λ
Harmonic Matrix

3,726,388

22 × 931597
Deficient Even Composite

3,726,388 has digital root 1. The neighboring primes are 3726361 and 3726397; its proper-divisor sum differs from the starting integer by -931,590.

Prime Factor Structure

Factorization String 2^2 × 931597
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,521,186
Proper Divisor Sum 2,794,798
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3726361 ← → #3726397

Radix Representation

Decimal 3726388
Binary 1110001101110000110100 (22 bits)
Octal 0o16156064
Hexadecimal 0x38DC34

Divisor Catalog (6)

1 2 4 931,597 1,863,194 3,726,388

Collatz Trajectory (141 steps to reach 1)

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

3,726,388 1,863,194 931,597 2,794,792 1,397,396 698,698 349,349 1,048,048 524,024 262,012 131,006 65,503 196,510 98,255 294,766 147,383 442,150 221,075 663,226 331,613 994,840 497,420 248,710 124,355 373,066 186,533 559,600 279,800 139,900 69,950 34,975 104,926 52,463 157,390 78,695 236,086 118,043 354,130 177,065 531,196 265,598 132,799 398,398 199,199 597,598 298,799 896,398 448,199 1,344,598 672,299 2,016,898 1,008,449 3,025,348 1,512,674 756,337 2,269,012 1,134,506 567,253 1,701,760 850,880

More profiles

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