4,202,015

5 × 461 × 1823

For 4,202,015, the 8 positive divisors have a total of 5,056,128. Removing 4,202,015 leaves 854,113, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 461 × 1823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,056,128

Proper Divisor Sum 854,113

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #4201969 ← → #4202017

Radix Representation

Decimal	4202015
Binary	10000000001111000011111 (23 bits)
Octal	0o20017037
Hexadecimal	0x401E1F

Divisor Catalog (8)

1 5 461 1,823 2,305 9,115 840,403 4,202,015

Collatz Trajectory (242 steps to reach 1)

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

4,202,015 12,606,046 6,303,023 18,909,070 9,454,535 28,363,606 14,181,803 42,545,410 21,272,705 63,818,116 31,909,058 15,954,529 47,863,588 23,931,794 11,965,897 35,897,692 17,948,846 8,974,423 26,923,270 13,461,635 40,384,906 20,192,453 60,577,360 30,288,680 15,144,340 7,572,170 3,786,085 11,358,256 5,679,128 2,839,564 1,419,782 709,891 2,129,674 1,064,837 3,194,512 1,597,256 798,628 399,314 199,657 598,972 299,486 149,743 449,230 224,615 673,846 336,923 1,010,770 505,385 1,516,156 758,078 379,039 1,137,118 568,559 1,705,678 852,839 2,558,518 1,279,259 3,837,778 1,918,889 5,756,668

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