λ
Harmonic Matrix

3,655,045

5 × 23 × 37 × 859
Deficient Odd Composite

3,655,045 has digital root 1. The neighboring primes are 3655021 and 3655079; its proper-divisor sum differs from the starting integer by -2,604,170.

Prime Factor Structure

Factorization String 5 × 23 × 37 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,705,920
Proper Divisor Sum 1,050,875
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3655021 ← → #3655079

Radix Representation

Decimal 3655045
Binary 1101111100010110000101 (22 bits)
Octal 0o15742605
Hexadecimal 0x37C585

Divisor Catalog (16)

1 5 23 37 115 185 851 859 4,255 4,295 19,757 31,783 98,785 158,915 731,009 3,655,045

Collatz Trajectory (159 steps to reach 1)

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

3,655,045 10,965,136 5,482,568 2,741,284 1,370,642 685,321 2,055,964 1,027,982 513,991 1,541,974 770,987 2,312,962 1,156,481 3,469,444 1,734,722 867,361 2,602,084 1,301,042 650,521 1,951,564 975,782 487,891 1,463,674 731,837 2,195,512 1,097,756 548,878 274,439 823,318 411,659 1,234,978 617,489 1,852,468 926,234 463,117 1,389,352 694,676 347,338 173,669 521,008 260,504 130,252 65,126 32,563 97,690 48,845 146,536 73,268 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644

More profiles

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