6,980,832

2⁵ × 3² × 24239

6,980,832 has the prime decomposition 2^5 × 3^2 × 24239. Its 3 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 24239

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 19,852,560

Proper Divisor Sum 12,871,728

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6980777 ← → #6980833

Radix Representation

Decimal	6980832
Binary	11010101000010011100000 (23 bits)
Octal	0o32502340
Hexadecimal	0x6A84E0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 24,239 48,478 72,717 96,956 145,434 193,912 218,151 290,868 387,824 436,302 581,736 775,648 872,604 1,163,472 1,745,208 2,326,944 3,490,416 6,980,832

Collatz Trajectory (72 steps to reach 1)

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

6,980,832 3,490,416 1,745,208 872,604 436,302 218,151 654,454 327,227 981,682 490,841 1,472,524 736,262 368,131 1,104,394 552,197 1,656,592 828,296 414,148 207,074 103,537 310,612 155,306 77,653 232,960 116,480 58,240 29,120 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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