λ
Harmonic Matrix

7,095,046

2 × 7 × 37 × 13697
Deficient Even Composite

7,095,046 has digital root 4. The neighboring primes are 7095041 and 7095059; its proper-divisor sum differs from the starting integer by -1,697,516.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 13697
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,492,576
Proper Divisor Sum 5,397,530
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7095041 ← → #7095059

Radix Representation

Decimal 7095046
Binary 11011000100001100000110 (23 bits)
Octal 0o33041406
Hexadecimal 0x6C4306

Divisor Catalog (16)

1 2 7 14 37 74 259 518 13,697 27,394 95,879 191,758 506,789 1,013,578 3,547,523 7,095,046

Collatz Trajectory (121 steps to reach 1)

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

7,095,046 3,547,523 10,642,570 5,321,285 15,963,856 7,981,928 3,990,964 1,995,482 997,741 2,993,224 1,496,612 748,306 374,153 1,122,460 561,230 280,615 841,846 420,923 1,262,770 631,385 1,894,156 947,078 473,539 1,420,618 710,309 2,130,928 1,065,464 532,732 266,366 133,183 399,550 199,775 599,326 299,663 898,990 449,495 1,348,486 674,243 2,022,730 1,011,365 3,034,096 1,517,048 758,524 379,262 189,631 568,894 284,447 853,342 426,671 1,280,014 640,007 1,920,022 960,011 2,880,034 1,440,017 4,320,052 2,160,026 1,080,013 3,240,040 1,620,020

More profiles

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