λ
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4,013,484

22 × 3 × 19 × 29 × 607
Abundant Even Composite

4,013,484 factors as 2^2 × 3 × 19 × 29 × 607. Its 48 positive divisors give a proper-divisor sum of 6,200,916, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 29 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,214,400
Proper Divisor Sum 6,200,916
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4013473 ← → #4013497

Radix Representation

Decimal 4013484
Binary 1111010011110110101100 (22 bits)
Octal 0o17236654
Hexadecimal 0x3D3DAC

Divisor Catalog (48)

1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 607 1,102 1,214 1,653 1,821 2,204 2,428 3,306 3,642 6,612 7,284 11,533 17,603 23,066 34,599 35,206 46,132 52,809 69,198 70,412 105,618 138,396 211,236 334,457 668,914 1,003,371 1,337,828 2,006,742 4,013,484

Collatz Trajectory (136 steps to reach 1)

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

4,013,484 2,006,742 1,003,371 3,010,114 1,505,057 4,515,172 2,257,586 1,128,793 3,386,380 1,693,190 846,595 2,539,786 1,269,893 3,809,680 1,904,840 952,420 476,210 238,105 714,316 357,158 178,579 535,738 267,869 803,608 401,804 200,902 100,451 301,354 150,677 452,032 226,016 113,008 56,504 28,252 14,126 7,063 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252

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