λ
Harmonic Matrix

2,008,745

5 × 43 × 9343
Deficient Odd Composite

2,008,745 has digital root 8. The neighboring primes are 2008739 and 2008763; its proper-divisor sum differs from the starting integer by -1,550,674.

Prime Factor Structure

Factorization String 5 × 43 × 9343
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,466,816
Proper Divisor Sum 458,071
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2008739 ← → #2008763

Radix Representation

Decimal 2008745
Binary 111101010011010101001 (21 bits)
Octal 0o7523251
Hexadecimal 0x1EA6A9

Divisor Catalog (8)

1 5 43 215 9,343 46,715 401,749 2,008,745

Collatz Trajectory (166 steps to reach 1)

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

2,008,745 6,026,236 3,013,118 1,506,559 4,519,678 2,259,839 6,779,518 3,389,759 10,169,278 5,084,639 15,253,918 7,626,959 22,880,878 11,440,439 34,321,318 17,160,659 51,481,978 25,740,989 77,222,968 38,611,484 19,305,742 9,652,871 28,958,614 14,479,307 43,437,922 21,718,961 65,156,884 32,578,442 16,289,221 48,867,664 24,433,832 12,216,916 6,108,458 3,054,229 9,162,688 4,581,344 2,290,672 1,145,336 572,668 286,334 143,167 429,502 214,751 644,254 322,127 966,382 483,191 1,449,574 724,787 2,174,362 1,087,181 3,261,544 1,630,772 815,386 407,693 1,223,080 611,540 305,770 152,885 458,656

More profiles

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