λ
Integer Codex

3,402,713

41 × 149 × 557
Deficient Odd Composite

For 3,402,713, the 8 positive divisors have a total of 3,515,400. Removing 3,402,713 leaves 112,687, which gives the deficient classification.

Prime Factor Structure

Factorization String 41 × 149 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,515,400
Proper Divisor Sum 112,687
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3402709 ← → #3402727

Radix Representation

Decimal 3402713
Binary 1100111110101111011001 (22 bits)
Octal 0o14765731
Hexadecimal 0x33EBD9

Divisor Catalog (8)

1 41 149 557 6,109 22,837 82,993 3,402,713

Collatz Trajectory (84 steps to reach 1)

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

3,402,713 10,208,140 5,104,070 2,552,035 7,656,106 3,828,053 11,484,160 5,742,080 2,871,040 1,435,520 717,760 358,880 179,440 89,720 44,860 22,430 11,215 33,646 16,823 50,470 25,235 75,706 37,853 113,560 56,780 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101

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