λ
Harmonic Matrix

3,788,123

23 × 164701
Deficient Odd Composite

3,788,123 has digital root 5. The neighboring primes are 3788117 and 3788159; its proper-divisor sum differs from the starting integer by -3,623,398.

Prime Factor Structure

Factorization String 23 × 164701
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,952,848
Proper Divisor Sum 164,725
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3788117 ← → #3788159

Radix Representation

Decimal 3788123
Binary 1110011100110101011011 (22 bits)
Octal 0o16346533
Hexadecimal 0x39CD5B

Divisor Catalog (4)

1 23 164,701 3,788,123

Collatz Trajectory (102 steps to reach 1)

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

3,788,123 11,364,370 5,682,185 17,046,556 8,523,278 4,261,639 12,784,918 6,392,459 19,177,378 9,588,689 28,766,068 14,383,034 7,191,517 21,574,552 10,787,276 5,393,638 2,696,819 8,090,458 4,045,229 12,135,688 6,067,844 3,033,922 1,516,961 4,550,884 2,275,442 1,137,721 3,413,164 1,706,582 853,291 2,559,874 1,279,937 3,839,812 1,919,906 959,953 2,879,860 1,439,930 719,965 2,159,896 1,079,948 539,974 269,987 809,962 404,981 1,214,944 607,472 303,736 151,868 75,934 37,967 113,902 56,951 170,854 85,427 256,282 128,141 384,424 192,212 96,106 48,053 144,160

More profiles

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