λ
Integer Codex

3,745,964

22 × 19 × 23 × 2143
Deficient Even Composite

For 3,745,964, the 24 positive divisors have a total of 7,203,840. Removing 3,745,964 leaves 3,457,876, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 19 × 23 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,203,840
Proper Divisor Sum 3,457,876
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3745961 ← → #3745997

Radix Representation

Decimal 3745964
Binary 1110010010100010101100 (22 bits)
Octal 0o16224254
Hexadecimal 0x3928AC

Divisor Catalog (24)

1 2 4 19 23 38 46 76 92 437 874 1,748 2,143 4,286 8,572 40,717 49,289 81,434 98,578 162,868 197,156 936,491 1,872,982 3,745,964

Collatz Trajectory (172 steps to reach 1)

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

3,745,964 1,872,982 936,491 2,809,474 1,404,737 4,214,212 2,107,106 1,053,553 3,160,660 1,580,330 790,165 2,370,496 1,185,248 592,624 296,312 148,156 74,078 37,039 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661

More profiles

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