012 56,506 28,253 84,760 42,380 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180

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