4,014,042

2 × 3 × 139 × 4813

4,014,042 has digital root 6. The neighboring primes are 4014011 and 4014047; its proper-divisor sum differs from the starting integer by 59,436.

Prime Factor Structure

Factorization String 2 × 3 × 139 × 4813

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,087,520

Proper Divisor Sum 4,073,478

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4014011 ← → #4014047

Radix Representation

Decimal	4014042
Binary	1111010011111111011010 (22 bits)
Octal	0o17237732
Hexadecimal	0x3D3FDA

Divisor Catalog (16)

1 2 3 6 139 278 417 834 4,813 9,626 14,439 28,878 669,007 1,338,014 2,007,021 4,014,042

Collatz Trajectory (167 steps to reach 1)

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

4,014,042 2,007,021 6,021,064 3,010,532 1,505,266 752,633 2,257,900 1,128,950 564,475 1,693,426 846,713 2,540,140 1,270,070 635,035 1,905,106 952,553 2,857,660 1,428,830 714,415 2,143,246 1,071,623 3,214,870 1,607,435 4,822,306 2,411,153 7,233,460 3,616,730 1,808,365 5,425,096 2,712,548 1,356,274 678,137 2,034,412 1,017,206 508,603 1,525,810 762,905 2,288,716 1,144,358 572,179 1,716,538 858,269 2,574,808 1,287,404 643,702 321,851 965,554 482,777 1,448,332 724,166 362,083 1,086,250 543,125 1,629,376 814,688 407,344 203,672 101,836 50,918 25,459

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