λ
Harmonic Matrix

7,029,460

22 × 5 × 131 × 2683
Abundant Even Composite

7,029,460 has digital root 1. The neighboring primes are 7029427 and 7029479; its proper-divisor sum differs from the starting integer by 821,176.

Prime Factor Structure

Factorization String 2^2 × 5 × 131 × 2683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,880,096
Proper Divisor Sum 7,850,636
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7029427 ← → #7029479

Radix Representation

Decimal 7029460
Binary 11010110100001011010100 (23 bits)
Octal 0o32641324
Hexadecimal 0x6B42D4

Divisor Catalog (24)

1 2 4 5 10 20 131 262 524 655 1,310 2,620 2,683 5,366 10,732 13,415 26,830 53,660 351,473 702,946 1,405,892 1,757,365 3,514,730 7,029,460

Collatz Trajectory (72 steps to reach 1)

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

7,029,460 3,514,730 1,757,365 5,272,096 2,636,048 1,318,024 659,012 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35

More profiles

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