λ
Harmonic Matrix

3,752,078

2 × 11 × 29 × 5881
Deficient Even Composite

3,752,078 has digital root 5. The neighboring primes are 3752069 and 3752081; its proper-divisor sum differs from the starting integer by -1,151,596.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 5881
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,352,560
Proper Divisor Sum 2,600,482
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3752069 ← → #3752081

Radix Representation

Decimal 3752078
Binary 1110010100000010001110 (22 bits)
Octal 0o16240216
Hexadecimal 0x39408E

Divisor Catalog (16)

1 2 11 22 29 58 319 638 5,881 11,762 64,691 129,382 170,549 341,098 1,876,039 3,752,078

Collatz Trajectory (185 steps to reach 1)

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

3,752,078 1,876,039 5,628,118 2,814,059 8,442,178 4,221,089 12,663,268 6,331,634 3,165,817 9,497,452 4,748,726 2,374,363 7,123,090 3,561,545 10,684,636 5,342,318 2,671,159 8,013,478 4,006,739 12,020,218 6,010,109 18,030,328 9,015,164 4,507,582 2,253,791 6,761,374 3,380,687 10,142,062 5,071,031 15,213,094 7,606,547 22,819,642 11,409,821 34,229,464 17,114,732 8,557,366 4,278,683 12,836,050 6,418,025 19,254,076 9,627,038 4,813,519 14,440,558 7,220,279 21,660,838 10,830,419 32,491,258 16,245,629 48,736,888 24,368,444 12,184,222 6,092,111 18,276,334 9,138,167 27,414,502 13,707,251 41,121,754 20,560,877 61,682,632 30,841,316

More profiles

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