λ
Harmonic Matrix

3,651,657

3 × 1217219
Deficient Odd Composite

3,651,657 has digital root 6. The neighboring primes are 3651653 and 3651671; its proper-divisor sum differs from the starting integer by -2,434,434.

Prime Factor Structure

Factorization String 3 × 1217219
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,868,880
Proper Divisor Sum 1,217,223
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3651653 ← → #3651671

Radix Representation

Decimal 3651657
Binary 1101111011100001001001 (22 bits)
Octal 0o15734111
Hexadecimal 0x37B849

Divisor Catalog (4)

1 3 1,217,219 3,651,657

Collatz Trajectory (115 steps to reach 1)

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

3,651,657 10,954,972 5,477,486 2,738,743 8,216,230 4,108,115 12,324,346 6,162,173 18,486,520 9,243,260 4,621,630 2,310,815 6,932,446 3,466,223 10,398,670 5,199,335 15,598,006 7,799,003 23,397,010 11,698,505 35,095,516 17,547,758 8,773,879 26,321,638 13,160,819 39,482,458 19,741,229 59,223,688 29,611,844 14,805,922 7,402,961 22,208,884 11,104,442 5,552,221 16,656,664 8,328,332 4,164,166 2,082,083 6,246,250 3,123,125 9,369,376 4,684,688 2,342,344 1,171,172 585,586 292,793 878,380 439,190 219,595 658,786 329,393 988,180 494,090 247,045 741,136 370,568 185,284 92,642 46,321 138,964

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