λ
Integer Codex

6,962,515

5 × 7 × 198929
Deficient Odd Composite

For 6,962,515, the 8 positive divisors have a total of 9,548,640. Removing 6,962,515 leaves 2,586,125, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 198929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,548,640
Proper Divisor Sum 2,586,125
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6962471 ← → #6962551

Radix Representation

Decimal 6962515
Binary 11010100011110101010011 (23 bits)
Octal 0o32436523
Hexadecimal 0x6A3D53

Divisor Catalog (8)

1 5 7 35 198,929 994,645 1,392,503 6,962,515

Collatz Trajectory (160 steps to reach 1)

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

6,962,515 20,887,546 10,443,773 31,331,320 15,665,660 7,832,830 3,916,415 11,749,246 5,874,623 17,623,870 8,811,935 26,435,806 13,217,903 39,653,710 19,826,855 59,480,566 29,740,283 89,220,850 44,610,425 133,831,276 66,915,638 33,457,819 100,373,458 50,186,729 150,560,188 75,280,094 37,640,047 112,920,142 56,460,071 169,380,214 84,690,107 254,070,322 127,035,161 381,105,484 190,552,742 95,276,371 285,829,114 142,914,557 428,743,672 214,371,836 107,185,918 53,592,959 160,778,878 80,389,439 241,168,318 120,584,159 361,752,478 180,876,239 542,628,718 271,314,359 813,943,078 406,971,539 1,220,914,618 610,457,309 1,831,371,928 915,685,964 457,842,982 228,921,491 686,764,474 343,382,237

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