λ
Integer Codex

3,210,095

5 × 7 × 41 × 2237
Deficient Odd Composite

For 3,210,095, the 16 positive divisors have a total of 4,511,808. Removing 3,210,095 leaves 1,301,713, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 2237
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,511,808
Proper Divisor Sum 1,301,713
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3210091 ← → #3210101

Radix Representation

Decimal 3210095
Binary 1100001111101101101111 (22 bits)
Octal 0o14175557
Hexadecimal 0x30FB6F

Divisor Catalog (16)

1 5 7 35 41 205 287 1,435 2,237 11,185 15,659 78,295 91,717 458,585 642,019 3,210,095

Collatz Trajectory (102 steps to reach 1)

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

3,210,095 9,630,286 4,815,143 14,445,430 7,222,715 21,668,146 10,834,073 32,502,220 16,251,110 8,125,555 24,376,666 12,188,333 36,565,000 18,282,500 9,141,250 4,570,625 13,711,876 6,855,938 3,427,969 10,283,908 5,141,954 2,570,977 7,712,932 3,856,466 1,928,233 5,784,700 2,892,350 1,446,175 4,338,526 2,169,263 6,507,790 3,253,895 9,761,686 4,880,843 14,642,530 7,321,265 21,963,796 10,981,898 5,490,949 16,472,848 8,236,424 4,118,212 2,059,106 1,029,553 3,088,660 1,544,330 772,165 2,316,496 1,158,248 579,124 289,562 144,781 434,344 217,172 108,586 54,293 162,880 81,440 40,720 20,360

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