3,802,015

5 × 7 × 23 × 4723

For 3,802,015, the 16 positive divisors have a total of 5,442,048. Removing 3,802,015 leaves 1,640,033, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 23 × 4723

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,442,048

Proper Divisor Sum 1,640,033

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3802003 ← → #3802027

Radix Representation

Decimal	3802015
Binary	1110100000001110011111 (22 bits)
Octal	0o16401637
Hexadecimal	0x3A039F

Divisor Catalog (16)

1 5 7 23 35 115 161 805 4,723 23,615 33,061 108,629 165,305 543,145 760,403 3,802,015

Collatz Trajectory (247 steps to reach 1)

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

3,802,015 11,406,046 5,703,023 17,109,070 8,554,535 25,663,606 12,831,803 38,495,410 19,247,705 57,743,116 28,871,558 14,435,779 43,307,338 21,653,669 64,961,008 32,480,504 16,240,252 8,120,126 4,060,063 12,180,190 6,090,095 18,270,286 9,135,143 27,405,430 13,702,715 41,108,146 20,554,073 61,662,220 30,831,110 15,415,555 46,246,666 23,123,333 69,370,000 34,685,000 17,342,500 8,671,250 4,335,625 13,006,876 6,503,438 3,251,719 9,755,158 4,877,579 14,632,738 7,316,369 21,949,108 10,974,554 5,487,277 16,461,832 8,230,916 4,115,458 2,057,729 6,173,188 3,086,594 1,543,297 4,629,892 2,314,946 1,157,473 3,472,420 1,736,210 868,105

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