λ
Integer Codex

3,413,497

101 × 33797
Deficient Odd Composite

For 3,413,497, the 4 positive divisors have a total of 3,447,396. Removing 3,413,497 leaves 33,899, which gives the deficient classification.

Prime Factor Structure

Factorization String 101 × 33797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,447,396
Proper Divisor Sum 33,899
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3413489 ← → #3413507

Radix Representation

Decimal 3413497
Binary 1101000001010111111001 (22 bits)
Octal 0o15012771
Hexadecimal 0x3415F9

Divisor Catalog (4)

1 101 33,797 3,413,497

Collatz Trajectory (133 steps to reach 1)

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

3,413,497 10,240,492 5,120,246 2,560,123 7,680,370 3,840,185 11,520,556 5,760,278 2,880,139 8,640,418 4,320,209 12,960,628 6,480,314 3,240,157 9,720,472 4,860,236 2,430,118 1,215,059 3,645,178 1,822,589 5,467,768 2,733,884 1,366,942 683,471 2,050,414 1,025,207 3,075,622 1,537,811 4,613,434 2,306,717 6,920,152 3,460,076 1,730,038 865,019 2,595,058 1,297,529 3,892,588 1,946,294 973,147 2,919,442 1,459,721 4,379,164 2,189,582 1,094,791 3,284,374 1,642,187 4,926,562 2,463,281 7,389,844 3,694,922 1,847,461 5,542,384 2,771,192 1,385,596 692,798 346,399 1,039,198 519,599 1,558,798 779,399

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