λ
Harmonic Matrix

3,665,980

22 × 5 × 183299
Abundant Even Composite

3,665,980 has digital root 1. The neighboring primes are 3665941 and 3665989; its proper-divisor sum differs from the starting integer by 366,640.

Prime Factor Structure

Factorization String 2^2 × 5 × 183299
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,698,600
Proper Divisor Sum 4,032,620
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3665941 ← → #3665989

Radix Representation

Decimal 3665980
Binary 1101111111000000111100 (22 bits)
Octal 0o15770074
Hexadecimal 0x37F03C

Divisor Catalog (12)

1 2 4 5 10 20 183,299 366,598 733,196 916,495 1,832,990 3,665,980

Collatz Trajectory (58 steps to reach 1)

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

3,665,980 1,832,990 916,495 2,749,486 1,374,743 4,124,230 2,062,115 6,186,346 3,093,173 9,279,520 4,639,760 2,319,880 1,159,940 579,970 289,985 869,956 434,978 217,489 652,468 326,234 163,117 489,352 244,676 122,338 61,169 183,508 91,754 45,877 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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