λ
Integer Codex

6,840,470

2 × 5 × 7 × 13 × 7517
Abundant Even Composite

For 6,840,470, the 32 positive divisors have a total of 15,156,288. Removing 6,840,470 leaves 8,315,818, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 7517
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,156,288
Proper Divisor Sum 8,315,818
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6840469 ← → #6840473

Radix Representation

Decimal 6840470
Binary 11010000110000010010110 (23 bits)
Octal 0o32060226
Hexadecimal 0x686096

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 7,517 15,034 37,585 52,619 75,170 97,721 105,238 195,442 263,095 488,605 526,190 684,047 977,210 1,368,094 3,420,235 6,840,470

Collatz Trajectory (103 steps to reach 1)

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

6,840,470 3,420,235 10,260,706 5,130,353 15,391,060 7,695,530 3,847,765 11,543,296 5,771,648 2,885,824 1,442,912 721,456 360,728 180,364 90,182 45,091 135,274 67,637 202,912 101,456 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

More profiles

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